Ratio & Proportion

J&K Bank PO · Quantitative Aptitude · 106 practice questions with answers and explanations: 61 Easy, 43 Medium, 2 Hard.

Sample questions

Sample Easy question 1

The ages of A and B are in the ratio 3:4. If A is 15 years old, find B's age.

  1. 19
  2. 18
  3. 22
  4. 20
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Answer: D. Each part = 5, so B's age = 4×5 = 20.

Sample Easy question 2

Divide Rs. 720 between A and B in the ratio 5:7. Find A's share.

  1. 310
  2. 280
  3. 300
  4. 290
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Answer: C. Total parts=12, each part=60, A's share = 5×60 = 300.

Sample Easy question 3

If 2x:3y = 4:9 and x = 6, find y.

  1. 10
  2. 11
  3. 9
  4. 8
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Answer: C. 2×6/3y = 4/9 gives 12×9 = 4×3y, so y = 9.

Sample Medium question 4

Two numbers are in the ratio 3:5. If 10 is added to both, the ratio becomes 5:7. Find the larger number.

  1. 25
  2. 22
  3. 20
  4. 28
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Answer: A. Solving (3x+10)/(5x+10)=5/7 gives x=5, so numbers are 15 and 25.

Sample Medium question 5

The ratio of incomes of A and B is 4:3 and their expenditures are in ratio 3:2. If each saves Rs. 2000, find A's income.

  1. 7000
  2. 8000
  3. 8500
  4. 7500
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Answer: B. Solving the two equations 4x-3y=2000 and 3x-2y=2000 gives x=2000, so A's income = 4×2000 = 8000.

Sample Medium question 6

If a:b = 2:3, and a³:b³ = 8:x, find x.

  1. 24
  2. 30
  3. 27
  4. 25
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Answer: C. Cubing the ratio: (2/3)³ = 8/27, so x = 27.

Sample Hard question 7

A, B, and C invest Rs. 94,000 in a business in the ratio 2:3:4. After 6 months, C withdraws. If the year-end profit is Rs. 20,000, find C's approximate share (profit split by investment × time).

  1. 5000
  2. 6000
  3. 5714
  4. 5500
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Answer: C. Unit-months: A=24, B=36, C=24, total=84. C's share = 20000 × 24/84 ≈ 5714.

Sample Hard question 8

The incomes of A and B are in the ratio 5:7 and their expenditures are in the ratio 3:5. If each saves Rs. 1000, find A's income.

  1. 2400
  2. 2600
  3. 2300
  4. 2500
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Answer: D. Let income = 5x, 7x and expenditure = 3y, 5y. Solving 5x-3y=1000 and 7x-5y=1000 gives x=500, so A's income = 2500.

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