1) Find the compound amount and the compound interest of ₹4000 invested for 7 years at 6% compounded annually.
A) 6014.52, 2014.52
B) 5014, 1014
C) 7296, 3296. D) none
2) Find the amount if ₹1800 is invested at 5% compounded semi annually for 8 years. also determine the C. I
A) 2672.10, 800.10
B) 2672.10, 872.10
C) 2600, 800. D) none
3) if ₹1000 is invested at annual rate of interest of 15%, what is the amount after 5 years if the compounding takes place monthly.
A) 2100. B) 2110
C) 2107.18. D) 2701.81
4) To what amount will ₹10,000 accumulate in 6 years if invested at 8% compounded quarterly?
A) 16000. B) 16084.30
C) 15084 D) 16018.03
5) if ₹1000 is invested at an annual rate of 9% compounded continuously. find the amount at the end of 6 years.
A) 1616 B) 1617 C)1715 D) 1716
6) if ₹2000 is deposited in a savings account that earns interest at an annual rate of 6% compounded continuously, what is the value of the account at the end of 3 years?
A) 2390 B) 2390.91
C) 2394.40 D) 2300.40
7) A person deposits ₹4000 in a bank, which pays an interest of 5% per annum compounded continuously. How much amount will be in his account after 4 years ?
A) 4800 B) 4885.60
C) 4785.80. D) 4588.06
8) How long will it take for ₹5000 to amount ₹7,000 if it is invested at 8% compounded quarterly ?
A) 4.5. B) 5. C) 4.25. D 5.5 yrs.
9) How long will it take for a principal to double if money is worth 12% compounded monthly
A) 5.84 B) 5. C) 7.5 D) 5.5 yrs
10) Approximately how long will it take to triple an investment at 10% compounded annually ?
A) 16.5 B)15 C) 11.5 D)15.5 yrs
11) At what annual rate of interest, compounded yearly, will money double in 8 years ?
A) 6.5% B) 7.5% C) 8.5% D) 9%
12) How long will it take for ₹4000 to amount to ₹7000 if it is invested at 7% compounded continuously ?
A) 6 B) 5 C) 7. D) 8 yrs
13) How long will it take for a principled double money if money is worth 6% compounded continuously?
A) 16.5 B)15 C) 11.5 D) 14.5yrs
14) A person deposited ₹1000 in a bank at 5% compounded annually after 5 years, the rate of interest was increased to 6% and after 4 more years, the rate was further increased to 7%. The money was withdrawn at the end of 12 years. find the amount.
A) 1973.86. B) 1937.86
C) 1930.59. D) 1903.95
15) find the amount of ₹2000 after 10 years at 8% converted quarterly for the first 4 years and at 6% converted monthly there after.
A) 3978.31. B) 3931.78
C) 3391.87. D) 3900.78
16) Find the amount of ₹5000 after 8 years if invested at 6% compounded semi annually for the first two years, at 8% compounded quarterly for the next 3 years. and at 7% compounded continuously thereafter.
A) 8808.49. B) 8840.94
C) 8480.79. D) 8804.94
17) A person deposited ₹4000 in a bank at 6% compounded continuously, after 3 years, the rate of interest was increased to 7% and after 5 more years, the rate was further increased to 8%. the money was withdrawn at the end of 10 years. find the amount.
A) 7947.58. B) 7794.85
C) 7974.85. D) 7900.85
18) find the effective rate that is equivalent to a nominal rate of 12% compounded monthly.
A)12 % B)11.68% C)12.68% D)13%
19) A money-lender charges interest at the rate of 10 rupees per 100 rupees per half-year, payable in advance. what effective rate of interest does he charge per annum ?
A) 26.5% B) 25%
C) 23.5% D) 25.5%
20) To what sum will ₹6000 accumulate in 8 years if invested at an effective rate of 8% ?
A) 11005.40. B) 11000
C) 10105.40. D) 11005.40
21) how many years will it take for money to double at the effective rate of 6% ?
A) 12. B) 15. C) 11.9. D) 12.3
22) find the compound interest when principal is ₹3000, rate of interest is 5% per annum in two years.
