A sells an item to B at a profit of $20\%$ and B sells it to C at a profit of $10\%$. If C pays Rs. $1{…

A sells an item to B at a profit of $20\%$ and B sells it to C at a profit of $10\%$. If C pays Rs. $1{,}320$, the cost price for A was
  1. Rs. $1{,}000$
  2. Rs. $1{,}100$
  3. Rs. $1{,}200$
  4. Rs. $1{,}250$

Solution

Let CP for A $= x$. C pays $x \times 1.20 \times 1.10 = 1.32 x = 1320 \Rightarrow x = 1000$.

Asked in: IMO

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