EXERCISE - A
a) 35: 40 :10 b) 14 :10 :35 c) 2:5 :7 d) 10: 14:35
2) If a: b = 3:8, find the value of (5a - 3b)/(2 a + b).
a) 9/14 b) 14/9 c) - 9/14 d) - 14/9
3) If A:B:C =1:3:5, what is the value of (4A - B + 2C)/3(A + B + C)?
a) 8/27 b) 10/27 c) 11/27 d) 1/3
4) P/Q =R/S =T/U = 3/4, then what is the value of (4P+ 5R+7T):(3Q+4S+7U)?
a) 12:19 b) 6:7 c) 3:4 d) 5:8
5) If 25% of X is equals to 40% of Y, then what is the ratio of X and Y
a) 8:5 b) 5 :3 c) 9:5 d) 4:5
6) If 35% of A is equals to 60% of B, the then what is the ratio of A and B?
a) 8:13 b) 12 :7 c) 2:3 d) 13:7
7) Marks of two candidates x and y are in the ratio 4:7. If the marks of x is 140, then what will be the marks of y ?
a) 210 b) 180 c) 245 d) 225
8) The bus fare between two cities is increased in the 5:11. Find the increase in the fare, if the original fare is Rs 275
a) 605 b) 121 c) 330 d) 242
9) Two numbers are in the ratio 3:4. On increasing each of them by 30, the ratio becomes the 9 :10. The numbers are
a) 30, 40 b) 15, 20 c) 12 ,16 d) 18, 24
10) Two numbers are in the ratio 7:5, On diminishing each of them by 40, the ratio becomes 27:17. The difference between the numbers is?
a) 75 b) 40 c) 25 d) 50
11) The ratio 2 numbers is 2:3. If the sum of both the numbers is 75, then what is the larger number among both the numbers?
a) 45 b) 30 c) 50 d) 48
12) The ratio of three numbers is 3:6:8. If their product is 9216, then what is the sum of the three numbers?
a) 96 b) 72 c) 144 d) 68
13) The ratio two numbers is 5:6. If their product is 1470, then what is the sum of both the numbers?
a) 210 b) 77 c) 132 d) 98
14) Of three positive numbers ,nthe ratio first and second is 5:2, ratio of second and third is 5:4, The product of first and third is 1800. What is the sum of the three numbers?
a) 43 b) 133 c) 119 d) 129
15) The sum of the three numbers is 162. If the ratio of the first number to the second number is 5:7 and that of the second number to the third number is 5:3, then what is the second number ?
a) 35 b) 70 c) 80 d) 40
16) 3 numbers are in the ratio 1/2: 2/3 :3/4. The difference between the greatest and the smallest number is 27. The average of three numbers is
a) 40 b) 81 c) 69 d) 54
17) If Simran's salary is 7/6 times of Owais and Khushi 's is 8/7 times of Owais, what is the ratio of Simran's salary to Khushi?
a) 49:48 b) 3:4 c) 4:3 d) 48:49
18) In any army selection process, the ratio of selected to unselected candidates was 9 : 2. If 80 less had applied and 20 lessnselected, the ratio of selected to unselected would have been 5:1. How many candidates had applied for the process ?
a) 6160 b) 1540 c) 3080 d):9240
19) In an examination, the success to failure ratio was 5:2. Had the number of failure been 14 more, then the success to failure ratio would have been 9:5. The total number of candidates who appeared for the examination was
a) 210 b) 196 c):126 d) 203
20) x and y are two numbers such that their mean proportion is 16 and third proportion is 128. What is the value of x and y ?
a) 8 and 16 b) 16 and 32 c) 8 and 32 d) 16 and 16
21) What is the ratio between the fourth proportion of 3, 4, 9 and the mean proportional between 2 and 98 ?
a) 7:8 b) 7:6 c) 8:7 d) 6:7
22) Rs18200 is divided among X,Y, Z in the ratio 1/3 , 1/4 :1/2. What is the share in rupees of X?
a) 7000 b) 4400 c);4250 d):5600
23) Rs7750 is divided among X,y,z such that 3 times of X's share is equal to 5 times of y's share which is equal to 2 times of z's share . What is the share (in Rs) of z?
a) 4250 b) 3750 c) 3875 d) 4475
1d 2c 3c 4b 5a 6b 7c 8c 9b 10d 11a 12d 13b 14d 15b 16c 17a 18c 19b 20c 21d 22d 23b
EXERCISE - B
1) Rs6300 is divided between x, y, z such that x: y= 7:5 and y: z =4:3. Find the share of y.
a) 1800 b) 2000 c) 2200 d) 2400
2) What is the ratio of the mean proportional between 14.4 and 3.6 then the third proportional the third proportional of 5 and 4 ?
a) 4: 9 b) 5:8 c) 9:4 d) 8:5
3) Two numbers A and B are in the ratio 5:2. If 4 is added to each number, then this ratio becomes 9:4. If 5 is subtracted from each of the original numbers , then the ratio of A and B will be?
a) 3:1 b) 8: 3 c) 7:2 d) 4:1
4) Three numbers are in the ratio 1/2: 2/3: 3/4. The difference between the greatest and the smallest number is 27. The smallest number is
a) 81 b) 40 c) 72 d) 54
5) Incomes of A and B are in the ratio 5:3 and their expenditures are in the ratio 9:5. If income of A is twice the expenditure of B, then what is the ratio of savings of A and B?
a) 2:3 b) 1: 1 c) 3:2 d) 3:4
6) Two numbers are in the ratio of 7:5. On diminishing each of them by 40, the ratio becomes 27: 17. The sum of the numbers is
a) 300 b) 240 c) 325 d) 275
7) The ratio of the income of a and b is 2:3 and that of their expenditures is 1:3. If 905 B's expenditure is equal to the income of a, then what is the ratio of the savings of a and b ?
a) 1:1 b) 9:8 c) 8:7 d) 3:2
8) A sum of Rs4360 was to be divided into among A, B, C and D in the ratio of 3:4:5:8, but it was divided in the ratio 1/3 :1/4 :1/5 :1/8 by mistake, As a result
a) A received Rs956 more
b) B received Rs 318 more
c) D received Rs1144 less
d) C received Rs132 less
9) A crate of eggs holds one rotten eggs out of every 25 eggs in it. If 5 out of 8 rotten eggs are unusable and there are total 10 unusable eggs in the crate, then calculate the number of eggs in the crate .
a) 380 b) 400 c) 420 d) 440
10) The ratio of 2 numbers is 6:11 and their difference is 65. What will be the smaller number among both the numbers ?
a) 58 b) 65 c) 52 d) 78
11) The ratio of two numbers is 3:7. If their product is 1344, then what is the sum of both the numbers ?
a) 80 b) 60 c) 30 d) 168
12) If the ratio of two numbers is 5:4, if the sum of both the numbers is 180, then what is the larger number among both the numbers ?
a) 100 b) 80 c) 60 d) 75
13) The ratio 3 numbers is 2:3:5. If the sum of the 3 number is 275, then what is the largest among three numbers ?
a) 142 b) 82.5 c) 137.5 d) 152
14) The ratio of 3 numbers is 5:6:8 if the sum of the three number is 380, then what is the smallest among the three numbers ?
a) 75 b) 80 c) 120 d) 100
15) The sum of three numbers is 67. If the ratio of the first number to the second number is 3:5 and that of the second number to the third number is 4:7, then what is the second number?
a) 20 b) 24 c) 18 d) 16
16) A sum of the Rs3170 is divided among x, y, z such that if Rs13 , Rs12 and Rs18 will be diminished from the shares of x, y and z respectively, then their share will be in the ratio 20:18 :21. What is the initial share (in Rs) of z?
a) 1131 b) 1530 c) 910 d) 1350
17) if a: b=7 :9 and b: c= 15:7 then a: c =
a) 5:3 b) 7 :21 c) 3:5 d) 7 :15
18) (3A + 5B)/(3A - 5B) = 5, then a:b = ?
a) 2: 1 b) 5:3 c) 3 :2 d) 5:2
19) calculate the third proportional to 16 and 32?
a) 16 b) 32 c) 64 d) 132
20) if a, b, c ,d and e are in continued proportion, then a/e is equals to
a) a³/b³ b) a⁴/b⁴ c) b³/a³ d) b⁴/a⁴
21) Find the 4th proportional to 3, 7 and 9.
a) 21 b) 22 c) 10 d) 8
22) The fourth proportional to p²- pq +q², p³+ q³, p - q is
a) p+ q b) p - q c) p²+ q² d) p² - q²
23) What is the mean proportional between (15 + √200) and (27- √648) ?
a) 4 b) 14√7 c) 3√5 d) 5√3
24) Find the value of (a + b)/(a -b), if a/b= 5/3
a) 2/3 b) 8/5 c) 5/8 d) 4
1b 2c 3a 4d 5b 6a 7a 8c 9b 10d 11a 12a 13c 14d 15a 16a 17a 18d 19c 20b 21a 22d 23c 24a
EXERCISE - C
1) If A: B=3:4 and B: C= 6:7, find:
a) A: C.
b) A: B: C.
