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

1. In what ratio must rice at Rs. 6.20 per kg be mixed with rice at Rs. 7.20 per kg so that by selling the mixture at Rs. 8.40 per kg, there may be a gain of 20%? 3:4
2. Two numbers are in the ratio 2:3. If 5 is added to each number, the ratio becomes 5:7. What are the numbers? 10 and 15
3. The ratio of the quantities of two liquids A and B is 4:3. If 5 liters of liquid A are added, the ratio becomes 2:1. What is the quantity of liquid B? 15 liters
4. A sum of money doubles itself in 10 years at simple interest. At what rate percent per annum will it triple itself in the same period? 20%
5. The ratio of two numbers is 7:11. If the sum of the numbers is 360, what is the larger number? 198
6. The ratio of two numbers is 5:8. If 10 is added to the first number and 5 is subtracted from the second number, the ratio becomes 7:10. What is the sum of the original numbers? 156
7. A sum of money placed at simple interest doubles itself in 8 years. In how many years will it triple itself? 16 years
8. If a:b = 2:3, b:c = 4:5, and c:d = 6:7, what is the ratio a:d? 12:35
9. The ratio of two numbers is 3:8. If 7 is added to both numbers, the ratio becomes 1:2. The numbers are: 15 and 40
10. The ratio of the ages of A and B is 3:5. After 7 years, the ratio of their ages will be 2:3. What is the present age of B? 35 years
11. A sum of money doubles itself in 5 years at simple interest. In how many years will it become 5 times itself? 20 years
12. The ratio of the ages of A and B is 3:4. Five years ago, the ratio of their ages was 5:7. What is the present age of A? 30 years
13. If a:b = 3:4 and b:c = 5:7, what is the ratio a:b:c? 15:20:28
14. If the amount on a sum of money for 2 years at compound interest is 2.25 times the principal, then the rate of interest per annum is: 20%
15. A sum of money invested at simple interest amounts to Rs. 650 in 5 years and Rs. 750 in 8 years. The rate of interest per annum is: 3.125%
16. The ratio of the ages of father and son is 5:2. After 10 years, the ratio of their ages will be 7:4. What is the present age of the father? 50 years
17. Simple interest on a sum of money is 1/4 of the principal. If the time period is 5 years, what is the rate of interest per annum? 5%
18. A sum of money doubles itself in 10 years at simple interest. What is the rate of interest per annum? 10%
19. A sum of money lent at simple interest amounts to Rs. 720 in 2 years and Rs. 1020 in a total of 6 years from the same start. The rate of interest per annum is: 12.5%
20. A sum of money becomes Rs. 9,800 after 2 years and Rs. 12,005 after 3 years at the same rate of simple interest. The rate of interest per annum is: 20%
21. If the simple interest on a sum of money is equal to the principal, and the number of years is equal to the rate of interest, find the rate of interest. 10%
22. The ratio of boys and girls in a class is 5:3. If there are 24 students in total, how many girls are there? 9
23. The difference between the compound interest and simple interest on a sum of money for 3 years at 10% per annum is Rs. 31. The sum is: Rs. 1,000
24. A and B enter into a partnership. A invests Rs. 20,000 for 9 months and B invests Rs. 30,000 for 6 months. If the total profit is Rs. 27,000, what is A's share? Rs. 12,000
25. A sum of money is divided among A, B, and C in the ratio 2:3:5. If C's share is Rs. 1500 more than B's share, what is A's share? Rs. 1000
26. A, B, and C invest Rs. 5000, Rs. 6000, and Rs. 7000 respectively in a business. After one year, the profit is Rs. 3800. What is C's share of the profit? Rs. 1300
27. A sum of money at simple interest becomes Rs. 1100 in 2 years and Rs. 1250 in 5 years. The principal amount is: Rs. 1050
28. A, B, and C started a business. A invested Rs. 16000 for 12 months, B invested Rs. 12000 for 8 months, and C invested Rs. 10000 for 6 months. If the total profit is Rs. 38000, what is B's share? Rs. 12000
29. A sum of money invested at compound interest at 8% per annum amounts to Rs. 13500 in 2 years. The sum invested is: Rs. 11664
30. A, B, and C invested Rs. 8000, Rs. 10000, and Rs. 12000 respectively in a business. A and B managed the business. The profit earned was Rs. 4800. What is the share of A if the management fee is 10% of the profit and the remaining profit is distributed in the ratio of investment? Rs. 1440
31. The amount on a certain sum for 2 years at 4% compound interest is Rs. 1352. The sum is: Rs. 1250
32. A sum of Rs. 430 is divided among A, B, and C such that A gets 2/3 of B's share and B gets 1/4 of C's share. What is C's share? Rs. 258
33. A and B started a business by investing Rs. 20,000 and Rs. 25,000 respectively. They agreed to share profits in the ratio of their investments. If B received Rs. 10,000 as profit, what was the total profit? Rs. 19,000
34. P and Q entered into a partnership with initial investments of Rs. 15,000 and Rs. 20,000 respectively. After 4 months, P invested an additional Rs. 5,000. If the total profit at the end of the year was Rs. 46,000, what is Q's share? Rs. 23,000
35. In a partnership, A and B invest Rs. 10,000 and Rs. 15,000 respectively. If the total profit is Rs. 5,000, what is A's share of the profit? Rs. 2,000
36. The difference between the simple interest and compound interest on a certain sum for 2 years at 10% per annum is Rs. 40. What is the sum? Rs. 4,000
37. If Rs. 16,000 is invested at 10% per annum compound interest, compounded annually, what will be the amount after 3 years? Rs. 21,760
38. A sum of money is divided among three persons A, B, and C in the ratio 2:3:7. If C's share is Rs. 700 more than B's share, what is the total sum of money? Rs. 4000
39. A sum of money is divided among P, Q, and R in the ratio 1/2 : 1/3 : 1/4. If R's share is Rs. 120, what is the total sum? Rs. 540
40. A and B start a business with Rs. 50,000 and Rs. 80,000 respectively. A works for the entire year, while B works for 8 months. If the total profit is Rs. 10,000, what is B's share? Rs. 4,000
41. A, B, and C started a business with investments in the ratio 1/3 : 1/4 : 1/5. After one year, the profit was Rs. 14,800. C's share of the profit is: Rs. 3,600
42. A sum of money is divided between X and Y in the ratio 4:7. If X's share is Rs. 2800, what is Y's share? Rs. 4900
43. The compound interest on a certain sum for 2 years at 5% per annum is Rs. 255. The sum is: Rs. 5,000
44. The compound interest on a sum of money at 5% per annum for 2 years is Rs. 510. The sum invested is: Rs. 10,000
45. The rate of interest for compound interest is 10% per annum. If the difference between the compound interest and simple interest for 2 years is Rs. 50, then the sum is: Rs. 5,000
46. A, B, and C enter into a partnership. A invests Rs. 4,000 for 6 months, B invests Rs. 5,000 for 4 months, and C invests Rs. 6,000 for 3 months. If the total profit is Rs. 24,000, what is B's share? Rs. 8,000
47. A sum of money at simple interest amounts to Rs. 875 in 3 years and Rs. 1050 in 5 years. The principal amount is: Rs. 750
48. A sum of Rs. 720 is divided among A, B, and C in the ratio 2:3:4. What is the difference between C's share and A's share? Rs. 240
49. What is the compound interest on Rs. 5,000 for 2 years at 8% per annum, if the interest is compounded semi-annually? Rs. 832
50. The ratio of income to expenditure of a person is 11:10. If he saves Rs. 9000 per year, his income is: Rs. 99,000