Ratio & Proportion

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

Sample questions

Sample Easy question 1

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 2

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 Easy question 3

Find the ratio of 250 g to 1 kg.

  1. 1:4
  2. 1:5
  3. 1:3
  4. 1:2
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Answer: A. 1 kg = 1000 g, so ratio = 250:1000 = 1:4.

Sample Medium question 4

A certain sum is divided among A, B and C such that A gets 2/3 of what B gets, and B gets 3/4 of what C gets. If C gets Rs. 960, find A's share.

  1. 450
  2. 480
  3. 420
  4. 500
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Answer: B. B = (3/4)×960 = 720. A = (2/3)×720 = 480.

Sample Medium question 5

The ratio of the volumes of two cubes is 27:64. Find the ratio of their surface areas.

  1. 10:17
  2. 3:4
  3. 9:16
  4. 8:15
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Answer: C. Volume ratio 27:64 gives a side ratio of 3:4, so the surface area ratio (side²) is 9:16.

Sample Medium question 6

If a:b = 2:3 and b:c = 5:7, find a:c.

  1. 10:21
  2. 10:23
  3. 12:23
  4. 12:21
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Answer: A. a:c = (2×5):(3×7) = 10:21.

Sample Hard question 7

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.

Sample Hard question 8

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.

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