A line graph of cost ($\rupee$) vs. number of pencils $n$ is a straight line through the origin. If $4$…

A line graph of cost ($\rupee$) vs. number of pencils $n$ is a straight line through the origin. If $4$ pencils cost $\rupee\,12$, the cost of $9$ pencils is:
  1. $\rupee\,21$
  2. $\rupee\,24$
  3. $\rupee\,27$
  4. $\rupee\,30$

Solution

Unit cost $=12/4 = \rupee\,3$ per pencil. So $9$ pencils cost $9 \times 3 = \rupee\,27$.

Asked in: IMO

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