MIXTURE
+ + ** ++
1) One vessel A contains mixture of milk and water in the Proportion 4:5 and in another vessel B they are mixed in the Proportion 5:1. In what Proportion should quantities be taken from the two vessels so as to form a mixture in which milk and water will be in the Proportion of 5:4.
2) A cask is completely filled with spirit. Four litres are drawn off and four litres of water is added. The operation is repeated for second time. If now the ratio of spirit and water in the cask is 4:5, find the capacity of the cask.
3) A mixture of 30 litres contains milk and water in the ratio of 7:3; how much water must be added to the mixture so that the ratio of milk to water may be 3:7.
4) A mixture of 30 litres contains milk and water in the ratio 7:3. How much mixture must be replaced by water to make the
ratio 3:7
5) Water and milk are mixed in the ratio 2:7 in one vessel and in the ratio 2:9 in another vessel. Determine the volume of the mixture in the second vessel that should be mixed with 225c.c. of the mixture in the first vessel to form a new mixture containing milk and water in the ratio 4:1.
6) Two mixture contains milk and honey with ratios of 7:2 and 5:1. In what ratio these two mixtures should be mixed so that the resulting mixture may contain milk and honey in the ratio 9:2.
7) Two vessels contain mixture of milk and water in the Proportion 2:3 and 4:3 respectively. In what Proportion should these two mixtures be mixed so as to form a new mixture containing equal proportions of milk and water.
8) Three equal glasses are filled with mixture of spirit and water, the Proportion of spirit to water being as 3:1, 5:3, 9:7. The context of three glasses are poured into a bigger vessel. What is the Proportion of spirit and water in the final mixture.
9) Two varieties rice at ₹10 per kg and ₹12 per kg are mixed together in the ratio 1:2. Find the average price of resulting mixture.
A) 10.33 B) 11.33 C) 12 D) 13.33 E) n
10) On combining two groups of students having 30 and 40 marks respectively in an exam, the resultant group has an average score of 34. Find the ratio of the number of students in the first group to the number of students in the second group.
A) 2/3 B) 3/2 C) 3/4 D) 4/3 E) n
11) On mixing 2 classes of students having average marks 25 and 40 respectively, the overall average obtained is 30 marks. find
i) the ratio of student in the classes.
A) 1:2 B) 2:1 C) 3:2 D) 2:3 E) n
ii) the number of students in the first class if the second class had 30 students.
A) 30 B) 50 C) 60 D) 80 E) n
12) 4 kg rice at ₹5 per kg is mixed with 8kg of rice at ₹6 per kg. Find the average price of the mixture.
A) ₹5 B) 5.66₹ C) ₹ 6 D) ₹ 6.32 E) n
13) 5kg of rice at₹6 per kg is mixed with 4 kg of rice to get a mixture costing ₹7 per kg. Find the price of the costlier rice.
A) ₹6.25 B) ₹7.25 C) ₹8.25 D) ₹ 9.25 E) n
14) On mixing two classes of students having average marks 25 and 40 respectively, the overall average obtained is 30 marks. Find
i) the ratio in which the classes were mixed.
A) 2:1 B) 3:1 C) 1:2 D) 1:3 E) none
ii) the number of students in the first class if the second class had 30 students.
A) 50 B) 60 C) 79 D) 80 E) n
15) 4kg of rice at₹5 per kg is mixed with 8 kg of rice at ₹6 per kg. Find the average price of the mixture.
A) 5.66 B) 5 C) 6.66 D) 7.66 E) n
16) 5 kg price at ₹6 per kg is mixed with 4 kg of rice to get a mixture coting ₹7 per kg. Find the price of the costlier rice.
A) 6.25 B) 7.25 C) 8.25 D) 9 D) n
17) a man buys 40 kg of rice at ₹20/kg and 60 kg of rice at ₹30/kg. Find the average price.
A) 23/kg B) 25/kg C) 26/kg D) 27/kg E) n
18) Pradeep mixes two mixtures of milk and water. He mixes 40 litres of the first containing 20% water and 60 litres of the second containing 30% water. Find the percentage of water in the final mixture.
A) 24% B) 25% C) 26% D) 27% E) n
19) Two classes are combined to form a larger class. The first class having 40 students scored an average of 20 marks on a test while the second having 60 students scored an average of 30 marks on the same test. What was the average score of the combined class on the test.
