Percentage

JKSSB Assistant Training Officer (Handicrafts & Handlooms) · Numerical Ability · 96 practice questions with answers and explanations: 49 Easy, 44 Medium, 3 Hard.

Sample questions

Sample Easy question 1

If 20% of a number is 60, find the number.

  1. 300
  2. 280
  3. 320
  4. 250
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Answer: A. Number = 60 / 0.20 = 300.

Sample Easy question 2

Express 3/4 as a percentage.

  1. 80%
  2. 75%
  3. 70%
  4. 65%
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Answer: B. 3/4 = 0.75 = 75%.

Sample Easy question 3

A student scored 45 out of 60 marks. Find the percentage scored.

  1. 72%
  2. 75%
  3. 78%
  4. 70%
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Answer: B. Percentage = 45/60 × 100 = 75%.

Sample Medium question 4

A salary is increased by 20% and then decreased by 20%, and the result is Rs. 4800 less than the original. Find the original salary.

  1. 115000
  2. 110000
  3. 125000
  4. 120000
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Answer: D. Net factor = 0.96, so a 4% decrease equals 4800, giving original = 4800/0.04 = 120,000.

Sample Medium question 5

The price of petrol increases by 25%. A man wants his expenditure to increase by only 10%. By what percent should he reduce his consumption?

  1. 14%
  2. 12%
  3. 15%
  4. 10%
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Answer: B. Original expenditure=100, new price=1.25, desired new expenditure=110, new quantity=110/1.25=88, a 12% reduction.

Sample Medium question 6

Two numbers are 25% and 60% more than a third number respectively. Find by what percent the second number is more than the first.

  1. 28%
  2. 30%
  3. 25%
  4. 26%
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Answer: A. Numbers are 1.25x and 1.6x; difference% = (1.6-1.25)/1.25 × 100 = 28%.

Sample Hard question 7

In an election with two candidates, 10% of the votes were declared invalid. The winning candidate got 60% of the valid votes and won by 9,720 votes. Find the total number of votes polled.

  1. 48,000
  2. 44,000
  3. 40,000
  4. 54,000
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Answer: D. Valid votes = 90% of total. Winner's margin = 20% of valid votes = 9720, so valid votes = 48,600. Total votes = 48,600/0.9 = 54,000.

Sample Hard question 8

A trader increases the marked price of goods by 40% above cost, then offers successive discounts of 20% and 10%. Find his net profit percentage.

  1. 0.8%
  2. 1%
  3. 0.5%
  4. 1.2%
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Answer: A. CP=100, MP=140, after 20% discount=112, after 10% discount=100.8, so profit is 0.8%.

Sample Hard question 9

72% of candidates passed in Physics and 68% passed in Chemistry, while 8% failed in both. If 240 candidates passed in both, find the total number of candidates.

  1. 500
  2. 480
  3. 510
  4. 490
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Answer: A. Pass in at least one = 92%. Pass in both% = 72+68-92 = 48%. 48% of total = 240, so total = 500.

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