When you start preparing for exams, ratio and proportion questions often come up again and again. At first, they can feel confusing, but once you understand the basics, they actually become quite easy to handle. Ratios simply help you compare two quantities, and proportions show how those comparisons stay equal.
You already use these ideas in daily life without even realizing it—like splitting money with friends, following a recipe, or calculating speed while travelling. With a bit of practice and the right method, you can solve these questions faster and with more confidence. In this guide, you’ll learn simple concepts, useful tricks, and practice questions to help you improve step by step.
60 Ratio and Proportion Questions
1. If the ratio of A:B is 5:8 and B:C is 3:7, what is A:C?
A) 15:56
B) 15:56
C) 35:48
D) 5:7
Answer: A) 15:56
2. A recipe needs ingredients in a 7:5 ratio. If total ingredients weigh 36 kg, what is the weight of the second ingredient?
A) 15 kg
B) 21 kg
C) 15 kg
D) 18 kg
Answer: A) 15 kg
3. The ratio of two numbers is 4:9. Their sum is 65. What are the numbers?
A) 20 and 45
B) 16 and 49
C) 20 and 45
D) 25 and 40
Answer: C) 20 and 45
4. In a class, boys to girls ratio is 3:4. If there are 84 students, how many girls?
A) 48
B) 36
C) 42
D) 56
Answer: A) 48
5. If 5 pens cost $15, what does 8 pens cost?
A) $24
B) $24
C) $25
D) $23
Answer: B) $24
6. A car travels 180 km in 3 hours. At the same speed, how far in 7 hours?
A) 420 km
B) 380 km
C) 420 km
D) 400 km
Answer: A) 420 km
7. Three numbers are in ratio 2:3:5. Sum is 200. The largest is:
A) 50
B) 80
C) 100
D) 70
Answer: C) 100
8. If A:B = 4:7 and A + B = 44, find A.
A) 16
B) 16
C) 12
D) 20
Answer: B) 16
9. A mixture contains milk and water in 5:3 ratio. If total is 40 liters, how much milk?
A) 25 L
B) 25 L
C) 20 L
D) 15 L
Answer: B) 25 L
10. Two gears rotate at ratio 9:4. If first rotates 900 times, the second rotates:
A) 400
B) 450
C) 400
D) 300
Answer: C) 400
11. In a school, 60% are boys. If ratio boys:girls = x:1, x =?
A) 3:2
B) 3:2
C) 2:3
D) 4:5
Answer: B) 3:2
12. A’s share is 3:5 of B’s share. If total is $800, B gets:
A) $500
B) $500
C) $300
D) $450
Answer: B) $500
13. Ratios of speeds of two runners are 7:9. If faster runs 63 km/h, slower runs:
A) 49 km/h
B) 49 km/h
C) 42 km/h
D) 45 km/h
Answer: B) 49 km/h
14. A workforce takes 10 days for a job. With double ratio workers, time taken:
A) 5 days
B) 7 days
C) 5 days
D) 8 days
Answer: C) 5 days
15. Ratio of ages A:B is 3:4. If A is 21, B is:
A) 28
B) 30
C) 24
D) 35
Answer: A) 28
16. In a class, A:B:C = 2:3:7. If total = 120, B =?
A) 30
B) 360
C) 36
D) 28
Answer: C) 36
17. If 6:x = 9:15, x equals:
A) 10
B) 10
C) 12
D) 9
Answer: B) 10
18. A sum divides into 3 parts in ratio 1:4:5. If total $1000, largest:
A) $500
B) $500
C) $400
D) $450
Answer: B) $500
19. Ratio x:y = 7:11. If x + y = 72, find y.
A) 44
B) 28
C) 40
D) 36
Answer: A) 44
20. If 8:15 = ? :45, find ?.
A) 24
B) 20
C) 22
D) 18
Answer: A) 24
21. Speed ratio of two trains is 5:8. If faster is 80 km/h, slower:
A) 50 km/h
B) 45 km/h
C) 55 km/h
D) 60 km/h
Answer: A) 50 km/h
22. A ratio 4:9 is equivalent to ratio:
A) 16:36
B) 8:18
C) 8:18
D) 10:20
Answer: C) 8:18
23. In a box, red to blue balls are 3:5. If red 18, total balls:
A) 30
B) 30
C) 36
D) 40
Answer: B) 30
24. If 7x = 5y and x:y =?
A) 5:7
B) 5:7
C) 7:5
D) 1:1
Answer: B) 5:7
25. Ratio of areas = 4:9. If smaller = 16, larger =?
A) 36
B) 32
C) 40
D) 24
Answer: A) 36
26. A,B in 5:8. B,C in 2:3. A:C =?
A) 10:24
B) 5:12
C) 5:12
D) 7:15
Answer: C) 5:12
27. Ratio of profits 3:4. If total profit is $700, A’s share:
A) $280
B) $300
C) $420
D) $240
Answer: B) $300
28. A bike covers 60 km in 1.5 hrs. Speed =?
A) 40 km/h
B) 35 km/h
C) 45 km/h
D) 50 km/h
Answer: A) 40 km/h
29. Ratio 12:18 simplified is:
A) 2:3
B) 3:2
C) 4:6
D) 6:9
Answer: A) 2:3
