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SSC & BANK EXAMS: QUANTITATIVE APTITUDE · PERCENTAGES

If A is x% more than B, B is how much % less than A

If A is x% more than B, then B is x/(100 + x) × 100 % less than A. If A is x% less, B is x/(100 − x) × 100 % more.

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Worked examples

Example 1 · level 1

Harpreet's monthly salary is 50% more than Saanvi's. By what percentage is Saanvi's salary less than Harpreet's? (rounded to 2 decimal places)

  1. 36.33%
  2. 100%
  3. 33.33%
  4. 50%
Show solution
  1. Let Saanvi's salary be 100. Then Harpreet's salary is 150.
  2. Difference = 50, compared with Harpreet's 150.
  3. 50/150 × 100 = 33.33%.

Answer: 33.33%

Example 2 · level 2

Diya's monthly salary is 10% more than Tenzin's. By what percentage is Tenzin's salary less than Diya's? (rounded to 2 decimal places)

  1. 90%
  2. 11.11%
  3. 9.09%
  4. 10%
Show solution
  1. Let Tenzin's salary be 100. Then Diya's salary is 110.
  2. Difference = 10, compared with Diya's 110.
  3. 10/110 × 100 = 9.09%.

Answer: 9.09%

Example 3 · level 3

Fatima's monthly salary is 40% more than Ayaan's. By what percentage is Ayaan's salary less than Fatima's? (rounded to 2 decimal places)

  1. 60%
  2. 66.67%
  3. 28.57%
  4. 40%
Show solution
  1. Let Ayaan's salary be 100. Then Fatima's salary is 140.
  2. Difference = 40, compared with Fatima's 140.
  3. 40/140 × 100 = 28.57%.

Answer: 28.57%

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