2) If P: Q=9:4 and P:R= 6:11, find:
a) Q: R.
b) P: Q: R
3) Share out 120 hours of computer time between 4 scientists in the ratio 2:1:4:3.
4) The population of three villages are 2500, 3750 and 7500. A consignment of 13200 tonnes of grain is to be shared according to the population. How much goes to each village ?
5) Increase Rs450 in the ratio 5:2.
6) Decrease 7.20 kg in the ratio 7:11.
7) Divide Rs6902 among A, B and C so that A's share is to B's share as 1:2 and B's share is to be 3:4.
8) Divide 3900 among A, B and C so that the four times A's share, three times B's share and twice C's share may all be equal.
9) Find : i) the four proportion to 6, 7 and 9.
ii) the third proportional to 2.4 and 0.72.
ii) the mean proportional to 8 and 18.
10) Two numbers are in the ratio 5:4. When 30 is subtracted from each, the resulting numbers have the ratio 4:3. Find the numbers.
11) A garrison of 3000 men has provisions for 64 days. At the end 24 days, reinforcement arrives and it is found that now the remaining provisions will last 24 days only. What is the strength of reinforcement.
12) A man undertakes to do a certain work in 150 days. He employees 200 men. He finds that only a quarter of the work is done in 50 days . How many additional men should he employ so that the whole work is finished in time ?
13) A garrison of 3600 men was provisions for 15 weeks. How long will the provisions last, if 900 more men join them and the daily allowance per man is reduced by 20%?
14) If 50 men can do a piece of work in 12 days working 8 hours a day, how many hours a day would 60 men have to work in order to do another piece of work, twice as big in 16 days ?
15) Two men undertakes to do a piece of work for Rs288. One can do it in 8 days and the other in 9 days; but with the help of a boy they finish the work in 7/2 days. Find the share of each in the money.
16) A car travelling at 90 kmph completes a certain journey in 40 minutes. How long would it take a car travelling at
a) 100 kmph
b) 75 kmph to complete the same journey?
17) Water flows constantly into a cylindrical beaker with a base area 24 cm². The water level rises by 10cm every second. How quickly would the water level rise in a beaker with a base area of
a) 20 cm²
b) 30 cm², if the flow rate remains the same.
18) A 1.2 kilowatt electric heater boils a given amount of water in 10 minutes. How long would it take
a) a less powerful heater of 800 watts.
b) a more powerful heater of 2 kilowatt to boil the same amount of water?
19) A man walks from his house at 5 km an hour and reaches his office 20 minutes late. If his speed had been 15/2 kmph, he would have reached 12 minutes early. How far his office from his house ?
20) A man sitting in a train, which is travelling at the rate of 50 kmph, observes that it takes 6 seconds for a good train, travelling in the opposite direction, to pass him. If the goods train is to 220 m long, its speed.
21) A train overtakes two person who are walking in the same direction at 2 kmph and 4 kmph respectively and passes them in 9 seconds and 10 seconds respectively. Find the length of the train and its speed in kmph .
22) A railway train crosses a platform 110m long in 10 seconds and passes a telegraph post in 5 seconds . Find the length of the train and its speed per hour.
23) A boat moves down 0-steam at the rate of 1 km in 6 minutes and upstream at the rate of 6 kmph. What is the velocity of the current ?
24) The current of a stream runs at the rate of 5 kmph . A motor-boat goes 10 km upstream and back again to its starting point in 50 minutes. Find the speed of the motor boat in still water.
25) Find two numbers in the ratio of 5 to 4 so that the difference of their cubes is 488.
26) A certain number of labourers promise to do a certain piece of work in 10 days, but 5 of them become absent. If the rest of the labourers complete the work in 12 days, find their original number.
27) A man can walk 600 km in 35 days, resting 9 hours each day; how long will he take to walk 375 km if he rests 10 hours each day and walks 3/2 times as fast as before?
28) How many one rupees coins , fifty paise coins and twenty -five paise coins, of which the numbers are proportional to 4, 5 and 6, are together worth Rs96 ?
29) If 3 men or 4 women can reap a field in 43 days; how long will 7 men and 5 women take to reap it ?
30) Two pipes P and Q can fill a cistern in 12 minutes and 15 minutes respectively. Both are opened together, but at the end of 3 minute the first is turned off . In how much time will the remaining cistern be filled?
31) Two men A and B walk from P to Q (a distance of 21 km) at 3 kmph and 4 kmph respectively. B reaches A, returns immediately and meets A at R. Find the distance from P to R.
32) The wheel of an engine, 4 m 20 cm in circumference, makes 15 revolutions in 4 seconds ; find the speed of the engine in kmph.
EXERCISE - D
1) Two vessel contain milk and water in the ratio 7:5 and 7:9 if both vessel are mixed in the ratio 1:1, find the ratio of milk and water in new mixture ? 49:47
2) Three vessel each of 10 litre capacity contain a mixture of milk and water in the ratio 2:1, 3:1, 3:2. If all the three vessels are emptied in to a large vessel, find the ratio of milk and water in new mixture ? 121:59
3) 2 vessel A and B contains a mixture of milk and water in the ratio 4:5 and 5:1. If both vessel are mixed in the ratio 5:2. Find the ratio of milk and water in new mixture. 5:4
4) A 2 kg of metal of which 1/3 is zinc and rest is copper mixed with 3 kg of metal of which 1/4th is zinc and rest is copper. What is the ratio of zinc to Copper in new mixture. 17:43
5) Ratio of land: water on Earth is 1:2 and ratio of land water in Northern hemisphere is 2:3. Find the ratio of land: water in the southern hemisphere. 4:11
6) ₹ 5600 is to be divided among A, B, C, D in such a way that the ratio of share of A: B is 1:2, B:C is 3:1, C:D is 2:3. Find the share of A + B. ₹3600
6) The ratio of the expenditure of A, B and C 16:12:9 and their total income is ₹1530. Find the share of B's income. If they save 20%, 25% and 40% of their income ? ₹480
7) The total income of A, B and C is ₹ 6060. A spend 80%, B spend 85% and C spend 75% and the ratio of their saving is 5:6:9. Find the income of A ? 1500
8) ₹2366 is divided among 8 men, 10 women and 10 children. Each men get 25% more than each women and each woman get 25% more than a child. Find the amount received by each women. 84.5
9) ₹ 500 is divided among A, B, C in such a way that ₹16 more than 2/5 of A's share, ₹ 70 less than 3/4 of B's share , and ₹4 less than 3/5 of C's share are equal. Find B's share. 200
10) A boy and a girl playing with the pencil. The girl break the pencil in two parts and the boy observe that the ratio of the length of these two parts is same as the ratio of length of pencil to the larger part. Find the ratio in which the girl break the pencil. √5+1:2
11) The ratio of income of A and B is 3:2 and ratio of their expenditure is 4:3. If they save ₹2000 and ₹900. Find their income. 7200,4800
12) The ratio of total amount distributed in all the male and female as salary is 6:5 while the ratio of salary of each male and each female is 2:3. Find the ratio of number of male and female? 9:5
13) ₹430 is divided among 45 persons such that the ratio of total amount received by all men, all women and all childrens are in the ratio 12:15:16. While the ratio of the amount received by each men, each women and each child is 6:5:4. Calculate the number of men, women and children and also find the amount received by each of them. 12, 10
14) ₹5625 is divided among A,B and C in such a way that A receive 1/2 the sum of B + C . Find the amount received by A+ B . If B received 1/4th of A+ C . 3000
