Discussion
If the selling price of 12 articles is equal to the cost price of 15 articles, find the gain per cent.
Answer: D
The gain is 25%.
Let the cost price of one article be Rs. 1. Then 12 articles sell for the cost of 15, Rs. 15, while they cost Rs. 12.
\[ \begin{aligned} \text{gain} &= 15 - 12 = 3 \\ \text{gain}\,\% &= \frac{3}{12} \times 100 = 25\% \end{aligned} \]
The common slip is to divide the gain by 15, the larger number, which gives 20%: gain per cent is always reckoned on the cost price of the articles actually sold, here 12. 10% and 15% match no step of the working.
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