Percentage

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

Sample questions

Sample Easy question 1

What percent of 50 is 10?

  1. 30%
  2. 20%
  3. 25%
  4. 15%
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Answer: B. (10/50) × 100 = 20%.

Sample Easy question 2

Find 9% of 900.

  1. 81
  2. 82
  3. 80
  4. 79
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Answer: A. 9% of 900 = 81.

Sample Easy question 3

A price of Rs. 250 is increased by 12%. Find the new price.

  1. 280
  2. 285
  3. 275
  4. 270
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Answer: A. 250 × 1.12 = 280.

Sample Medium question 4

In an election between two candidates, the winner got 60% of the votes and won by 200 votes. Find the total number of votes polled.

  1. 900
  2. 1100
  3. 1200
  4. 1000
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Answer: D. Winner's margin = 60% - 40% = 20% of total = 200, so total = 200/0.20 = 1000.

Sample Medium question 5

The price of an item increases by 20% and then by 10%. Find the overall percentage increase.

  1. 32%
  2. 33%
  3. 30%
  4. 31%
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Answer: A. Combined increase = (1.20 × 1.10 - 1) × 100 = (1.32-1) × 100 = 32%.

Sample Medium question 6

A number is first increased by 30% and then decreased by 20%. Find the net percentage change.

  1. 8% increase
  2. 4% increase
  3. 6% increase
  4. 2% increase
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Answer: B. Net change = (1.30 × 0.80 - 1) × 100 = (1.04-1) × 100 = 4% increase.

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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