15) The ratio of last year income of A, B, C is 3:4:5. While the ratio of their last year income to current year income 4:5, 2:3 and 3:4. If their total current year income is ₹98500. Find the present income of B+C . ₹76000
16) 1 year ago the ratio of income of A and B is 3:5. The ratio of their Last year income to current year income is 2:3 and 45. If their total current year income is ₹4300. Find their present income indivisually ? 1800,2500
17) Ratio of income of A,B,C is 3:7:4 and the ratio of their expenditure is 4:3:5. If A saves 100/7% of his income. Find the ratio of their saving. 6:71:11
18) A dog chase a rabbit. The dog takes 6 leaps for every 7 leaps of the rabbit and the distance covered by rabbit in 6 leaps is equal to the distance covered by dog in 5 leaps. Find the ratio of their speed. 36:35
19) The dog takes 7 jumps for every 10 jumps of the Lion And a Fox takes 12 Jumps for every 10 jumps of the lion. And the distance covered by dog in five Jumps , distance covered by lion in 15 jumps and the distance covered by Fox in 20 jumps is equal. Find the ratio of their speeds . 84:40:36
20) The price of gold is directly proportional to square of its weight. A person broke down the gold in the ratio of 3:2:1 and sold, incurrs a loss of ₹4620. Find the initial price of gold. ₹7560
21) A is inversely proportional to the cube of B. if A=3 then B=2 But if A=8/9 then B=? 3
22) A bag contain 1₹, 50p and 25p coins and the ratio of number of coins is 5:7:9. If the total value of all coins is ₹430. Then find the number of 50p coins. 280
23) A bag contains 1₹, 50p and 25p coins and the ratio of their value is 30 :11 :7. and the total number of coins are 480. Find the number of 50p coins. 132
24) Find the mean proportion of 1/4 and 1/9. 1/6
25) Find the 3rd proportion 18, 36. 72
26) Find the fourth proportion of 12, 16, 18. 24
27) ₹ 710 is divided among A, B, C in such a way that A receives ₹40 more than B, C receives ₹30 more than A . Find the share of A . ₹240
28) The ratio of the age of Ram and Shyam 5 years ago was 2:3 and the ratio of their ages after 5 years would be 3:4. Find the sum of their present ages. 60
29) The ratio of the ages of Ram and Shyam 5 years ago was 3:1 and the ratio of their age after 5 years will be 2:1. Find the present age of both. 35,15
30) The age of Ram is 4 times of his daughter. The age of Ram was 9 times of her daughter 5 years ago. Find their present ages. 32, 8
31) The age of father is three times of his son. 5 years before the age of Son was 1/6 time of his father. Find the present age of son. At the time of marriage of his mother, she was 5 years younger to his father. Find the age of mother. 20
32) The ratio of the age of Meena and her mother is 3:8. Find the ratio of their ages after 4 years. If after 10 years their age difference will be 35 years. 5:12
PERCENTAGE
1) If A= 400 and B = 600, then A is how much percentage less than B?
a) 66.66 b) 25 c) 33.33 d) 50
2) if C= 1200 and D =1500 then D is how much percentage more than C?
a) 20 b) 33.33 c) 25 d) 125
3) A period of 4 hour and 30 minute is what percentage of a day?
a) 75/4 b) 20 c) 50/3 d) 19
4) when a number is increased by 28, it becomes 107% of itself. What is the number?
a) 336 b) 420 c) 400 d) 252
5) two numbers are 35% and 50% lesser than a third number. By how much percent is the second number to be enhanced to make it equal to the first number ?
a) 23.80 b) 15 c) 25 d) 30
6) if the numerator of a fraction is increased by 200% and the denominator of the fraction is increased by 150%, the resultant fraction is 9/35. What is the original fraction?
a) 3/10 b) 2/15 c) 3/14 d) 2/7
7) Shudha spends 80% of her income when her income is increased by 30%. She increases her expenditure by 25%. Her savings are
a) increased by 5% b) decreased by 30% c) decreased by 5% d) increased by 5%
8) The price of commodity is increased by 36% at the quantity purchased is decreased by 30%. What is the percentage increase or decrease in the amount spent on the commodity ?
a) 3.6% increase b) 4.8% increase c) 6% decrease d) 4.8% decrease
9) A number is decrease by 30% then increased by 30%, then further decreased by 10%. What is the net increase/decrease percent in the number (correct to the nearest integer)?
a) 18% increase b) 19% decrease c) 19% increase d) 18% decrease
10) Sudha decided to donate 12% of her monthly income to an orphanage . On the day of donation, she changed her decision and donated a sum of Rs4800 which was equals to 80% of what she had decided earlier. what is 27% of her monthly income?
a) 13959 b) 11934 c) 14040 d) 13500
11) A student multiplied a number by 4/7 instead of 7/4. What is the percentage error in the calculation ?
a) 206.25 b) 67.35 c) 33.67 d) 103.13
12) A candidate scores 20% and fails by 50 marks, while another candidate who scored 40% marks, get 30 marks more than the minimum required marks to pass the examination. Find the maximum marks for the examination.
a) 500 b) 450 c) 300 d) 400
13) For an examination of a practical based subject, the total marks is 100. The break-up for theory, practical project and viva voce is 40%, 30%, 20% and 10% respectively. A candidate scored 80% in theory, 70% in practical, 60% in project and 50% in viva voce. What was her aggregate percentage ?
a) 70 b) 72 c) 68 d) 67
14) Two students appeared for an examination. One of them secured 21 marks more than the other and his marks were 80% of the sum of their marks. The marks obtained by them are
a) 88 and 67 b) 89 and 68 c) 28 and 7 d) 98 and 77
15) Two students appeared for an examination. One of them secured 13 marks more than the other and his marks were 76% of the sum of their marks. The marks obtained by them are
a) 19 and 6 b) 34 and 21 c) 102 and 89 d) 92 and 79
16) The price of petrol is increased by 24%. A percent wants to increase his expenditure by 14% only. By what percentage (correct to one decimal place) should he decrease his consumption in order to maintain the same level of Expenditure?
a) 8.3 b) 7.9 c) 8.1 d) 7.8
17) The price of sugar got raised by 25%. To maintain the same level of expenses on sugar, a person reduced the consumption of sugar by 4% and also increased his expenditure on Sugar by x%. The value of x is
a) 19.5% b) 21% c) 20% d) 18.75%
18) The price of an article increases by 20% every year. If the difference between the prices at the end of the third and fourth year is Rs259.20, then 40% of the price( in Rupees) at the end of second year is
a) 484 b) 432 c) 384 d) 472
19) Two students A and B appeared for an examination. A secured 8 marks less than B and the marks of the former was 60% of the sum of their marks. The sum of the marks obtained by A and B is
a) 45 b) 50 c) 40 d) 75
20) The sum of the salaries of A and B is Rs42000. A spends 75% of his salary and B spends 90% of his salary. Now their savings are the same. What is A's salary(in Rs)?
a) 18000 b) 12000 c) 30000 d) 15000
21) The ratio of the number of boys and girls in a school is 3 : 2. If 20% of the boys and 25% the girls are scholarship holders, then the percentage of students, who do not get the scholarship, is
a) 78 b) 75 c) 60 d) 55
22) The sum of the salaries of A and B together is Rs43000. A spends 95% of his salary and B , 80% of his salary. If now their are savings are the same. What is B's salary?
a) 8000 b) 34400 c) 10600 d) 8600
23) Sohan spends 23% of an amount of money on an insurance policy, 33% on food , 19% on children's education and 16% on recreation. He deposits the remaining amount of Rs504 in bank. How much total amount does he spend on food and insurance policy together ?
a) 3200 b) 3126 c) 3136 d) 3048
24) With reference to a number greater than one, the difference between itself and its reciprocal is 25% of the sum of itself and its reciprocal. By how much percent (correct one decimal) is the fourth power of the number greater than its square?
