If the cost price of $20$ articles equals the selling price of $16$ articles, the profit percent is

If the cost price of $20$ articles equals the selling price of $16$ articles, the profit percent is
  1. $20\%$
  2. $25\%$
  3. $30\%$
  4. $80\%$

Solution

Let CP of $1$ article $= 1$. Then $20$ CPs $= 20$ = SP of $16$ articles, so SP per article $= \dfrac{20}{16} = 1.25$. Profit\% $= \dfrac{1.25 - 1}{1} \times 100 = 25\%$.

Asked in: IMO

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