If $A$ is $20\%$ more than $B$ and $B$ is $25\%$ more than $C$, then $A$ is what percent more than $C$?

If $A$ is $20\%$ more than $B$ and $B$ is $25\%$ more than $C$, then $A$ is what percent more than $C$?
  1. $45\%$
  2. $50\%$
  3. $55\%$
  4. $30\%$

Solution

Let $C = 100$. Then $B = 125$ and $A = 125 \times 1.20 = 150$. So $A$ is $50\%$ more than $C$.

Asked in: IMO

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