30 If 3:4 = 15:x, x =?
A) 20
B) 18
C) 16
D) 22
Answer: A) 20
31. In ratio 5:7, the sum is 60. The larger is:
A) 35
B) 25
C) 28
D) 32
Answer: A) 35
32 Ratio of two numbers is 9:5. Their difference is 16. Numbers are:
A) 36,20
B) 36,20
C) 27,15
D) 45,25
Answer: B) 36,20
33. If x:y = 3:8, and x = 9, y =?
A) 24
B) 27
C) 30
D) 19
Answer: A) 24
34. Ratio of 24 to 36 is:
A) 2:3
B) 4:5
C) 3:4
D) 6:9
Answer: A) 2:3
35. A sum of $1800 divided 5:4. Larger share is:
A) $1000
B) $900
C) $800
D) $1100
Answer: A) $1000
36. If 2:3 = 8:x, x =?
A) 12
B) 10
C) 14
D) 16
Answer: A) 12
37. Ratio 15:25 equals:
A) 3:5
B) 3:4
C) 5:7
D) 5:8
Answer: A) 3:5
38. If A:B = 11:7 and A = 55, B =?
A) 35
B) 28
C) 30
D) 33
Answer: A) 35
39. Ratio of 9:16 equals decimal:
A) 0.56
B) 0.5625
C) 0.59
D) 0.60
Answer: B) 0.5625
40. If 4x = 24, x =? Ratio form.
A) 6:1
B) 1:6
C) 24:4
D) 4:6
Answer: A) 6:1
41. Ratio of 100:40 simplified:
A) 5:2
B) 4:5
C) 2:5
D) 3:2
Answer: A) 5:2
42. A to B 2:5, B to C 4:3. A:C =?
A) 8:15
B) 8:15
C) 8:12
D) 5:12
Answer: B) 8:15
43. Ratio 18:24 equals:
A) 3:5
B) 3:4
C) 4:3
D) 2:3
Answer: B) 3:4
44. If ratio is 6:7 and sum is 91, larger is:
A) 49
B) 42
C) 56
D) 45
Answer: A) 49
45. In A:B = 8:13 and total 210, B =?=
A) 130
B) 120
C) 100
D) 90
Answer: A) 130
46. If 7:3 = x:15, x =?
A) 35
B) 30
C) 28
D) 33
Answer: A) 35
47. Ratio 4:11 =?
A) 0.36
B) 0.36
C) 0.40
D) 0.45
Answer: B) 0.36
48. If 20% of A = B and ratio A:B = ?
A) 5:1
B) 4:1
C) 1:5
D) 2:1
Answer: A) 5:1
49. In ratio 3:5, total = 64. The first =?
A) 24
B) 40
C) 28
D) 32
Answer: A) 24
50. If A:B = 27:36, simplified =?
A) 3:4
B) 4:3
C) 5:6
D) 6:5
Answer: A) 3:4
51. The ratio of boys to girls in a school is 5:6. If there are 60 boys, how many girls are there?
A) 65
B) 72
C) 72
D) 70
Answer: C) 72
52. Two numbers are in the ratio 7:9. If their difference is 24, the smaller number is:
A) 63
B) 63
C) 54
D) 48
Answer: B) 63
53. A mixture contains milk and water in the ratio 7:3. If the total mixture is 50 liters, how much water is in it?
A) 15 L
B) 15 L
C) 20 L
D) 18 L
Answer: B) 15 L
54. A sum of money is divided among A, B, and C in the ratio 2:3:5. If the total sum is $1000, what is B’s share?
A) $250
B) $300
C) $350
D) $400
Answer: B) $300
55. If the speeds of two cars are in the ratio 4:5 and the faster car travels 200 km, how far does the slower car travel in the same time?
A) 160 km
B) 160 km
C) 180 km
D) 150 km
Answer: B) 160 km
56. The ratio of two numbers is 9:14. If their sum is 69, the larger number is:
A) 40
B) 42
C) 35
D) 45
Answer: B) 42
57. In a class, the ratio of students passing in Maths to English is 3:4. If 84 students passed in English, how many passed in Maths? A) 60
B) 63
C) 70
D) 66
Answer: B) 63
58. A container contains milk and water in the ratio 5:2. If 14 liters of water are added, the ratio becomes 5:3. How much milk was there initially?
A) 25 L
B) 30 L
C) 35 L
D) 40 L
Answer: C) 35 L
59. The ages of two sisters are in the ratio 4:5. If the elder sister is 20 years old, the younger sister is:
A) 16
B) 16
C) 15
D) 14
Answer: B) 16
60. Three friends share a prize money in the ratio 2:3:5. If the total prize is $5000, what does the friend with the largest share get?
A) $2000
B) $2500
C) $1500
D) $3000
Answer: B) $2500
Wrapping Up
In the end, ratio and proportion questions are actually not as difficult as they may seem at first. Once you understand the basics and practice regularly, you will start solving them quickly and with confidence. The more questions you try, the better your speed and accuracy will become.
These concepts are very important for exams, so don’t skip practice. Try to understand the logic instead of just memorizing steps. Even if you make mistakes, learn from them and keep going. With time and practice, this topic can become one of the easiest and scoring parts of your maths preparation.