A) 307 B) 300
C) 307.50 D) 290.85
23) calculate the compound interest that Ramsukhlal will get by investing ₹1000 for 3 years at the rate of 10% per annum.
A) 500 B) 300. C) 231. D) 331
24) Find the compound interest on ₹1000 for 4 years at 5% p.a
A)225. B) 215. C)200. D) 315
25) calculate the amount of principal is ₹8000, compound interest rate is 15% per annum after 3 years.
A) 12500. B) 12100
C)12167. D) 11167
26) If ₹1000 is invested for 10 years at 10% compound interest calculated annually ____ will be the amount that would be received.
A) 2500 B)3594 C)2894 D)2594
27) find the compound interest on ₹1000 for 5 years at 10% per annum. how much is it more than simple interest?
A) 600 , 100. B) 610, 110
C) 610.60, 110.60 D) none
28) Compute the compound interest on ₹8000 for 1 years at rate of 12.5% per annum compounded annually.
A) 500 B) 800 C) 1100 D) 1000
29) Find the amount that Shreya would receive if she invests ₹4096 for 18 months at 12.5% per annum, the interest being compounded half-yearly.
A) 4500 B)5000 C)4813 D)4913
30) Find the amount and the compound interest to when P=₹2000, R=8% CI per annum, n=1 year and interest is payable quarterly.
A) 2164.86, 164.86
B) 2264.86, 264.86
C) 2160.86, 160.86. D) none
31) Find the compound interest on ₹6950 for 3 years if interest is payable half-yearly, the rate of the first two years being 6% per annum.
A)1500 B)1600 C)1580 D)1589
32) The difference between simple interest and the compound interest on ₹60 for 1 year at 10% per annum, reckoned half yearly
A) ₹2 B) ₹1. C) ₹1.50. D) ₹2.50
33) when a girl is born, ₹500 is placed to her credit in an account that pays at the rate of 6% compounded monthly. If the account is not disturbed, what amount will there be to her credit on her twentieth birthday ?
A)1500 B) 1626 C) 1699 D)1659
34) in the previous question, if the interest is compounded quarterly, then the amount on her twentieth birthday will be
A) 1600 B)1626 C)1,699 D)1659
35) find the effective rate equivalent to the nominal rate of 8% converted quarterly.
A) 8%. B)8.14%. C)8.24% D) 8.5%
36) What is effective rate of interest corresponding to the rate of 10 % per annum, if interest is compounded half yearly.
A) 10.25% B) 10.50%
C) 10.00% D) 10.15%
37) Find the compound interest and effective rate of interest if an amount of ₹10000 is deposited in a bank for 1 year at the rate of 8% per annum compounded semi annually.
A) ₹816, 8.16% B) 854, 8.54%
C) ₹816, 8.54% D) ₹895, 8.95%
38) which is better investment?
a. 9% p.a compounded quarterly
b) 9.1 % per year simple interest
A) option b B) option a
C) either A or B. D) none
39) which yield more interest ?
a) 7.8% compounded semiannually
b) 8% compounded quarterly
A) option b B) option a
C) both with the same interest
D) none of the above.
40) The present population of a town is 8000. If it increases at the rate of 5% per annum, what will be its population after 3 years.
A)9000 B)9200 C) 9261 D)9276
41) The population of a town is 20000. If the annual birth rate is 4% and annual death rate is 2%, the population after 2 years is:
A) 20000 B) 21000
C) 20808 D) 21808
42) the population of a city in year 2003 was 424000. What will its population in 2005. if it increases 5% per year ?
A) 4678600. B) 467460
C) 459870. D) 462890
43) The population of a city was 160000 three years ago. if it has increased by 3%, 2.5% and 5%. respectively in the last three years, then the present population is..
A) 177300. B) 177499
C) 177549. D) 177366
44) A rare species of Deer was kept in an experimental Jungle and reared. its population increased by 10% in the first year and 5% in the second year, but decreased by 20% in the third year. if the number of animals in the beginning was 500, find their number at the end of 3rd year.
A) 362 B) 598 C) 462 D) none
45) The value of residential flat constructed at a cost of ₹100000 it depreciating at the rate of 10% per annum. Its value after three years of construction would be.
A)92700. B) 72900
C) 80000. D) 85600
46) A Maruti Swift costs ₹360000. Its price depreciates at the rate of 10% a year during first 2 years and at the rate of 20% in the third year. What will be the price of the car after three years ?
A) 233000. B) 235987
C) 245698. D) 233280
47) taking data from the previous question, what would be the total depreciation in the three years?
A) 126000. B) 125498
C) 145984. D) 126720
48) What amount of money lent out at compound interest will amount to ₹1936 in 2 years at 10% per annum Interest Compounded being charged annually.
A) 1600 B) 1660 C)1500 D) none
49) compound interest on a sum of money were ₹450 and ₹477 in two consecutive years. Find the rate percent if the sum of the money is compounded annually.
A) 4.5% B)5.5% C)6% D)4%
50) A sum of money Doubles itself in 5 years. in how many years will it become four fold (if interest is compounded)
A) 15. B) 10. C) 20. D) 12
51) A certain sum of money Doubles itself at a certain rate of compound interest in 3 years, in how many years will the ratio of their principal to the Compound Interest be 1:3?
A) 5. B) 6. C) 9yrs. D) none
52) solve the above question assuming simple interest.
A) 5yrs B)6yrs C) 9yrs D) none
53) A sum of money placed at compound interest Doubles itself in 3 years. in how many years will it amount to 8 times itself ?
A)9yrs. B)8yrs C)27yrs D) 7yrs
54) An amount of money grows up to ₹8000 in 2 years and up to ₹8500 in 3 yrs. find the compounded rate of interest.
A) 6% B)6.25% C)6.67% D) 5.25%
55) the difference between compound interest and simple interest on a certain sum of money is ₹40 for 1st two years and ₹122 for the first three years. find the sum, if the rate is same in both the cases.
A) 8000. B) 12000
C) 15000. D) 16000
56) the compound interest on a certain sum for 2 years is ₹70.40 and the simple interest is ₹70. what is the rate of interest ?
A) 3% B) 4% C) 5% D) 6%
57) if the difference between compound and the simple interest on a certain sum of money for 3 years at 10% per annum is ₹248, find the sum
A) 6000. B)7000 C)8000. D) 9000
58) the population of a city is 2000000. If the annual birth rate and the annual death rate are 6% and 3% respectively, then calculate the population of the city after 2 years.
A) 212090. B) 206090
C) 212000. D) 212180
59) Find the least whole number of years in which a sum of money invested at 20% compound interest per annum will more than double itself.
A) 4 B) 3. C) 2. D) 5
60) A certain sum invested at compound interest becomes ₹34560 in 8 years and ₹24000 in 6 years. What is the amount after 5 years ?
A) ₹12413 B) ₹22500
C) ₹10000. D) 20000
61) the interest on a certain sum invested at a certain rate of Compound Interest is ₹23205 in 4 years and ₹10500 in 2 years. find the amount at the end of the first year.
A) 55000. B) 12000
C) 40000. D) 15000
62) the compound interest earned on a sum of money at a rate of 10% per annum for the first year and 12% per annum for the second year is what percent of the sum lent ?
A)21% B)22% C)23.2% D) 24%
63) A sum triplets itself in n years at a certain rate of compound interest compounded annually. if it becomes 5 times of itself in (2n-m) years, find the approximate value of m and in terms of n. given log 3: log 5= 0.6825
A) 0.683n. B) 0.535n
C)0.355n. D) 0.699n
64) if the rate of interest is 20% per annum, find the difference in the interests accrued for one year on a sum of ₹100000 in cases when interest is compounded half-yearly and when it is compounded quarterly.
A) 550.60. B) 450.55
C) 828.50. D) 719.15
65) the compound interest on a certain sum for two years is ₹1520 and the corresponding simple interest is ₹1500. find the compound interest on the same sum for 3 years approximately.
A) 800. B)816. C)2569 D) 2326
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