50th Ratio and Proportion Question Practice

Ratio and Proportion Question

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1. Simplify the ratio 36 : 48.
2. Find the ratio of 45 minutes to 2 hours.
3. Express 3 kg to 750 g in the simplest ratio.
4. Divide ₹720 in the ratio 3 : 5.
5. If a : b = 4 : 7 and b = 28, find a.
6. Find the ratio of 0.6 : 1.2.
7. Find the duplicate ratio of 5 : 7.
8. Find the triplicate ratio of 2 : 3.
9. If x : y = 6 : 11 and x = 30, find y.
10. Simplify 144 : 192.
11. Find x if 4 : 6 :: x : 15.
12. Find x if 7 : 21 :: 3 : x.
13. If a : b = 5 : 9 and b : c = 3 : 7, find a : c.
14. Find the fourth proportional to 5, 8, 20.
15. Find the third proportional to 9 and 27.
16. If x : 12 = 15 : 20, find x.
17. If 3 : 5 :: 12 : x, find x.
18. If a : b = 2 : 3 and b : c = 4 : 5, find a : b : c.
19. If x : 8 = 10 : 20, find x.
20. If 12 : x :: 9 : 15, find x.
21. The ratio of boys to girls in a class is 3 : 2. If there are 30 boys, how many girls are there?
22. Two numbers are in the ratio 4 : 5 and their sum is 180. Find the numbers.
23. Divide ₹840 between A and B in the ratio 4 : 3.
24. The ages of A and B are in the ratio 5 : 6. If A is 20 years old, find B’s age.
25. The ratio of income of A and B is 7 : 9. If A earns ₹3500, find B’s income.
26. The ratio of the length and breadth of a rectangle is 5 : 3. If the length is 20 cm, find the breadth.
27. The ratio of two numbers is 8 : 11. If their difference is 27, find the numbers.
28. The ratio of two numbers is 7 : 10 and their sum is 119. Find the numbers.
29. The ratio of the ages of father and son is 6 : 1. If the son is 8 years old, find the father’s age.
30. Divide ₹960 among A, B, and C in the ratio 2 : 3 : 5.
31. Milk and water are mixed in the ratio 5 : 2. If the total mixture is 14 litres, find the quantity of water.
32. A sum of money is divided among A, B, and C in the ratio 3 : 4 : 5. If the total money is ₹2400, find each share.
33. A and B invest money in the ratio 3 : 5. If the total profit is ₹1600, find B’s share.
34. A mixture contains alcohol and water in the ratio 7 : 3. If the total mixture is 20 litres, find the quantity of alcohol.
35. A and B started a business with investments in the ratio 2 : 3. If the total profit is ₹10000, find A’s share.
36. Two numbers are in the ratio 9 : 4. If the larger number is 45, find the smaller number.
37. Divide ₹1500 between A and B in the ratio 7 : 8.
38. The ratio of two numbers is 3 : 4. If the product of the numbers is 192, find the numbers.
39. In a bag, red and blue balls are in the ratio 5 : 7. If there are 60 balls, how many are red?
40. A sum is divided in the ratio 6 : 9. If the smaller share is ₹240, find the larger share.
41. If a : b = 4 : 7 and b : c = 3 : 5, find a : b : c.
42. The ratio of two numbers is 11 : 13 and their sum is 192. Find the numbers.
43. Find x if 8 : x :: 12 : 18.
44. The ratio of boys, girls, and teachers in a school is 10 : 8 : 2. If there are 200 boys, find the number of teachers.
45. Divide ₹2100 among A, B, and C in the ratio 3 : 4 : 7.
46. If a : b = 2 : 5 and b : c = 3 : 4, find a : c.
47. The ratio of two numbers is 15 : 17. If their difference is 8, find the numbers.
48. Find the mean proportional between 9 and 16.
49. If x : y = 5 : 6 and y : z = 3 : 4, find x : y : z.
50. A sum of money is divided between A and B in the ratio 9 : 11. If B gets ₹2200, find the total amount.