A's income is $25\%$ more than B's. B's income is what percent less than A's? (round to 2 decimals)

A's income is $25\%$ more than B's. B's income is what percent less than A's? (round to 2 decimals)
  1. $20\%$
  2. $25\%$
  3. $22.50\%$
  4. $33.33\%$

Solution

Let $B = 100$. Then $A = 125$. $B$ is $\dfrac{125 - 100}{125} \times 100\% = \dfrac{25}{125} \times 100\% = 20\%$ less than $A$.

Asked in: IMO

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