Quantitative Aptitude | Questions

Ratio and Proportion questions with solutions

Ratio and Proportion is a Quantitative Aptitude topic for competitive exams. It is tested in RRB Ministerial and Isolated Categories, RPF SI, RRB Section Controller, RPF Constable and other exams. This page has 28 solved ratio and proportion questions written to the official pattern, with a worked solution under each.

28 questionsQuantitative Aptitude

Question 1Easy
A sum of Rs 880 is divided between two people in the ratio 2 : 9. Find the first person's share.
- A.155
- B.145
- C.160Correct
- D.175
- E.165
Show solution
The first person gets 2 of the 11 equal parts: 880 × 2/11 = 160.
Question 2Easy
A sum of Rs 600 is divided between two people in the ratio 7 : 3. Find the first person's share.
- A.405
- B.540
- C.435
- D.420Correct
- E.300
Show solution
The first person gets 7 of the 10 equal parts: 600 × 7/10 = 420.
Question 3Easy
A sum of Rs 300 is divided between two people in the ratio 2 : 3. Find the first person's share.
- A.150
- B.120Correct
- C.90
- D.80
- E.160
Show solution
The first person gets 2 of the 5 equal parts: 300 × 2/5 = 120.
Question 4Easy
A sum of Rs 1100 is divided between two people in the ratio 2 : 9. Find the first person's share.
- A.220
- B.200Correct
- C.270
- D.130
- E.180
Show solution
The first person gets 2 of the 11 equal parts: 1100 × 2/11 = 200.
Question 5Easy
Divide Rs 350 in the ratio 3 : 4. Find the larger part.
- A.180
- B.150
- C.210
- D.200Correct
Show solution
The total has 7 parts, so the larger (4 parts) is 350 × 4/7 = 200.
Question 6Easy
The sum of the ages of A and B is 60 years, and A is twice as old as B. Find B’s age.
- A.18
- B.20Correct
- C.22
- D.25
Show solution
If B is x, then A is 2x and x + 2x = 60, so x = 20.
Question 7Easy
Rs 1200 is divided between A and B in the ratio 3 : 5. Find B’s share.
- A.750Correct
- B.600
- C.450
- D.720
Show solution
The total has 3 + 5 = 8 parts, so B gets 5 parts: 1200 × 5/8 = 750.
Question 8Easy
If A : B = 5 : 7 and B = 63, find A.
- A.35
- B.50
- C.45Correct
- D.40
Show solution
A = B × 5/7 = 63 × 5/7 = 45.
Question 9Moderate
Two numbers are in the ratio 3 : 4 and their sum is 63. What is the larger number?
- A.36Correct
- B.27
- C.28
- D.35
Show solution
The parts total 3 + 4 = 7, so one part is 63 ÷ 7 = 9. The larger number is 4 parts = 4 × 9 = 36.
Question 10Moderate
Two numbers are in the ratio 5 : 7. If 6 is added to each, the ratio becomes 11 : 15. What is the smaller number?
- A.48
- B.54
- C.60Correct
- D.66
- E.72
Show solution
Let the numbers be 5x and 7x. Then (5x + 6) / (7x + 6) = 11 / 15. Cross-multiplying, 15(5x + 6) = 11(7x + 6), so 75x + 90 = 77x + 66, giving 2x = 24 and x = 12. The smaller number is 5 x 12 = 60.
Question 11Moderate
A sum of Rs 520 is divided between two people in the ratio 4 : 9. Find the first person's share.
- A.195
- B.190
- C.125
- D.160Correct
- E.130
Show solution
The first person gets 4 of the 13 equal parts: 520 × 4/13 = 160.
Question 12Moderate
A sum of Rs 6000 is divided among A, B and C in the ratio 1 : 2 : 3. What is C's share?
- A.Rs 2000
- B.Rs 2500
- C.Rs 3000Correct
- D.Rs 3500
- E.Rs 4000
Show solution
The ratio 1 : 2 : 3 has 6 parts for 6000, so one part is 1000. C gets 3 parts: 3 x 1000 = 3000.

These are 12 of 28 ratio and proportion questions in the bank. Attempt the rest with instant feedback in the practice drills, or under a clock in the mock tests.

Frequently asked questions

How many Ratio and Proportion questions are here?

This page shows 12 worked ratio and proportion questions from a bank of 28, spanning 8 easy, 14 moderate and 6 hard. The full set is available to attempt in the timed-free practice drills and the mock tests.

Which exams ask Ratio and Proportion questions?

Ratio and Proportion is part of the Quantitative Aptitude syllabus for RRB Ministerial and Isolated Categories, RPF SI, RRB Section Controller, RPF Constable, RRB JE, RRB Technician, RRB ALP, RRB Group D, RRB NTPC. Weightage varies by exam and stage — check each exam's page for its pattern.

Are these Ratio and Proportion questions free, and are the answers reliable?

Yes. Every question is free, written in-house to the exam pattern rather than copied from a real paper, and the numeric answer keys are recomputed independently at build time — a wrong key fails the build rather than reaching you.