Discussion
A fruit seller buys oranges at 2 for a rupee and sells them at 5 for 3 rupees. His gain per cent is
Answer: C
The gain is 20%.
Find the cost and selling price of one orange:
\[ \begin{aligned} \text{CP} &= \frac{1}{2} = 0.50 \\ \text{SP} &= \frac{3}{5} = 0.60 \\ \text{gain} &= \frac{0.10}{0.50} \times 100 = 20\% \end{aligned} \]
Equivalently, 10 oranges cost Rs. 5 and sell for Rs. 6. Measuring the gain of 10 paise against the selling price instead gives about 16.7%, which is not offered.
Taking the LCM of 2 and 5, ten oranges cost Rs. 5 and sell for Rs. 6, a gain of Re. 1 on Rs. 5, which is the same 20%.
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