a) 57.8 b) 62.5 c) 64.5 d) 66.7
25) For a number, greater than one, the difference between itself and its reciprocal is 20% of the sum of itself and its reciprocal. By how much percentage (nearest to one integer) is the square of the number less than its cube ?
a) 122 b) 18 c) 81 d) 33
26) The population of a town increases by 5% in the first year, by 6% in the second year and 8% in third year. The present population of town is 120204. What you was the population of town in 3 years ago ?
a) 102000 b) 100000 c) 98000 d) 101204
27) In an examination, 20% of total number of students failed in History . 15% of total number of students failed in Hindi and 5% of total number of students failed in both. Find the percentage of students who passed in both the subjects.
a) 50 b) 60 c) 70 d) 80
28) In 2019, ratio of number of students who taking part in examinations x, y and z States is respectively 3 : 5 : 6. Next year, the number of students are increased by 20%, 10% and 20% respectively. If ratio of the number of students in States x and z is 1:2, find the number of students who sit to take part in 2019
a) 5000 b) 6000 c) 75000 d) data inadequate
29) In a constituency, 40% of the voters are senior citizens. 40% of the senior citizen voters are illiterates and 25% of the non-senior citizen voters are literates. By what percentage is the number of literate senior citizens voters less than that of illiterate non-senior citizen voters?
a) 40 b) 145/3 c) 50 d) 140/3
1c 2c 3a 4c 5d 6c 7d 8d 9d 10d 11b 12d 13a 14c 15a 16c 17c 18b 19c 20b 21a 22d 23c 24d 25b 26b 27c 28d 29d
EXERCISE - B
1) Kavita attendance in her school for academic session 2018- 2019 was 216 days. On computing her attendance, it was observed that are attendance was 90%. The total working days of the school were
a) 194 b) 250 c) 240 d) 195
2) If x% of y is150 and y% of z is 300, then the relation between x and z is
a) z= x b) z= x/3 c) z= x/2 d) z==2x
3) A is 20% more than B, B is 25% more than C, C is 60% less than D and D is 20% more than E. Based on the above information, which of the following is true ?
a) D is 60% less than B
b) E is 28% more than A
c) A is 40% less than D
d) C is 24% less than A
4) Anu spent 90% of her income. If her expenditure increases by 25% and savings increases by 30%, then by what percent does her salary increase ?
a) 25.5% b) 24% c) 22.5% d) 20%
5) A number is decreased by 30%, then increased by 30%, then further increased by 30%. What is the net increase/decrease percent in the number (correct to the nearest integer)?
a) 18% increase b) 18% decrease c) 19% decrease d) 19% increase
6) A man spends 72% of his income. If his income increases by 28% and his expenditure increases by 25%, then what is the percentage increase or decrease in his savings (incorrect to one decimal places)?
a) 26.9% decreases b) 38.4% increase c) 35.7% increase d) 26.3% decrease
7) The sum of the salaries of A and B is Rs42000. A spends 75% of his salary and B spends 90% of his salary. Now their savings are the same. What is B' s salary
a) 18000 b) 12600 c) 15000 d) 30000
8) Two students, A and B appeared for an examination. A secured 8 marks more than B and the marks of the former was 55% of the sum of their marks. The sum of the marks obtained by A and B is
a) 100 b) 80 c) 75 d) 90
9) 90% of x= 40% of y and y= a% of x. What is the value of a?
a) 225 b) 125 c) 2.25 d) 1.25
10) If R= 97 and S= 1552, then S is how much percentage more than R ?
a) 60 b) 37.5 c) 58.2 d) 48
11) Rahul's salaries is 40% of Mohit's salary. If Rahul 's salary is increased by 60% and Mohit's salary is decreased by 20%, then Rahul's salary will be how much percentage of Mohit's salary ?
a) 80 b) 100 c) 106 d) 64
12) 29 is 0.8% of
a) 3625 b) 1450 c) 7250 d) 10875
13) If 35% of (x+ y)= 40% of (x - y), then x is what percent of y?
a) 1500 b) 150 c) 15 d) 105
14) if x = 600 and y = 800, then x is how much percentage less than y?
a) 33.33 b) 25 c) 75 d) 35
15) The price of an article is cut by 3%. To restore its original value, the new price must be increased by
a) 3% b) 7.11% c) 3.09% d) 2.69%
16) On decreasing the price of a fan by 40%, Its sales increases by 50%. What will be the percentage increasees or decreases in its revenue?
a) 15% increase b) 15% decrease c) 10% decrease d) 10% increase
17) If in the population of a town there is n increase of 44% in first year and 75% in the second year, then what is the average rate of increase in the population ?
a) 45% b) 59.5% c) 74% d) 76%
18) A student multiplied a number by 5/7 instead of 7/5. What is the percentage error in the calculation ?
a) 48.98% b) 96% c) 24.49% d) 48%
19) Price of 1 kg of sugar is increased by 30% and the increase is Rs48. What is the new price( in Rs) of the sugar per kg?
a) 178 b) 160 c) 208 d) 2016
20) The sum of the salaries of A and B together is Rs45000. A spend 85% of his salary and B, 70% of his salary . Now their savings are the same. What is B's salary
a) 30000 b) 18000 c) 12600 d) 15000
1c 2d 3c 4a 5a 6c 7d 8b 9a 10a 11a 12a 13a 14b 15c 16c 17d 18a 19c 20d
PROFIT , LOSS & DISCOUNT
EXERCISE - A
1) A person purchased a vehicle for Rs590828 and sold it for 652920. What is the profit percent he earned on this vehicle (correct to two decimal places)?
a) 10.51% b) 9.55% c) 9.51% d) 11.5%
2) Selling price of a table is Rs2808. If profit percent is 17%, then what is the cost price(in Rs) of table ?
a) 2288 b) 2300 c) 2400 d) 3285
3) The difference between cost price and selling price is Rs12.54. If loss percentage is 33%, then what is the cost price (in Rs)?
a) 35.44 b) 50.54 c) 41 d) 38
4) if the cost price of an article is 75% of its selling price, then what will be the profit percentage ?
a) 23.47 b) 25 c) 33.33 d) 20
5) cost price of a watch is Rs530. If the loss percentage is 24%, then what is the value of loss ?
a) 127.2 b) 15³.2 c) 139.4 d) 114.2
6) A vendor buys oranges @ 5 for Rs6 and sales at the rate of 2 for Rs3. What will be the result ?
a) 25% loss b) 25% gain c) 20% gain d) 20% loss
7) A shopkeeper by selling 20 Timex watches, earns a profit equals to the selling price of four Timex watches. His profit percentage is
a) 20% b) 25% c) 40% d) 15%
8) The marked price of an article is 10/7 of the cost price and the selling price of that article is 4/5 of the marked price . What is the profit percent .
a) 17.24 b) 16.66 c) 14.28 d) 15.42
9) Selling price of a glass is Rs1965 and loss percentage is 25%. If the selling price is Rs3013, then what will be the profit percent ?
a) 13 b) 10.4 c) 15 d) 20
10) Punit purchases 5 dozen of oranges at the rate of Rs120 per dozen . He sold each one of them at rate of Rs11.5 . What is the profit (in percentage) of Puneet ?
a) 18 b) 30 c) 12 d) 15
11) The ratio of selling price to the cost price is 13:17. What is the loss percentage ?
a) 23.52 b) 27.74 c) 18.62 d) 19.45
12) Two pens are bought at the rate of Rs20 each. Shopkeeper sells one at the profit of 25% and other at the loss of 25%. What will be the total profit or loss on the whole transaction ?
a) no profit/no loss b) profit 1 rupees c) loss 1 rupees d) loss of two rupees
13) A man bought 3 articles for Rs6000 each . He sold the articles respectively at 15% profit , 12% profit and 15% loss. The total percentage profit/loss he earned is
a) 4% profit b) 3% loss c) 10% profit d) 3% profit
14) An article is sold for Rs x. If it is sold at 100/3% of this price, there is a loss of 20%. What is the percentage profit when it is sold for Rs. x ?
a) 140 b) 125 c) 130 d) 120
15) Three articles are bought at Rs200 each. one of them is sold at a loss of 10%. If the other two articles are sold as to gain 20% on the whole transaction, then what is the gain% on the two articles ?
