A trader sold $\dfrac{2}{3}$ of his goods at a profit of $15\%$ and the rest at a profit of $9\%$. His…

A trader sold $\dfrac{2}{3}$ of his goods at a profit of $15\%$ and the rest at a profit of $9\%$. His overall profit percent (computed on total CP) is
  1. $11\%$
  2. $12\%$
  3. $13\%$
  4. $14\%$

Solution

Weighted profit\% $= \dfrac{2}{3}(15) + \dfrac{1}{3}(9) = 10 + 3 = 13\%$ on total CP.

Asked in: IMO

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