Simple Interest, Compound Interest, Ratio and Proportion - One Line Questions

1. 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%? 3:4
2. 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: 3:4
3. 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: 2%
4. 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: 15%
5. 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: 10%
6. 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: 15%
7. A sum of money triples itself in 10 years at simple interest. The rate of interest per annum is: 20%
8. A sum of money doubles in 5 years at simple interest. The rate of interest per annum is: 20%
9. 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: 1125
10. A sum of money doubles in 8 years at simple interest. In how many years will it triple itself? 16 years
11. A sum of money doubles in 4 years at simple interest. In how many years will it become 5 times itself? 16 years
12. At what rate of simple interest will a sum of money become 7/4 times of itself in 6 years? 12.5%
13. 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: 15
14. 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? 27 and 45
15. 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: 20 years
16. 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: 16 years
17. 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: 10 and 25
18. 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: 50%
19. The population of a town increases by 10% every year. If its present population is 21000, after 2 years it will be: 25410
20. The ratio of two numbers is 7:11. If 8 is added to both the numbers, the ratio becomes 9:13. The numbers are: 28 and 44
21. 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. 6%
22. Two numbers are in the ratio 5:7. If 8 is added to both the numbers, their ratio becomes 3:4. The numbers are: 40 and 56
23. If a sum of money doubles itself in 10 years at simple interest, what is the rate of interest per annum? 10%
24. 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: 2.5%
25. A sum of money becomes Rs. 1500 in 5 years and Rs. 1750 in 10 years at simple interest. The rate of interest is: 5%
26. A sum of money doubles itself at simple interest in 10 years. What is the rate of interest? 10%
27. 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: 8%
28. 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: 10%
29. If the amount after 2 years compounded annually is Rs. 1210 and the principal is Rs. 1000, the rate of interest is: 10%
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: 9
31. If the interest is compounded annually, the effective annual rate of interest is equal to the nominal rate when: Interest is compounded annually
32. The difference between the compound interest and simple interest on Rs. 10000 for 2 years at 10% per annum is: Rs. 100
33. The compound interest on a certain sum for 2 years at 10% per annum is Rs. 420. What is the sum? Rs. 2000
34. 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: Rs. 1000
35. The compound interest on Rs. 10000 for 2 years at 5% per annum, compounded annually, is: Rs. 1025
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: Rs. 2400
37. 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: Rs. 12250
38. What is the simple interest on Rs. 1000 for 3 years at 5% per annum? Rs. 150
39. The difference between the compound interest and simple interest on Rs. 5000 for 3 years at 10% per annum is: Rs. 155
40. If Rs. 1200 is invested at 10% compound interest for 3 years, the amount will be: Rs. 1597.20
41. If Rs. 1600 is invested at 10% compound interest compounded semi-annually, the amount after 1 year will be: Rs. 1764
42. 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: Rs. 2500
43. If the compound interest on a sum of money for 2 years at 10% per annum is Rs. 520, the sum is: Rs. 2500
44. The difference between the compound interest and simple interest on Rs. 5000 for 2 years at 8% per annum is: Rs. 25.60
45. 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? Rs. 25.60
46. What annual installment will discharge a debt of Rs. 1020 due in 3 years at 10% simple interest? Rs. 330
47. 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: Rs. 3600
48. 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: Rs. 550
49. A sum of money becomes Rs. 1323 in 3 years and Rs. 1728 in 6 years at compound interest. The sum is: Rs. 1000
50. The ratio of income and expenditure of a person is 11:10. If he saves Rs. 9000 per year, his income is: Rs. 99000