a) 28 b) 32 c) 35 d) 30
16) A trader had 6 quintals of wheat. He sold a part of it at 7% profit and the rest at 17% profit, so that he made a total profit of 11%. How much wheat did he sale at 17% profit
a) 360 kg b) 240 kg c) 120 kg d) 480 kg
17) A rice trader buys 25 quintal of rice for Rs1825, 27% rice is lost in transportation. At what rate should he sale to earn 20% profit ?
a) Rs44.4 per quintal b) Rs120 per quintal c) Rs87.6 per quintal d) 115.8 per quintal
18) Rahul sales a machine for Rs50 lakhs at a loss. Had he sold it for Rs60 lakhs, his gain would have been 7 times the earlier loss. What is the cost price of the machine?
a) 51.25 lakhs b) 58.75 lakh c) 67.14 lakh d) 43.75 lakh
19) A wholesaler sales a watch to a retailer at a gain of 32% and the retailer at a profit of 32% and the retailer sell it to a customer at a loss of 20%, if the customer pays Rs1953.6, what had it cost the wholesaler ?
a) 2063 b) 2394 c) 1850 d) 1637
20) The total cost of a dishwasher with a vacuum cleaner was Rs78750. The vacuum cleaner was sold at a profit of 37% and the dishwasher at a loss of 27%. If the sell price was the same in both the items, then the cost price of the cheaper item was
a) 51375 b) 29375 c) 30750 d) 27375
21) Marked price of an article is Rs3600 and selling price is Rs3132. What is the discount percentage ?
a) 12% b) 13% c) 17.21% d) 14.94%
22) 10% discount is offered on an item. By applying a promo code the customer wins 4% cashback. What is effective discount ?
a) 33.6% b) 30% c) 22% d) 13.6%
23) a man get a discount of 30% and then 20% on his food bill of Rs1250. How much amount does he has to pay ?
a) 700 b) 560 c) 350 d) 500
24) There was 29% off on bags lady. A lady bought a bag and got 12% discount for paying in cash . She paid Rs 312.40. What is the price tag in rupees on the bag
a) 600 b) 625 c) 450 d) 500
25) an article is sold for Rs688.16 after 2 successive discounts of 12% and 8% respectively. What is its marked price ?
a) 800 b) 900 c) 820 d) 850
26) Three successive discounts on the marked price of an article turns out to be equivalent to a single discount of 19%. If the rates of the first and second discount are 10% and 4% respectively, what is the rate of the third discount ?
a) 7.50% b) 5.25% c) 6.25% d) 6.00%
27) The marked price of a helmet is 30% more than its cost price. If the helmet is sold for Rs744 after a discount of Rs36, then what will be the profit percentage?
a) 24 b) 18 c) 21 d) 27
28) Abhishek marks the price of his laptop 60% above the cost price. if he gives a discount of 30% of the marked price, then what is the profit percentage?
a) 30 b) 12 c) 15 d) 14
29) The Marked price of an article is Rs600. After allowing a discount of 25% on the marked price, there was a loss of 30 rupees. The loss percentage is
a) 7.50% b) 7.25% c) 6.25% d) 6.50%
30) The cost price of an article is Rs425, A shopkeeper gives a discount of 20% and still gains 16%. What is the marked price of the article?
a) 605.75 b) 620.50 c) 624.50 d) 616.25
31) Rohit wants to 21% profit on a belt after offering 45% discount. By how much percentage more should he mark the price of his article above the cost price ?
a) 75.45 b) 120 c) 102.5 d) 66
32) A dealer buys an article marked at Rs3000 with two successive discounts of 20% and 5%. He spends Rs1200 on repairs and sells it for Rs30000. What is his profit or loss percent
a) 25% loss b) 25% profit c) 20% profit d) 20% loss
33) At 24% discount the selling price of a washing machine is Rs38000. What is the selling price if the discount is 40% ?
a) 18000 b) 30000 c) 22320 d) 31920
34) Hiten marks his pen at Rs9800 and after allowing discount at 20%, he still earns 12% profit. What is the cost price of the pen?
a) 7600 b) 7200 c) 6500 d) 7000
35) At 13% discount the selling price of an oven is Rs18000, what is the selling price if the discount is 27.5%
a) 10875 b) 12828.75 c) 15000 d) 16638.75
36) When a discount of 25% is given on a wedding gown, the profit is 32%. If the discount is 17%, then the profit is
a) 46.08% b) 49% c) 51.92% d)!43.16%
37) If a Merchant offers a discount of 4% on the list price, then she makes a loss of 10%. What percentage what percentage profit or loss will she make if she sells at a discount of 20% of the list price ?
a) 25% loss b) 4% loss c) 50% profit d) 26% profit
38) Marked price of an item is Rs400. On purchase of 1 item discount is 6% and on purchase of four items discount is 24%. Rachita buys 5 items, What is the effective discount ?
a) 34% b) 24.4% c) 12.8% d) 23.25%
1a 2c 3d 4c 5a 6b 7b 8c 9c 10d 11a 12a 13a 14a 15c 16b 17b 18a 19c 20d 21b 22d 23a 24d 25d 26c 27a 28b 29c 30d 31b 32b 33b 34d 35c 36a 37a 38b
EXERCISE - B
a) 72700 b) 72900 c) 72900 d) 72600
2) List the price of a bike is 15% more than it's cost price. It is sold at a discount of 20%. Find the dealer's loss or profit percent.
a) profit 8% b) profit 9% c) loss 9% d) loss 8%
3) When an article is sold for Rs291, there is a loss of 3%. What will be the selling price of the article, if it is sold at a gain of 8%?
a) 308 b) 332 c) 324 d) 316
4) The total cost of two articles is Rs2000. One of them is sold at a profit of 12% and the other at a loss of 12%. The overall gain in the transaction is 1.2%. The cost price of the article for which there was a profit of
a) 1050 b) 1100 c) 1120 d) 1080
5) A man losses 20% by selling an article for Rs 96. For what amount should he have sold the articles to gain 15% ?
a) 120 b) 115 c) 138 d) 140
6) A man bought three articles for Rs3000 each . He sold the articles respectively at 15% profit , 10% profit and 15% loss. The total percentage profit/loss he earned is
a) no profit no loss b) 10/3% profit c) 10/ 3% loss d) 10% loss
7) A purchased two articles for Rs200 and Rs300 respectively and sold at gain of 5% and 10% respectively. What was his overall gain percentage ?
a) 6 b) 9 c) 5 d) 8
8) After allowing a discount of 10% on the marked price of an article, it is sold for Rs360. Had the discount not been given, the profit would have been 25%. What is the cost price of the article ?
a) 350 b) 360 c) 320 d) 325
9) By selling an article for Rs144, a shopkeeper losses 28%. What should be the selling price for bringing down the loss to 14% ?
a) 156 b) 182 c) 172 d) 180
10) An article is sold for Rs360 after allowing discount of 20% on its Marked price. Had the discount not been allowed , the profit would have been 50%. The cost price of the article is .
a) 320 b) 300 c) 360 d) 350
11) A person purchased a vehicle for Rs489823 and sold it for Rs589828. What is the profit percent he earned on this vehicle (correct to two decimal places)?
a) 25% b) 18.65% c) 20.42% d) 15%
12) Two items are sold for Rs18602 each. On one item there has been a gain of 31% and so on the second item a loss of 29%. What was the overall loss or gain in the transaction ?
a) loss 7.91% b) loss 8.21% c) gain 8.25% d) gain 7.91%
13) By selling an article for Rs2300 Rekha gains 25%. If she sells it for Rs1955, then her loss/gain percentage is
a) loss 6.5% b) gain 6.5% c) gain 6.25% d) loss 6.25%
14) A shopkeeper bought an article for Rs100 and marked its price 25% above the cost price. How much discount percentage should he announce in order to make a profit of 15%?
a) 8.25 b) 8.5 c) 8 d) 10
15) An article is marked at a price which is 1.2 times its cost price. After allowing a certain discount on the marked price, the profit reduces to 10%. The discount percentage is
a) 25/3 b) 9 c) 10 d) 26/3
16) A trader sales wire and gains 60% on the cost price. What will be the profit percentage on selling price ?