A) 24 B) 25 C) 26 D) 27 E) n
20) A trader earns a profit of 20% on 40% of his goods sold, while he earns a profit of 30% on 60% of his goods sold. Find his percentage profit on the whole.
A) 24 B) 25 C) 26 D) 27 E) n
21) A car travels 20 km/h for 40 minutes and 30 km/h for 60 minutes. Find the average speed of the car for the journey.
A) 24 B) 25 C) 26 D) 27 E) n
22) 40% of the revenues of a school came from the junior classes while 60% of the revenues of the school came from the senior classes. If the school raises its fees by 20% for the junior classes and by 30% for the senior classes, find the percentage increase in the revenues of the school.
A) 24 B) 25 C) 26 D) 27 E) n
23) A merchant Mixes 3kgs of tea costing ₹50 per kg and 5kgs of another variety costing ₹34 per kg. At what price per kg should sell the mixture so as to make a profit of 10% on the cost price?
A) 34 B) 44 C) 54 D) 64 E) n
24) If 5 kg of salt consisting of 5/kg and 3 kg of salt consting ₹ 4/kg are mixed, find the average cost of the mixture per kilogram.
A)₹ 4.5 B) ₹4.625 C) ₹4.75 D) ₹ 4.125 E) ₹4.25
25) A vessel A contains milk and water in the ratio 4:5 and the vessel B contains the same in the ratio 5:1. In what proportion should the quantities to be taken from A and B to form a mixture in which milk and water are in the ratio of 5:4 ?
A)5:2 B) 2:5 C) 3:5 D) 5:3 E) n
26) Two types of oils having the rates of ₹4/kg and ₹5/kg respectively are mixed in order to produce a mixture having the rate of ₹4.60/kg. What should be the amount of the second type of oil if the amount of the first type of the oil in the mixture is 40 kg
A)75kg B) 50kg C) 60kg D) 40kg E) n
27) A container has a capacity of 80 litres and is full of milk, 5 litres of milk is taken out of it and the container is filled with water. This process is repeated 4 times. How much milk is left in the container?
A) 61.8 B) 62.5 C) 72.3 D) 83.5 E) n
28) how many kilograms of sugar worth ₹ 3.60 per kg should be mixed with 8 kg of sugar worth ₹4.20 per kg. such that by selling the mixture at ₹4.40 per kg, there may be a gain of 10%
A) 6 B) 3 C) 2 D) 5 E) 4kg
29) A mixture of 125 gallons of wine and water contains 20% water. How much water must be added to the mixture in order to increase the percentage of water to 25% of the new mixture?
A) 10gals B) 8.5gals C) 8gals D) 6.66gals E) 8.33gals
30) Ram lends ₹3600 on simple interest to Harsh for a period of 5 years. He lends a part of the amount at 4% interest and the rest at 6% and receives ₹960 as the amount of interest. How much money did he lend on 4% intrest rate?
A) 2800 B) 2100 C) 2400 D) 1200 E) 1000
31) A mixture of 40 litres of milk and water cont610% water. How much water must be added to make 20% in the new mixture.
A) 3 B) 5 D) 7 D) 10 E) n
32) 400 students took the exam. 60% of the boys and 80% of the girls cleared the cut off in the examination. If the total percentage of student qualifying is 65%, how many girls appeared in the examination
A)100 B) 120 C)150 D) 300 E) 175
33) A man purchased a cow and a calf for ₹1300. He sold the calf at a profit of 20% in the cow at the profit of 25%, in this way, his total profit was 300/13% . Find the cost price of the cow.
A) 1100 B) 600 C) 500 D) 400 E) 800
33) The average salary per head of all employees of a company is ₹600. The average salary of 120 officers is₹4000. If the average salary per head of the rest of employees is ₹ 560, find the total number of workers in the company.
A) 1020 B) 1032 C) 1050 D) 1068 E) 1080
34) In what ratio should silver at ₹5 per gram be mixed with silver at ₹4.75 per gram to obtain a mixed variety of silver worth ₹4.92 per gram?
A) 8:1 B) 8:23 C) 8:15 D) 8:17 E) n
35) In what ratio must water be added to the milk to gain 25/2% by selling the diluted milk at the cost price?
