If $x$ is increased by $10\%$, then by $20\%$, then by $30\%$, the net percentage increase (rounded to 2…

If $x$ is increased by $10\%$, then by $20\%$, then by $30\%$, the net percentage increase (rounded to 2 decimals) is
  1. $60.00\%$
  2. $71.60\%$
  3. $66.00\%$
  4. $72.50\%$

Solution

Net factor $= 1.10 \times 1.20 \times 1.30 = 1.716$. So net increase $= (1.716 - 1) \times 100\% = 71.60\%$.

Asked in: IMO

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