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CAT 2017 Slot 2 · Quant · Percentages · easy

Ravi's monthly salary is 25% more than Sunil's. By what percentage is Sunil's salary less than Ravi's?

Single correct option

Ravi's monthly salary is 25% more than Sunil's. By what percentage is Sunil's salary less than Ravi's?
  1. A. 18%
  2. B. 20%
  3. C. 22.5%
  4. D. 25%
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Answer: (B) 20%

Let Sunil's salary be 100, so Ravi's is 125. Sunil's salary is less by 25, and the comparison is made against Ravi's salary (the base is 125).

Percentage = 25/125 × 100 = 20%.

Tip: if A is r% more than B, then B is r/(100 + r) × 100 % less than A. Here 25/125 = 1/5 = 20%. Option 25% is the classic trap of using the wrong base.
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Original question written in the CAT 2017 Slot 2 pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake