Percentage

LSSSSB Non-Technical · Mathematics · 96 practice questions with answers and explanations: 49 Easy, 44 Medium, 3 Hard.

Sample questions

Sample Easy question 1

If 30% of x = 90, find x.

  1. 290
  2. 270
  3. 280
  4. 300
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Answer: D. x = 90/0.3 = 300.

Sample Easy question 2

Convert 0.35 to a percentage.

  1. 32%
  2. 38%
  3. 30%
  4. 35%
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Answer: D. 0.35 = 35%.

Sample Easy question 3

90 is 30% of what number?

  1. 310
  2. 300
  3. 290
  4. 280
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Answer: B. Number = 90/0.3 = 300.

Sample Medium question 4

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 Medium question 5

A shopkeeper marks up goods by 30% and then gives a discount of 10%. Find his overall profit percentage.

  1. 16%
  2. 18%
  3. 15%
  4. 17%
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Answer: D. Taking CP=100, MP=130, SP=130×0.9=117, so profit is 17%.

Sample Medium question 6

If the length of a rectangle is increased by 20% and the breadth is decreased by 20%, find the net percentage change in area.

  1. -2%
  2. -4%
  3. 0%
  4. -5%
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Answer: B. Net factor = 1.2 × 0.8 = 0.96, i.e. a 4% decrease.

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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