Ratio and Proportion - Question Bank

1. The ratio of two numbers is 2:5. If the first number is multiplied by 4 and the second number is divided by 2, the ratio becomes 4:5. Find the numbers.
A) 10 and 25
B) 20 and 50
C) 4 and 10
D) 8 and 20
2. The ratio of the number of boys and girls in a school is 7:5. If there are 480 students in total, find the number of boys.
A) 280
B) 350
C) 210
D) 300
3. If a:b = 5:3 and b:c = 6:7, then a:c is:
A) 5:7
B) 30:21
C) 10:7
D) 5:21
4. The ratio of two numbers is 3:7. If 4 is added to the first number and 2 is subtracted from the second number, the ratio becomes 5:9. Find the numbers.
A) 15 and 35
B) 27 and 63
C) 12 and 28
D) 30 and 70
5. The ratio of the number of chairs and tables in a room is 8:5. If there are 39 items in total, how many tables are there?
A) 15
B) 24
C) 10
D) 30
6. If a:b = 3:2 and b:c = 4:5, then a:c is:
A) 3:5
B) 12:10
C) 6:5
D) 3:10
7. The ratio of two numbers is 4:5. If the first number is decreased by 2 and the second number is increased by 4, the ratio becomes 2:7. Find the numbers.
A) 8 and 10
B) 16 and 20
C) 20 and 25
D) 24 and 30
8. If the ratio of a number and its square is 1:5, find the number.
A) 1
B) 5
C) 10
D) 25
9. In a mixture of 80 liters, the ratio of milk and water is 3:5. How much milk should be added to make the ratio 3:2?
A) 10 liters
B) 20 liters
C) 30 liters
D) 40 liters
10. The ratio of the number of apples and bananas in a box is 7:4. If there are 121 fruits in total, how many bananas are there?
A) 44
B) 77
C) 33
D) 88
11. The ratio of two numbers is 1:2. If 7 is added to both numbers, the ratio becomes 3:5. Find the numbers.
A) 7 and 14
B) 14 and 28
C) 21 and 42
D) 35 and 70
12. If a:b = 2:5 and b:c = 3:4, then a:c is:
A) 2:4
B) 6:15
C) 6:20
D) 5:4
13. The ratio of the price of a pen to a pencil is 3:1. If the price of the pen is Rs. 30, what is the price of the pencil?
A) Rs. 10
B) Rs. 15
C) Rs. 20
D) Rs. 5
14. Two numbers are in the ratio 3:4. If the first number is multiplied by 5 and the second number is multiplied by 3, the ratio becomes 5:4. Find the numbers.
A) 15 and 20
B) 30 and 40
C) 45 and 60
D) 60 and 80
15. The ratio of the number of boys and girls in a school is 5:6. If there are 110 students in total, find the number of girls.
A) 50
B) 55
C) 60
D) 66
16. If a:b = 1:4 and b:c = 2:5, then a:c is:
A) 1:5
B) 2:20
C) 1:10
D) 4:10
17. The ratio of two numbers is 7:11. If 7 is added to each number, the new ratio becomes 2:3. Find the numbers.
A) 49 and 77
B) 35 and 55
C) 21 and 33
D) 14 and 22
18. The ratio of the number of red marbles to blue marbles in a bag is 4:5. If there are 36 marbles in total, how many red marbles are there?
A) 16
B) 18
C) 20
D) 25
19. If a:b = 2:3 and b:c = 5:7, then a:c is:
A) 2:7
B) 10:21
C) 7:10
D) 5:3
20. The ratio of two numbers is 3:5. If the first number is increased by 10 and the second number is decreased by 10, the ratio becomes 1:3. Find the numbers.
A) 15 and 25
B) 10 and 50
C) 20 and 30
D) 5 and 35
21. In a class, the ratio of boys to girls is 3:5. If there are 32 students in total, how many boys are there?
A) 10
B) 12
C) 15
D) 20
22. The ratio of two numbers is 5:9. If 6 is subtracted from the first number and 4 is added to the second number, the ratio becomes 1:3. Find the numbers.
A) 15 and 27
B) 10 and 18
C) 20 and 36
D) 25 and 45
23. If a:b = 5:6 and b:c = 8:9, then a:c is:
A) 5:9
B) 40:54
C) 10:9
D) 5:48
24. The ratio of the ages of father and son is 7:2. If the sum of their ages is 63 years, find the present age of the son.