a) 33.33 b) 40 c) 37.5 d) 60
17) if two successive discount of 25% and 30% are given, then what will be the ratio of the marked price to selling price ?
a) 20 :7 b) 40 :21 c) 20 :17 d) 40:33
18) The difference between the cost price and selling price is Rs221. If profit percentage 17%. Then what is the selling price.
a) 1079 b) 1300 c) 1521 d) 1724
19) Ramesh marks his articles at Rs6000 and after allowing a discount of 20%, he still earns 60% profit. What is the cost price of the article?
a) 3600 b) 4800 c) 3000 d) 4200
20) Rohit buys a ball for Rs450 and sales it. Rohit gives two successive discount of 20% and 5% to the customer. What will be the selling price of the ball ?
a) 342 b) 354 c) 334 d) 362
21) The marked price of a chair is 40% more than its cost price. If the chair is sold for Rs520 after discount of Rs40, then what will be the profit percentage ?
a) 33 b) 40 c) 25 d) 30
22)A shopkeeper wants to earns 33% profit on an article after offering 30% discount. By how much percentage more he should mark the price of his article above cost price ?
a) 90 b) 63 c) 69 d) 72
23) Daily ticket of a local train cost Rs140 and monthly pass costs Rs3276. If Mohan buys the monthly pass and travel for 30 days in a month, then what amount does he save ?
a) 18% b) 16% c) 15% d) 22%
24) Selling price of a chair is Rs1386. If loss percentage is 23%, then what is the cost price of chair.
a) 1600 b) 1800 c) 1900 d) 1067
25) The difference between the cost price and selling price is Rs576. If the profit percentage is 16%, then what is the cost price?
a) 3024 b) 4176 c) 3600 d) 3800
26) Raj sells a machine for Rs51 lakhs at a loss. Had he sold it for Rs60 lakhs, his gain would have been 8 times the earlier loss. What is the cost price of the machine.
a) 59 lakhs b) 52 lakhs c) 66.375 lakhs d) 45 lakhs
27) A vendor buys chikoos at 15 for Rs8 and then sells at 10 for Rs6. What will be the result ?
a) 12.5% loss b) 11.11% gain c) 12.5% gain d) 11.1% loss
28) A vendor bought 40 dozen of fruits for Rs2400. Out of these, 30 fruits were rotten and thrown away. At what rate per dozen should he sells the remaining fruits to make a profit of 25%?
a) 84 b) 72 c) 90 d) 80
29) Rahul professes to lose 16% on selling sugar and uses a weight of 680gm instead of 1 kg. What is the total profit percentage ?
a) 23.52 b) 16 c) 28.57 d) 19.24
30) Marked price of an article is Rs 520 and selling price is Rs384.8. What is the discount percentage ?
a 24.42 b) 26 c) 35.13 d) 29
31) 20% discount is offered on item. By applying a promo code the customer wins 30% cash back. What is the effective discount
a) 44% b) 30% c) 32% d) 22%
32) A shopkeeper decides to raise the marked price of an article by 10%. How much discount should he allows so as be able to sell the article of the original marked price?
a) 100/11% b) 73/9% c) 19/2% d) 10%
33) if a merchant offers discount of 20% on the list price, then she makes a loss of 16%. What percent profit or percent loss will she make if she sells goods at a discount of 10% of the list price ?
a) 14% profit b) 20% profit c) 50% profit d) 5.5% loss
34) There was 25% off on shirt. A lady bought that shirt and got an additional 20% discount for paying in cash and further 10% discount for being a loyal customer. She paid Rs324. What is the price tag on the shirt
a) 650 b) 725 c) 600 d) 750
1c 2d 3c 4b 5c 6b 7d 8c 9c 10b 11c 12a 13c 14c 15a 16c 17b 18c 19c 20a 21d 22a 23d 24b 25c 26b 27c 28d 29a 30b 31a 32a 33d 34c
PARTNERSHIP
EXERCISE - A
1) Seema, Sonia and Akshita opened shop in partnership with their investments Rs27000, Rs81000 and Rs72000 respectively. Profit was distributed between them at the end of the years. If share of Sonia's is Rs36000 in profit, then total profit was..
a) 80000 b) 98000 c) 108000 d) 116000
2) A and B started a business by investing Rs10400 and Rs14300 in partnership. After 4 months C had joined them by investing Rs9100. If total profit in the end of year was Rs11360, then share of C in profit was
a) 2520 b) 2²40 c) 2660 d) 2100
3) U and V started a business by investing amounts Rs184000 and Rs224000 respectively. If U's share in the profit received at the end of the year is Rs20700, then what will be the total profit earned by them together
a) 43200 b) 45900 c) 52300 d) 56400
4) A, B and C invested Rs26000, Rs34000 and Rs10000 respectively in a business. At the end of the year, they earn a profit of Rs3500. B's share of profit is
a) 1200 b) 1500 c) 1700 d) 1900
5) Rs4800 is distributed among A, B and C in the ratio of 6: 5: 4. The difference in the shares of A and C is
a) 3200 b) 640 c) 500 d) 675
6) A, B, C subscriber Rs50000 for a business. A subscribes Rs4000 more than B and B Rs5000 more than C. Out of the total profit Rs35000, A receives
a) 8400 b) 11900 c) 13600 d) 14700
7) S, T,and U started a business and their capitals are in the ratio of 3:4:6. At the end they receive the profit in the ratio 1: 2 :3. What will be the respective ratio of time period for which they contributed their capitals ?
a) 3:2:2 b) 2:3:3 c) 2:2:3 d) 4:5:3
8) A and B invest in the ratio 3:5. After 6 months , C joins the business investing an amount equals to B's. At the end of the year, what will be the ratio of their profits?
a)6:10:5 b) 3:5:2 c) 8:10:5 d) 3:5:5
9) U starts a business by investing Rs45000 and V joined him after 1 year with an amount of Rs33000. After 2 years from the starting of business, they earned profit of Rs16400. What will be the U's share in the profit?
a) 11200 b) 9600 c) 10000 d) 1200
10) Lokesh starts a business with Rs240000. After 3 months Vishal joins him with Rs210000. At the end of the year what will be the ratio of their profits?
a) 32:21 b) 16: 13 c) 8: 5 d) 45 :39
11) A started a business with the capital of Rs1800. After 4 months, B joined with Rs3600. 6 months after the business started C joined with Rs1200. If the total profit earned at the end of the year is Rs1760, then what is the share of A?
a) 540 b) 660 c) 840 d) 720
12) S, T, and U started a business by besting Rs4200, Rs6300 and Rs8400 respectively. S left the business after 3 months, T left 6 months after the business had started U remained in the business till ine year. At the end of 1 year the total profit is Rs6000. What is the U's share in the profit ?
a) 4200 b) 3200 c) 4200 d) 3600
13) A and B started a business with initial investments in the ratio 12:11 and their annual profits were in the ratio 4:1. If A invested the money for 11 months, B invested the money for
a) 3 months b) 4 months c) 5 months d) 7 months
14) Rohit started a business with Rs75000 and after some months Simran joined him with Rs60000. If the profit in the ratio 3:1, then after how many months did simran join Rohit?
a) 7 b) 6 c) 8 d) 4
15) P and Q invested some money in a business in the ratio of 4:7 respectively. After 6 months P withdraws his capital. If they receive profits in the ratio 4:21, then for how many months did Q invest in the business ?
a) 12 b) 15 c) 18 d) 19
16) Amitabh, Brijesh and Kamlesh enter into a partnership with shares in the ratio 7/2 : 4/3 : 6/5. After 4 months Amitabh increases his share by 50%. If the total profit at the end of the year is Rs 21600, then what will be the share of Brijesh in the profit?
a) 8000 b) 12000 c) 4000 d) 7000
17) Profit of 277200 has divided among three partners Abdullah, Bhanudas and chakor in the ratio 3:6:2 how much year in chakra Gates 500005625200 ABC started business by investing 3:6:2. How much share Chakor gets?
a) 50400 b) 151200 c) 75600 d) 25200
18) A, B and C started a shop by investing Rs36000, Rs81000 and Rs63000 respectively. At the end of one year. B's share of total profit was Rs36000. What was the total profit ?
a) 108000 b) 116000 c) 80000 d) 16200
1b 2c 3b 4d 5b 6a 7d 8a 9b 10c 11a 12a 13c 14c 15a 16c 17a 18b
SIMPLE & COMPOUND INTREST
EXERCISE - A
1) Simple interest on a sum for 6 months at the rate of 5% per annum is Rs65.5. What is the value of sum?