A) 1:8 B) 8:1 C) 2:3 D) 4:5 E) 5:6
36) A dishonest milkman purchased milk at 10 per litre and mixed of water in it. By selling the mixture at the rate of ₹10 per litre earns profit of 25%. The quantity of the amount of the mixture that he had was?
A) 15 B) 20 C) 25 D) 30 E) n
37) A cistern contains 50 litres of water. 5 litres of water is taken out of it and replaced by wine. the process is repeated again. Find the proportion of wine and water in the resulting mixture
A) 1:4 B) 41:50 C) 19: 81 D) 81:19 E) 50:41
38) A container has a capacity of 20 gallons and is full of spirit. 4 gallons of spirit is drawn and the container is again filled with water. this process is repeated 5 times. Find out how much spirit is left in the resulting mixture finally
A) 257 B) 6257 C) 564 D) 2130 E) n
39) A vessel is full of refined oil. 1/4 of the refined oil is taken out and the vessel is filled with mustard oil. If the process is repeated 4 times and 10 litres of refined oil is finally left in the vessel, what is the capacity of the vessel?
A) 33 B) 2460/81 C) 2560/81 D) 30 E) n
40) how many kilograms of sugar worth ₹6.50 per kg must be mixed with 80kg of sugar worth ₹8.00 per kg so that the mixture is worth ₹7.50 per kg
A) 40 B) 60 C) 80 D) 100 E) n
41) A sum of ₹39 was divided among 45 boys and girls. Each girls gets 50 paise,.whereas a boy gets one rupee. Find the number of boys and girls.
A) 12,33 B) 33,12 C) 15, 60 D) 60,15 E) n
42) In what ratio should qualities of coffee powder having the rates of ₹47 per kg and ₹ 32 per kg be mixed in order to get a mixture that would have a rate of 37 per kg
A) 1: 2 B) 2:1 C) 1:3 D) 3:1 E) 4:1
43) An alloy of two metals weighing 18gms is worth ₹87 but if their composition weights be interchanged, it would worth ₹78.60. if the price of one metal be ₹6.70 per gm. Find the weight of the other metal in the mixture.
A) 8 B) 10 C) 22 D) 15 E) n
44) A butler stole wine from a butt of sherry which contained 32% spirit and then replaced what he stole by wine containing 18% spirit. The butt was then of 24% strength only. How much butt did he steal ?
A) 4/7 B) 3/7 C) 2/7 D) 6 D) n
45) In what ratio should water be mixed with soda costing ₹12 per litres so as to make a profit of 25% by selling the dilute liquid at 13.75 per litre ?
A) 10:1 B) 11:1 C) 1:11 D) 12:1 E) 1:12
46) A sum of ₹36.90 is made up of 90 coins that are either 20 paise coins or 50 paise coins. Find out how many 20 paise coins are there in the total amount ?
A) 47 B) 43 C) 27 D) 63 E) 70
47) A dishonest grocer professes to sale pure butter at cost price but he mixes it with adulterated fat and thereby gains 25%. Find the percentage of adulterated fat in the mixture assuming that adulterated fat is really available.
A) 20% B) 25% C) 33.33% D) 40% E) 35%
48) A mixture of 70 litres of alcohol and water contains 10% of water. How much water must be added to the above mixture to make the water 12.5% of the resulting mixture ?
A)1 lt. B) 1.5 litres C) 2 lt D) 2.5 lt E) 3 lt
49) A mixture of 20 litres of brandy and water content 10% water. How much water should be added to it to increase the percentage of water 25% ?
A) 2lt B) 3lt C) 2.5lt D) 4lt E) 5 lt
50) A merchant purchased two qualities a pulse rate of 200 per quintal and ₹ 260 per quintal. In 52 quintal of the second quality, how much pulse of first quality should be mixed so that by selling the resulting mixture at ₹300 per quintal, he gains a profit of 25%?
A) 100 B) 104 C) 26 D) none
51) A man buys milk at 8.5 per litre and dilutes it with water. He sells the mixture at the same rate and thus gains 11.11%. Find the quantity of water mixed by him in every litres of milk.
A)0.111 lt B) 0.909 lt C) 0.1 lt D)0.125 lt
52) There are two mixtures of honey and water the quantity of honey in them being 25% and 75% of the mixture. If two gallons of the first are mixed with three gallons of the second, what will be the ratio honey to water in the new mixture?
