Simple Interest, Compound Interest, Ratio and Proportion - Question Bank

1. A sum of money doubles in 5 years at simple interest. The rate of interest per annum is:
A) 10%
B) 15%
C) 20%
D) 25%
2. The ratio of income and expenditure of a person is 11:10. If he saves Rs. 9000 per year, his income is:
A) Rs. 90000
B) Rs. 99000
C) Rs. 100000
D) Rs. 110000
3. If the amount after 2 years compounded annually is Rs. 1210 and the principal is Rs. 1000, the rate of interest is:
A) 5%
B) 8%
C) 10%
D) 12%
4. What is the simple interest on Rs. 1000 for 3 years at 5% per annum?
A) Rs. 150
B) Rs. 100
C) Rs. 200
D) Rs. 50
5. A sum of money is divided among P, Q, R in the ratio 2:3:7. If P's share is Rs. 3500, then R's share is:
A) Rs. 12250
B) Rs. 10500
C) Rs. 7000
D) Rs. 14000
6. The difference between the compound interest and simple interest on Rs. 5000 for 3 years at 10% per annum is:
A) Rs. 155
B) Rs. 150
C) Rs. 1550
D) Rs. 500
7. A sum of money doubles in 4 years at simple interest. In how many years will it become 5 times itself?
A) 12 years
B) 16 years
C) 20 years
D) 24 years
8. The ratio of two numbers is 7:11. If 8 is added to both the numbers, the ratio becomes 9:13. The numbers are:
A) 28 and 44
B) 35 and 55
C) 63 and 99
D) 70 and 110
9. If the compound interest on a sum of money for 2 years at 10% per annum is Rs. 520, the sum is:
A) Rs. 2000
B) Rs. 2500
C) Rs. 3000
D) Rs. 3500
10. A sum of money at simple interest amounts to Rs. 2100 in 3 years and Rs. 2400 in 6 years. The rate of interest is:
A) 5%
B) 10%
C) 15%
D) 20%
11. The ratio of ages of father and son is 5:2. If the sum of their ages is 56 years, the age of the son is:
A) 16 years
B) 21 years
C) 24 years
D) 32 years
12. The compound interest on Rs. 10000 for 2 years at 5% per annum, compounded annually, is:
A) Rs. 1000
B) Rs. 1025
C) Rs. 1050
D) Rs. 500
13. A sum of money lent out at simple interest amounts to Rs. 650 in 3 years and Rs. 750 in 5 years. The sum is:
A) Rs. 500
B) Rs. 550
C) Rs. 600
D) Rs. 650
14. The ratio of two numbers is 2:5. If 10 is added to the first number and 4 is subtracted from the second number, the ratio becomes 4:5. The numbers are:
A) 20 and 50
B) 10 and 25
C) 30 and 75
D) 40 and 100
15. If Rs. 1200 is invested at 10% compound interest for 3 years, the amount will be:
A) Rs. 1597.20
B) Rs. 1600.00
C) Rs. 1500.00
D) Rs. 1590.00
16. A sum of money triples itself in 10 years at simple interest. The rate of interest per annum is:
A) 10%
B) 15%
C) 20%
D) 25%
17. What is the difference between the compound interest and simple interest on Rs. 5000 for 2 years at 8% per annum, if the interest is compounded annually?
A) Rs. 25.60
B) Rs. 32.00
C) Rs. 40.00
D) Rs. 30.00
18. The ratio of the incomes of A and B is 4:3. If A earns Rs. 1200 more than B, then B's income is:
A) Rs. 3600
B) Rs. 4800
C) Rs. 3000
D) Rs. 4000
19. A sum of money amounts to Rs. 9600 in 5 years and Rs. 12000 in 10 years at simple interest. The rate of interest is:
A) 5%
B) 8%
C) 10%
D) 12%
20. If the interest is compounded annually, the effective annual rate of interest is equal to the nominal rate when:
A) Interest is compounded semi-annually
B) Interest is compounded quarterly
C) Interest is compounded annually
D) Interest is simple interest
21. The population of a town increases by 10% every year. If its present population is 21000, after 2 years it will be:
A) 25410
B) 25000
C) 25200
D) 26000
22. A sum of money doubles itself at simple interest in 10 years. What is the rate of interest?
A) 5%
B) 8%
C) 10%
D) 12%
23. The ratio of the number of boys and girls in a school is 15:13. If the total number of students is 2100, the number of boys is:
A) 1100
B) 1125
C) 1150
D) 1200
24. The difference between the compound interest and simple interest on a certain sum for 3 years at 10% per annum is Rs. 31. The sum is:
A) Rs. 1000
B) Rs. 1500
C) Rs. 2000
D) Rs. 2500
25. A sum of money lent at simple interest amounts to Rs. 756 in 2 years and Rs. 858 in 3 years. The rate of interest per annum is:
A) 10%
B) 12.5%
C) 15%
D) 17.5%
26. The ratio of two numbers is 3:8. If the first number is multiplied by 3 and the second number is increased by 20, the ratio becomes 1:2. The first number is:
