Discussion
Renu loses 15% by selling an article A for ₹ 382.50 and gains 12% by selling article B for ₹ 616. If she sells both articles for ₹ 1,180, then her percentage gain is :
Answer: B
Her gain is 18%.
First find each cost price from its selling price.
\[ \begin{aligned} CP_A &= \frac{382.50}{0.85} = 450 \\ CP_B &= \frac{616}{1.12} = 550 \end{aligned} \]
Total cost is ₹ 1,000 and both articles together sell for ₹ 1,180, so the gain is ₹ 180.
\[ \text{Gain\%} = \frac{180}{1000} \times 100 = 18\% \]
The gain must be measured on the total cost of ₹ 1,000. The other options would need gains of ₹ 170, 175 or 165, which the prices given do not produce.
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