Ratio & Proportion

JKSSB Junior Engineer (Mechanical) · Mathematics · 106 practice questions with answers and explanations: 61 Easy, 43 Medium, 2 Hard.

Sample questions

Sample Easy question 1

If a:b = 5:9 and b = 63, find a.

  1. 33
  2. 30
  3. 32
  4. 35
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Answer: D. a = 63 × 5/9 = 35.

Sample Easy question 2

Divide Rs. 350 between A and B in the ratio 2:3. Find A's share.

  1. 140
  2. 130
  3. 135
  4. 138
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Answer: A. A's share = (2/5) × 350 = 140.

Sample Easy question 3

Divide Rs. 250 between A and B in the ratio 3:2. Find A's share.

  1. 150
  2. 140
  3. 145
  4. 148
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Answer: A. A's share = (3/5) × 250 = 150.

Sample Medium question 4

Two numbers are in the ratio 3:4. If each is increased by 10, the ratio becomes 4:5. Find the larger number.

  1. 40
  2. 38
  3. 42
  4. 36
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Answer: A. Solving 5(3x+10) = 4(4x+10) gives x=10, so the larger number is 4×10 = 40.

Sample Medium question 5

Two numbers are in the ratio 5:6. If each is increased by 4, the ratio becomes 6:7. Find the larger number.

  1. 26
  2. 22
  3. 24
  4. 20
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Answer: C. Solving 7(5x+4) = 6(6x+4) gives x=4, so the larger number is 6×4 = 24.

Sample Medium question 6

A, B and C share a profit in the ratio of 1/2:1/3:1/4. If C gets Rs. 300, find the total profit.

  1. 1200
  2. 1250
  3. 1300
  4. 1350
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Answer: C. Clearing fractions, the ratio is 6:4:3; C's 3 parts = 300, so 1 part = 100 and total (13 parts) = 1300.

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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