1) A sum of Rs10000 is invested on simple interest at the rate of 5% per annum for 10 years. What is the total interest of the 10 year ?
a) 2600 b) 2620 c) 1320 d) 2880
2) A person borrows some money for 8 years at the rate of simple interest. If the ratio of principal and total interest 5:8, then what is the rate (in percentage) of interest?
a) 10 b) 20 c) 25 d) 30
3) simple interest on a sum of 5 years is equals to 20% of the principal. In how many years interest will be equal to the principal ?
a) 20 b) 25 c) 15 d) 16
4) Deepak land Rs8800 to Jaichand for 13 year and Rs5500 to Kapil for 12 years on simple interest at the same rate of interest and received Rs14432 in all from both of them as interest. The rate of interest per annum is
a) 8.5% b) 9% c) 9.5% d) 8%
5) The simple interest on a sum for 8 years is Rs47500. The rate of interest for the first 5 year is 10% per annum and for the next 3 years is 15%. What is the value of sum?
a) 50000 b) 60000 c) 45000 d) 62500
6) A sum of Rs8000 is divided into two parts. The simple interest on first part at the rate of 21% per annum is equals to the simple interest on second part of the rate of 35% per annum is equal to the simple interest on second part at the rate of 35% per annum. What is the interest of ech part.
a) 1050 b) 840 c) 1400 d) 1220
7) A sum becomes Rs2286 in 3 years and Rs2448 in 4 years at simple interest. What is the rate (in percentage) of intrest per annum?
a) 10 b) 9 c) 8 d) 11
8) A sum of Rs1200 amount to Rs1740 in 3 years at simple interest. If the rate of interest is increased by 3%, then what will be the new amount ?
a) 1848 b) 1946 c) 1812 d) 1924
9) A certain sum was invested on simple interest. The amount to which it had grown in 5 years was 5/4 times the amount to which it had grown in 3 years. The percentage rate of interest was
a) 20 b) 25 c) 33 d) 50
10) A borrowed a sum of Rs3000 from his friends B on 31st December 2007 on the condition that he would return the same after 1 year with simple interest at 15% per annum. However, A gets into a position of returning the sum on 31st August 2008. How much amount had A return to B ?
a) 3330 b) 3200 c) 3310 d) 3305
11) At what rate of compound interest per annum will a sum of Rs50000 becomes Rs73205 in 2 years
a) 21% b) 19% c) 17% d) 15%
12) A sum is invested for 3 years at compound interest at 5%, 10% and 20% respectively. In 3 years, If the sum of the amounts to Rs16632, then find the sum.
a) 11000 b) 12000 c) 13000 d) 14000
13) A sum of Rs2000 becomes Rs3645 in 2 years at a certain rate of compound interest. What will be the sum (in Rs) after 4 years ?
a) 5942.125 b) 6643.0125 c) 7243.0125 d) 7498.125
14) An amount at compound interest doubles itself in 4 years. In how many years will the amount become 8 times itself ?
a) 8 year b) 12 year c) 16 year d) 24 year
15) What is the compound interest on a sum of Rs4096 at 15% per annum for 5/2 year, if the interest is compounded to 10 monthly ?
a) 1726 b) 1736 c) 1636 d) 1763
16) A Bank offer 15% compund intrest per half year. A customer deposits Rs2400 each on 1st January and 1st July of a year. At the end of the year, the amount he would have given by way of interest is
a) 2268 b) 1134 c) 567 d) 283
17) Rs60000 invested at a certain rate for a certain even number of years, compounded annually, grows to Rs63654. To how much amount would it grow if it is invested at the same rate for half the period ?
a) 61800 b) 61809 c) 61675 d) 61827
18) If the amount received at the end of second and third year at compound interest on a certain principle is Rs30250 and 33275 respectively. What is the rate of interest ?
a) 10% b) 5% c) 20% d) 16%
19) compound interest on a certain sum for 2 years at the rate of 11% per annum is Rs1160.5. What will be the simple interest for the same amount at the same rate of interest for 2 years.
a) 9000 b) 1000 c) 1100 d) 1050
20) The compound interest on a certain sum of money at 21% for 2 years is Rs11602.5. Its simple interest at the same rate and for the same period is
a) 10750 b) 16000 c) 12500 d) 10500
21) On a certain principal if the simple interest for 2 years is Rs4800 and compound interest for 2 years is Rs5088, what is the rate of interest ?
a) 6% b) 24% c) 12% d)18%
22) Simple interest on certain sum of money 3 years at 8% per annum is half the compound interest on Rs1600 for 2 years at 10% per annum. The sum placed on simple interest is
a) 14000 b) 3500 c) 7000 d) 5600
23) There is 75% increase in an amount in 5 years at the simple interest. What will be the compound interest of Rs40000 after 2 year at the same rate?
a) 25800 b) 32250 c) 12900 d) 19350
24) The simple interest on a certain sum for 7/2 year at 10% per annum is Rs2940. What will be the compound interest on the same sum for 5/2 year at the same rate when interest is compounded yearly (nearest to a rupees)
a) 2272 b) 2227 c) 2327 d) 2372
25) A sum of 7500 amounts to Rs8748 after 2 year at a certain compound interest rate per annum. What will be the simple interest on the same sum for 23/5 year at double the earlier interest rate ?
a) 4140 b) 5520 c) 8180 d) 2760
26) The compound interest on a certain sum for 3 years at 15% per annum intrest compounding yearly is Rs4167. What is the simple interest on the same sum in 24/5 year at the same rate ?
a) 6144 b) 6000 c) 4800 d) 5760
27) A sum of Rs10000 amounts to Rs11664 in 2 years at a certain rate percent per annum, when the interest is compounded yearly. What will be the simple interest on the same sum for 27/5 at the same rate ?
a) 4320 b) 4160 c) 3840 d) 4040
28) An equal sum is invested in two different schemes. One scheme gives simple interest and the other gives compound interest (annual compounding ). The sum of interest obtained after 2 years from both the schemes is Rs2961. If both schemes have 23% per annum interest rate, then what is the first interest of simple interest scheme.
a) 500 b) 1100 c) 700 d) 900
29) What is the difference between the compound interest, when the interest is compounded 5 monthly and the simple interest on a sum of Rs12000 for 5/4 years at 12% per annum?
a) 90 b) 91.50 c) 93 d) 92.50
30) The difference between simple and compound interests compounded annually on a certain sum of money for 2 year at 9% p.a., annum is Rs 405. The sum is
a) Rs 5000 b) Rs 100000 c) Rs 200000 d) Rs 150000
31) The difference between simple interest and compound interest compounded annually on a certain sum of money for 2 years at 16% per annum is Rs320. What is the value of given sum?
a) 25000 b) 50000 c) 37500 d) 12500
32) The difference between the compound interest and the simple interest on a sum at 10% per annum for 3 years is Rs 155. The sum is
a) 5500 b) 6000 c) 6600 d) 5000
33) A scooty is sold by an automobile agency for Rs19200 cash or for Rs4800 cash down payment together with 5 equal monthly installments. If the rate of interest charged by the company is 12% per annum, then the value of each installment (approximately in Rs) is
a) 3125 b) 2965 c) 2800 d) 2825
34) A sum of Rs11000 was taken as loan. This is to be paid in two equal annual installments . If the rate of interest is 20% compound annually. then the value of each installment is
a) 7500 b) 7000 c) 7100 d) 7200
1b 2b 3b 4d 5a 6a 7b 8a 9a 10a 11a 12b 13b 14b 15b 16b 17a 18a 19c 20d 21c 22c 23c 24a 25b 26d 27a 28c 29b 30a 31d 32d 33b 34d
EXERCISE - B
a) 4000 b) 5000 c) 2500 d) 4500
2) A sum becomes Rs8800 in 4 years at simple interest at the yearly interest rate of 25% per annum. What is the sum?
