If A's salary is $20\%$ less than B's, by what percent is B's salary more than A's?

If A's salary is $20\%$ less than B's, by what percent is B's salary more than A's?
  1. $20\%$
  2. $22.5\%$
  3. $25\%$
  4. $33\dfrac{1}{3}\%$

Solution

Let $B = 100$, then $A = 80$. $B$ exceeds $A$ by $\dfrac{20}{80} \times 100\% = 25\%$.

Asked in: IMO

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