A line graph of cost vs. number of pens shows: $1$ pen costs $\rupee\,5$, $2$ pens cost $\rupee\,10$, $3$…

A line graph of cost vs. number of pens shows: $1$ pen costs $\rupee\,5$, $2$ pens cost $\rupee\,10$, $3$ pens cost $\rupee\,15$. The cost of $7$ pens is:
  1. $\rupee\,30$
  2. $\rupee\,32$
  3. $\rupee\,35$
  4. $\rupee\,40$

Solution

Cost is directly proportional, $\rupee\,5$ per pen. $7 \times 5 = 35$.

Asked in: IMO

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