A) 11:2 B) 11: 9 C) 9:11 D) 2:11
53) There are two kinds of alloys of tin and copper. The first alloy contains tin and copper such that 93.33% of it is tin. In the second alloy there is 86.66% tin. What weight of the first alloy should be mixed some weight of the second alloy so to make a 50 kg of mass contains 90% of tin?
A) 15kg b) 30kg c) 20 kg d) 25kg
54) Two containers of equal capacity are full of mixture of oil and water. In the first, the ratio of oil to water is 4:7 and in the second it is 7:11. Now both the mixture and mixed in a bigger container. What is the resulting ratio of oil to water?
A) 149:247 B) 247:149 C) 143: 241 D) 241:143
55) Two vessels contain spirit and water mixed respectively in the ratio 1:3 and 3:5. Find the ratio in which these are to be mixed to get a new mixture in which the ratio of spirit to water is 1:2.
A) 2:1 B) 3:1 c) 1:2 d) 1:3
56) The price of pen and a pencil is ₹35. The pen was sold at a 20% profit and the Pencil at a 10% loss. If in the transaction a man gains ₹4, how much is cost price of the pen ?
A) 10 b) 25 c) 20 D) none
57) A person purchased a cupboard and a cot for ₹18000. He sold the cupboard at a profit of 20% and the cot at a profit of 30%. If his Total profit was 25.833%, find the cost price of the cupboard.
A) 10500 B) 12000 c) 7500 d) 10000
58) A vessel is of a mixture of kerosene and petrol in which there is 18% kerosene. 8 liters are drawn off and then the vessel is filled with petrol. If the kerosene is now 15%, how much does the vessel hold ?
A) 40 litres b) 32 c) 36 litres d) 48
59) two solutions of 90% 97% purity are mixed resulting in 21 l of mixture of 94% of purity. how much is the quantity of the first solution in the resulting mixture?
A) 15 litres b) 12 litres c) 9 liter d) 6
60) in the Singapore zoo, there are deers and there are ducks. If the heads are counted, there are 180, while the legs are 448. What will be the number of deers in the zoo?
A) 136 b) 68 c) 44 d) 22
61) A bonus of ₹985000 was divided among 300 workers of factory. Each male worker get 5000 rupees and each family workers gets 2500 rupees. Find the number of male workers in the factory.
A) 253 b) 47 c) 94 d) 206
62) What will be the ratio of petrol and kerosene in the final solution formed by mixing petrol and kerosene that are present in 3 vessels in the ratio 4:1, 5:2, 6:1 respectively?
A) 166 :22 b) 83 :22 c) 83 :44 d) n
63) A mixture worth ₹ 3.25 a kg is formed by mixing two types of flour, 1 costing of ₹ 3.1 0 per kg while the other ₹3.60 per kg, In what proportion must they have been mixed ?
A) 3:7 b) 7:10 c) 10:3 d) 7:3
64) A gain percentage of 20 is made by selling a mixture of two types of ghee at ₹480 per kg. If the type costing 610 per kg was mixed with 126 kg of the other, how many kilograms of the former was mixed?
A)139 B) 34.5 c) 69 d) cannot be determined
65) In what proportion must water be mixed with milk so as to gain 20% by selling the mixture at the cost price of the milk ?(assume that water is free available)
A) 1:4 b) 1:5 c) 1:6 d) 1:12
66) A bartender stole champagne from a bottle that contained 50% of spirit and he replaced what he had stolen with champagne having 20% spirit . The bottle then contained only 25% spirit. How much of the bottle did he steal?
A) 80% b) 83.3 c) 85.71% d) 88.88%
67) A bag contains a total 105 coins of ₹1.50p and 25p to denominations. Find the total number of coins of ₹one if there are a total of 50.5 rupees in the bag and it is known that the number of 25 paise coins are 133.33% more than the number of 1 rupees coins.
A) 56 b) 25 c) 24 d) none
68) A man possessing ₹6800, lent a part of it at 10% simple interest and the remaining at 7.5% simple interest. His total income after 7/2 years was ₹ 1904. Find the sum lent at 10% rates.
A) 1260 b) 1700 C) 1360 d) none
69) A man decides to travel 80 kilometres in 8 hours partly by foot and partly on a bicycle, his speed on foot being 8 km/hr and that on bicycle being 16 km/hr. What distance would he travel on foot?
