Single correct option
Ravi's monthly salary is 25% more than Sohan's. By what percentage is Sohan's salary less than Ravi's?
- A. 18%
- B. 22.5%
- C. 20%
- D. 25%
Show answer and solution
Answer: (C) 20%
Let Sohan's salary be 100, so Ravi's is 125. Sohan's salary is less than Ravi's by 25, and this must be expressed as a percentage of Ravi's salary (the base of comparison): 25/125 × 100 = 20%.
Why not 25%? That is the percentage relative to Sohan's salary, i.e. the wrong base.
Shortcut: if A is x% more than B, B is x/(100 + x) × 100 % less than A. Here 25/125 × 100 = 20%.
Why not 25%? That is the percentage relative to Sohan's salary, i.e. the wrong base.
Shortcut: if A is x% more than B, B is x/(100 + x) × 100 % less than A. Here 25/125 × 100 = 20%.
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