A) 15
B) 18
C) 21
D) 24
27. If Rs. 1600 is invested at 10% compound interest compounded semi-annually, the amount after 1 year will be:
A) Rs. 1760
B) Rs. 1764
C) Rs. 1800
D) Rs. 1840
28. What annual installment will discharge a debt of Rs. 1020 due in 3 years at 10% simple interest?
A) Rs. 300
B) Rs. 310
C) Rs. 320
D) Rs. 330
29. A sum of money at simple interest becomes Rs. 600 in 10 years and Rs. 700 in 15 years. The rate of interest per annum is:
A) 1%
B) 2%
C) 3%
D) 4%
30. The ratio of boys and girls in a class is 5:3. If there are 24 students in total, the number of girls is:
A) 8
B) 9
C) 10
D) 12
31. The difference between the compound interest and simple interest on Rs. 10000 for 2 years at 10% per annum is:
A) Rs. 100
B) Rs. 1000
C) Rs. 10
D) Rs. 500
32. A sum of money doubles in 8 years at simple interest. In how many years will it triple itself?
A) 12 years
B) 16 years
C) 20 years
D) 24 years
33. Two numbers are in the ratio 5:7. If 8 is added to both the numbers, their ratio becomes 3:4. The numbers are:
A) 40 and 56
B) 20 and 28
C) 60 and 84
D) 80 and 112
34. The compound interest on a sum of money at a certain rate for 2 years is Rs. 25.80 and the simple interest on the same sum for the same period is Rs. 25. Find the rate of interest.
A) 4%
B) 5%
C) 6%
D) 8%
35. A sum of money becomes Rs. 1500 in 5 years and Rs. 1750 in 10 years at simple interest. The rate of interest is:
A) 5%
B) 10%
C) 15%
D) 20%
36. A sum of money is distributed among A, B, and C in the ratio 3:4:5. If C gets Rs. 800 more than B, then A's share is:
A) Rs. 1200
B) Rs. 1600
C) Rs. 2000
D) Rs. 2400
37. If the amount on a certain sum for 2 years is Rs. 2.25 times the sum, then the compound interest rate per annum is:
A) 25%
B) 50%
C) 10%
D) 15%
38. A sum of money lent out at simple interest amounts to Rs. 720 in 2 years and to Rs. 1020 in a further period of 5 years. The rate of interest per annum is:
A) 10%
B) 12%
C) 15%
D) 18%
39. The ratio of two quantities is 2:3. If the first quantity is increased by 20% and the second quantity is decreased by 20%, the new ratio is:
A) 1:2
B) 2:3
C) 3:4
D) 4:3
40. The compound interest on a sum of money for 2 years is Rs. 50.75 and the simple interest on the same sum for 2 years is Rs. 50. The rate of interest is:
A) 5%
B) 2.5%
C) 10%
D) 7.5%
41. Simple interest on a certain sum for 3 years is Rs. 225. If the rate of interest is increased by 2%, the interest would be Rs. 20 more. The principal is:
A) Rs. 2000
B) Rs. 2500
C) Rs. 3000
D) Rs. 3500
42. The ratio of the ages of A and B is 4:5. Five years ago, the ratio of their ages was 3:4. The present age of A is:
A) 15 years
B) 20 years
C) 25 years
D) 30 years
43. A sum of money becomes Rs. 1323 in 3 years and Rs. 1728 in 6 years at compound interest. The sum is:
A) Rs. 900
B) Rs. 1000
C) Rs. 1050
D) Rs. 1100
44. At what rate of simple interest will a sum of money become 7/4 times of itself in 6 years?
A) 12.5%
B) 15%
C) 18.5%
D) 20%
45. In what ratio must rice at Rs. 5.30 per kg be mixed with rice at Rs. 6.80 per kg so that by selling the mixture at Rs. 7.50 per kg, there may be a gain of 25%?
A) 1:2
B) 2:3
C) 3:4
D) 4:5
46. The difference between the compound interest and simple interest on Rs. 5000 for 2 years at 8% per annum is:
A) Rs. 25.60
B) Rs. 32.00
C) Rs. 40.00
D) Rs. 30.00
47. A sum of money amounts to Rs. 9800 in 2 years and Rs. 12005 in 3 years at simple interest. The rate of interest per annum is:
A) 10%
B) 12%
C) 15%
D) 18%
48. Two numbers are in the ratio 3:5. If 9 is added to both the numbers, the ratio becomes 6:10. What are the numbers?
A) 15 and 25
B) 27 and 45
C) 30 and 50
D) 33 and 55
49. The compound interest on a certain sum for 2 years at 10% per annum is Rs. 420. What is the sum?
A) Rs. 1000
B) Rs. 1500
C) Rs. 2000
D) Rs. 2500
50. If a sum of money doubles itself in 10 years at simple interest, what is the rate of interest per annum?
A) 5%
B) 10%
C) 15%
D) 20%