a) 4400 b) 6600 c) 7040 d) 6400
3) Simple interest on a sum of Rs1400 for 3 years and 4 months is Rs700. What is the rate (in percentage) of interest per annum ?
a) 17 b) 15 c) 18 d) 12
4) The compound interest on a certain sum of money for 2 years at 5% is Rs328, then the sum is
a) 3000 b) 3600 c) 3200 d) 3400
5) At what rate of compound interest per annum will a sum of Rs2000 becomes Rs23328 in 2 years ?
a) 8% b) 16% c) 24% d) 12%
6) Rs10000 is kept at compound interest at the rate of 18% per annum compounding annually. If the compounding of interest is done half yearly, then how much more interest will be obtained ?
a) 243 b) 324 c) 81 d) 162
7) What annual installment will discharge dept of Rs1696 in 4 years at 4% per annum simple interest ?
a) 525 b) 425 c) 325 d) 400
8) In how many years shall Rs3500 invested the rate of 10% simple interest per annum, amount to Rs4500 ?
a) 19/5yr b) 17/7yr c) 18/7yr d) 20/7yr
9) A borrows a sum Rs1000 from his friends B on 31st December 2015 on the condition that he will return the same after 1 year with simple interest at 12%. However , A gets into a position of returning the money on 1 May 2016. How much amount he has to return to B?
a) 1331.5 b) 1045 c) 1120 d) 1040
10) A certain amount invested at a certain rate, compound annually, grows to an amount in 5 years, which is a factor of 1.1881 more than to what it would have grown in 3 years. What is the rate percentage?
a) 9 b) 8.1 c) 8 d) 9.2
11) The difference between compound interest and simple interest on Rs x at 6.5% per annum for 2 years is
a) 7800 b) 7500 c) 8000 d) 8500
12) The compound interest on a certain sum of money at 21% for 2 years is 9282, its simple interest at same rate and for the same period is
a) 8750 b) 8400 c) 8000 d) 8500
13) simple interest on a sum for 8 months at 6% per annum is Rs340. What is the value of sum ?
a) 8500 b) 9500 c) 8000 d) 6800
14) A sum becomes Rs1392 in 2 years and Rs1488 in 3 years at simple interest. What is the rate (in percentage) of interest per annum ?
a) 8 b) 10 c) 12 d) 8.5
15) A person borrows some money for 4 years at the rate of simple interest. If the ratio of principle and total interest is 5:1, then what is the rate of interest?
a) 5 b) 25 c) 10 d) 20
16) A sum of Rs7500 is divided into two parts. The simple interest on first part at the rate of 12% per annum is equal to the simple interest on second part at the rate of 18%. What is the interest on each part of 1 year ?
a) 600 b) 360 c) 480 d) 540
17) An equal sum is invested in two different schemes. One scheme gives simple interest and the other gives compound interest (annual compounding). The total interest obtained after 2 years from both the schemes together is Rs2090. If both the schemes have 18% per annum interest rate, then what is the first year interest scheme?
a) 1000 b) 500 c) 545 d) 1045
1b 2a 3b 4c 5a 6c 7d 8d 9d 10a 11c 12b 13a 14a 15a 16d 17b
MIXTURE AND ALLIGATION
EXERCISE - A
1) In What ratio salt costing Rs13 per kg mixed with another salt costing Rs7 per kg to get a mixture costing Rs9 per kg
a) 4:7 b) 3:5 c) 2:3 d) 1 :2
2) Two mixtures have milk and water in the ratio 1: 4 and 3:2 respectively. In what ratio two types of mixture have to be mixed to get a new mixture having ratio of milk and water as 1:1 ?
a) 4:3 b) 5 :3 c) 3: 2 d) 1:3
3) In a mixture of milk and water, there is 19% milk. If the quantity of milk in the mixture of 437ml, then what is the total quantity (in millimetres) of mixture?
a) 2300 b) 2200 c) 2100 d) 2400
4) How much water must be added to a bucket which contains 40 litera of milk at the cost price of Rs3.50 per litre, so that the cost of milk reduces to Rs2 per litre ?
a) 25 b) 28 c) 30 d) 35
5) A confectioner sells the milk after mixing some water in it at the same rate at which he bought. If he gains 25% on his way, the quantity of water mixed with per litre of milk is
a) 0.25 b) 2.5 c) 1.5 d) 0.35
6) In what proportion must water be added to spirit to gain 20% by selling it at the cost price ?
a) 2:5 b) 1:5 c) 3:5 d) 4:5
7) In what ratio sugar of Rs38 per kg and Rs30 per kg and be mixed with each other so that on selling mixture at Rs 35.2 per kg there will be a gain of 10%?
a) 1:3 b) 3:7 c) 13:7 d) 9:4
8) In a mixture of 35L, the ratio of milk and water is 4:1. If 7 L of water is added to mixture, then the new ratio will be
a) 2:1 b) 1:2 c) 3:2 d) 2:3
9) A container has 84 L of mixture consisting of milk and water in the ratio 5:2. To make this ratio 2:1, the quantity of more water required to be added will be
a) 2 litre b) 4 c) 6 d) 8
10) A veriety of rice at Rs14 per kg is mixed to Rs15 kg of another variety rice at Rs20 per kg, so as to make a mixture worth Rs 16.50 per kg. The quantity of a rice at Rs14 per kg must be
a) 5 kg b) 7 kg c) 15kg d) 21 kg
11) The milk and water in two vessels are in the ratio 3:1 and 7 : 11, respectively. In what ratio should the liquid in both the vessels be mixed to obtain a new mixture containing half milk and half water?
a) 5:7 b) 4:9 c) 1:1 d) 4:7
12) two vessels of equal capacity contains juice and water in the ratio 5 :1 and 5:7 respectively. The mixture of both the vessels are mixed and transferred in to a bigger vessel. What is the ratio of juice and water in the new mixture?
a) 3: 2 b) 5:3 c) 5:4 d) 1:2
13) A and B are two alloys of gold and copper prepared by mixing metals in the ratio 7:2 and 7:11 respectively. If equal quantities of the alloys are melted to form a third alloys C, the ratio of gold and copper in C will be
a) 5:7 b) 5 :9 c) 7 :5 d) 9 :5
14) A milkman has two types of milk. In one, the percentage of water is 10 and in the second the percentage of water is 20. If he takes 90 litre milk of type I and 60L of milk of type II and prepares a new mixture, the percentage of water in this new mixture is
a) 12% b) 14% c) 15% d) 19%
15) The ratio of milk and water in 3 samples is 1:3, 3:5 and 11:5. A mixture containing equal quantities of all three samples is made. What will be the ratio of milk and water in the new mixture?
a) 7:9 b) 5:7 c) 15:13 d) 9:11
16) The alcohol and water in a mixture are in the ratio 7:8 respectively. If 11 litre water is added to it, then the ratio of alcohol and water in the new mixture becomes 3: 5. What is the total quantity( in litres) of the alcohol in the new mixture ?
a) 21 b) 24 c) 35 d) 32
17) A milkman uses three containers for the selling milk , their capacities being 40L, 30L and 20L respectively. He fills respectively 87.5%, 80% and 90% of the container with the mix of milk and water in the ratio 3:2, 5:1 and 7:2 respectively. What is the ratio of the total quantity of milk to that of water carried by him ?
a) 7:2 b) 31:12 c) 35: 9 d) 5:2
18) In what ratio must a mixture of 20% milk be mixed with that of 60% milk strength so as to get a new mixture 25% milk strength?
a) 7:1 b) 4 :1 c) 5 :2 d) 9:2
19) 20kg of a mixture of wheat and husk contains 5% husk . How many kilograms more of husk must be added to make the husk content 20% in the new mixture ?
a) 2.75 b) 3.75 c) 4. 75 d) 5.75
20) In an alloy aluminium and tin are in the ratio of 4:5. In the second alloy, the ratio of same elements is 4:7. If equal quantities of these two alloys the mixed to form a new alloy, then what will be the ratio of both of the pae elements in the new allloy?
a) 2:3 b) 16:35 c) 4:5 d) 40:59
21)
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