Percentage

Ladakh Police Sub-Inspector · Mathematics · 96 practice questions with answers and explanations: 49 Easy, 44 Medium, 3 Hard.

Sample questions

Sample Easy question 1

What is 8% of 200?

  1. 18
  2. 14
  3. 16
  4. 15
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Answer: C. 8% of 200 = 16.

Sample Easy question 2

Find 75% of 400.

  1. 280
  2. 300
  3. 290
  4. 310
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Answer: B. 75% of 400 = 300.

Sample Easy question 3

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

  1. 75%
  2. 70%
  3. 80%
  4. 72%
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Answer: A. (45/60) × 100 = 75%.

Sample Medium question 4

If 20% of A = 30% of B, find the ratio A:B.

  1. 3:2
  2. 4:5
  3. 1:2
  4. 2:3
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Answer: A. 0.2A = 0.3B gives A/B = 3/2, i.e. A:B = 3:2.

Sample Medium question 5

A student needs 40% marks to pass. He gets 150 marks and fails by 30 marks. Find the maximum marks.

  1. 420
  2. 400
  3. 460
  4. 450
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Answer: D. Passing marks = 150+30 = 180, which is 40% of the max, so max = 180/0.4 = 450.

Sample Medium question 6

Out of a total of 800 students, 65% passed. Find the number of students who failed.

  1. 290
  2. 280
  3. 270
  4. 260
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Answer: B. Failed = 35% of 800 = 280.

Sample Hard question 7

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.

Sample Hard question 8

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 9

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%.

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