A) 14 years
B) 18 years
C) 21 years
D) 49 years
25. In what ratio should tea at Rs. 60 per kg be mixed with tea at Rs. 69 per kg so that by selling the mixture at Rs. 72 per kg, there is a gain of 15%?
A) 2:1
B) 1:2
C) 3:1
D) 1:3
26. The ratio of the number of students in Section A and Section B is 3:4. If there are 42 students in Section B, how many students are there in Section A?
A) 30
B) 31.5
C) 32
D) 33
27. If a:b = 4:5 and b:c = 15:7, then a:c is:
A) 4:7
B) 12:7
C) 60:35
D) 4:35
28. The ratio of two numbers is 1:5. If 10 is added to both numbers, their ratio becomes 1:3. Find the numbers.
A) 5 and 25
B) 10 and 50
C) 15 and 75
D) 20 and 100
29. What is the third proportional to 8 and 12?
A) 16
B) 18
C) 20
D) 24
30. The ratio of income to expenditure of a person is 11:10. If he saves Rs. 1800 per month, find his monthly income.
A) Rs. 19800
B) Rs. 18000
C) Rs. 16200
D) Rs. 11000
31. Two numbers are in the ratio 2:3. If 4 is subtracted from the first number and 2 is added to the second number, the ratio becomes 1:2. Find the numbers.
A) 10 and 15
B) 8 and 12
C) 6 and 9
D) 12 and 18
32. The ratio of the number of men and women in a committee is 5:4. If there are 45 members in total, how many women are there?
A) 20
B) 25
C) 22
D) 23
33. If a:b = 3:4 and b:c = 2:5, then a:c is:
A) 3:5
B) 6:20
C) 3:10
D) 9:20
34. The ratio of the speeds of two trains is 5:7. If the first train covers 250 km in 5 hours, what is the speed of the second train?
A) 50 km/hr
B) 70 km/hr
C) 60 km/hr
D) 35 km/hr
35. If Rs. 1200 is divided among A, B, and C in the ratio 2:3:5, what is A's share?
A) Rs. 240
B) Rs. 360
C) Rs. 600
D) Rs. 120
36. The ratio of the number of apples and oranges in a basket is 5:3. If there are 40 fruits in total, how many apples are there?
A) 20
B) 25
C) 30
D) 35
37. The mean proportional between 16 and 36 is:
A) 24
B) 26
C) 28
D) 30
38. The ratio of two numbers is 3:7. If 5 is added to each number, the new ratio becomes 1:2. Find the numbers.
A) 15 and 35
B) 10 and 70
C) 20 and 140
D) 5 and 175
39. If a:b = 1:2, b:c = 3:4, and c:d = 5:6, then a:d is:
A) 1:4
B) 5:24
C) 15:48
D) 1:6
40. The ratio of the number of boys and girls in a school is 11:10. If the total number of students is 1610, find the number of girls.
A) 770
B) 840
C) 700
D) 800
41. If 15% of a number is equal to 20% of another number, what is the ratio of the first number to the second number?
A) 3:4
B) 4:3
C) 5:4
D) 4:5
42. In a mixture of 60 liters, the ratio of milk and water is 2:1. How much water should be added to make the ratio 1:2?
A) 10 liters
B) 20 liters
C) 30 liters
D) 40 liters
43. The ratio of two quantities is 7:11. If the first quantity is 49, what is the second quantity?
A) 66
B) 70
C) 77
D) 88
44. What is the fourth proportional to 4, 6, and 8?
A) 10
B) 12
C) 14
D) 16
45. The ratio of the cost price and selling price of an article is 10:11. If the selling price is Rs. 550, find the cost price.
A) Rs. 500
B) Rs. 505
C) Rs. 550
D) Rs. 605
46. If a:b = 2:3 and b:c = 4:5, then a:c is:
A) 2:5
B) 8:15
C) 6:8
D) 11:8
47. The ratio of ages of A and B is 2:3. After 5 years, the ratio of their ages will be 3:4. What is the present age of A?
A) 10 years
B) 15 years
C) 20 years
D) 25 years
48. Two numbers are in the ratio 5:8. If their difference is 39, find the numbers.
A) 65 and 104
B) 50 and 89
C) 55 and 94
D) 60 and 99
49. The ratio of boys to girls in a class is 4:7. If there are 28 boys, how many girls are there?
A) 49
B) 56
C) 63
D) 70
50. If the ratio of two numbers is 3:5 and their sum is 80, find the numbers.
A) 20 and 60
B) 24 and 56
C) 30 and 50
D) 15 and 65
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