A) 20 b) 30 c) 48 d) 60
70) Two vessels contain a mixture of spirit and water. In the first vessel the ratio of spirit to water is 8:3 and in the second vessel the ratio is 5:1. A 35 litres cask is filled from these vessels so as to contain a mixture of spirit and water in the ratio 4:1. How many litres are taken from the first vessel ?
A) 11 b) 22 c) 16.5 d) 17.5
71) Rakshit bird 19 eraser for rupees 1025 more for each wise Razer them for each brownie razor what could be the price of a white eraser and how many white eraser producer he have but 65 865 12:55 855 10 after paying all your beans you find that you have Rupees 7.20 in your pocket you are equal number of 55 and 10 piece coins but no other coins no rainy other currency notes how many coins do you have 82427 30 Suresh Kumar went to the market with rupees 100 if he buy 3 pens and 6 pencil heuses of all his money on the other any few by three pencils and 6 would fall sort by 20% if you wants to buy equal number Parde work questions what is the amount of money he would save if you had to buy 3 pegs and 3 pencils 50 25 7540 Abdul goes to the market to buy bananas if he can burger in the price but doesn't by 2 he can buy 3 doesn't banana Institute of two doesn't with the money has how much money does he have Rupees 612 1824 inches 3 bananas and 4 apples cost 153 bananas and three apples how much did I pay 10 8:15 cannot be determine John Word 5 mangoes in orange together rupees 1234 00 km about school is to be built for hundred students up down B and 30 students up down A the expenditure on transport age 1.2 0 per kilometre per person if the total expenditure and transport by all 13 students is to be at the small as possible then the school should be built at 33 km from Townhall 33 km from town B Town a town b person who has certain amount with he he goes to the market you can buy 50 oranges are 40 mangoes heritance 10% of the amount for taxi fare and by 20 mangoes and the banana balance the Purchase oranges number of oranges chicken purchase 36 40 15 20 72 hands cost Rupees 96.7 then what does each hand cost were the number at or not divisible or written in illegal hand 3.435.31516.2 class this students are divided into three groups A B and C of 1525 students is the group D what is the average weight of the student in group D more than the average weight of a more than the average weight of she less than the average weight of C cannot be determine student from group B which of the following will be true the average weight of the both groups increases average decreases the average weight of the class remains the same cannot be to my all the students of the class the total weight of P and seastwise the total wet a b the average weight of these greater than the average weight of a the average weight of all the groups remains the same even if a number of students are shifted from one group two another the bridge marks of student in 10 papers are 80 if the highest and the lowest score are not considered the average is 81 it is highest score in 92 and find the lowest 55 662 cannot be to mind a shipping clerk has five boxes of different but unknown weights each wedding less than 100 kg the clockwid in the boxes in pair the words obtain are 102 and 13 10718 120 and 121 kg what is the weight of the having heaviest box 6062 64 cannot be determine the total expenses of a boarding house are partly fix and partly brain linearly with the number of borrowed the average expenses for border is 700 when there are 25 words and Rs 600 when there are 50 border what is the average expense for border when they are 100 border 5:5585 45 70 yearly payment to a servant is 90 + 1 Turban the servant leaves the job after 9 months and receive is 65 and the term then find the price of the turbo 10 15 7.5 0 cannot be determine a leather factory locks the profit margin is 20 on a standard bag and rupees 30 on a Deluxe bag every bag time required hours bags machinen machinery standard back 46 Deluxe 500 10 the total time available on machine A700 hours non machine beast 1250 hours among the following products plans which one made the machine availability constants and maximum the profit standard 75 best Deluxe 80 bags standard 10050 algebra test the average score of class 10 is 83 the average class score of class Y 76 the average score of class Jet is 85 what is the average score of class 6yz at 1.58.583 cannot be determine the order 4 and some additional Park Avenue shirts the price the order was executed it was found that the number of the two brands have been interchange this increase the bill by 40% the ratio of the number of Arrow shirts to the number of Arc Avenue shirts in the original order was 13 14 12 15 3 groups of companies data Birla and Reliance announces the average of the annual profit for all your sins there establishment the average profit of Tata is 75000 the average profit of Billa is 64000 the average profit of Reliance is 73000 the average profit of all results of Tata and Birla together is 70000 the average profit award is a bitland Reliance together 9000 aproximately what is the average profit for all the three groups 7000086
No comments:
Post a Comment