Percentage

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

Sample questions

Sample Easy question 1

Express 1/5 as a percentage.

  1. 20%
  2. 15%
  3. 30%
  4. 25%
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Answer: A. 1/5 = 0.20 = 20%.

Sample Easy question 2

A number increased by 10% becomes 220. Find the original number.

  1. 195
  2. 200
  3. 190
  4. 210
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Answer: B. 220 = 110% of the number, so number = 220/1.1 = 200.

Sample Easy question 3

A number decreased by 25% becomes 150. Find the original number.

  1. 210
  2. 190
  3. 180
  4. 200
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Answer: D. 150 = 75% of the number, so number = 150/0.75 = 200.

Sample Medium question 4

A man spends 20% of his monthly salary on rent and 20% of the remaining amount on food. If his salary is Rs. 36000, how much is left with him after these two expenses?

  1. Rs. 28800
  2. Rs. 23040
  3. Rs. 24040
  4. Rs. 22440
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Answer: B. Rent = Rs. 7200; remaining = Rs. 28800; food = 20% of 28800 = Rs. 5760; left = Rs. 23040.

Sample Medium question 5

A man spends 20% of his monthly salary on rent and 20% of the remaining amount on food. If his salary is Rs. 40000, how much is left with him after these two expenses?

  1. Rs. 26600
  2. Rs. 25600
  3. Rs. 25000
  4. Rs. 32000
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Answer: B. Rent = Rs. 8000; remaining = Rs. 32000; food = 20% of 32000 = Rs. 6400; left = Rs. 25600.

Sample Medium question 6

A man spends 30% of his monthly salary on rent and 20% of the remaining amount on food. If his salary is Rs. 20000, how much is left with him after these two expenses?

  1. Rs. 12200
  2. Rs. 14000
  3. Rs. 11200
  4. Rs. 10600
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Answer: C. Rent = Rs. 6000; remaining = Rs. 14000; food = 20% of 14000 = Rs. 2800; left = Rs. 11200.

Sample Hard question 7

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 8

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 9

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.

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