Discussion
A person sold two articles A and B for ₹ 348 each. He earned a profit of 20% on A and suffered a loss of 13% on B. His profit (in ₹) in the entire transaction is
Answer: A
His profit is ₹ 6.
Find each cost price from the selling price:
\[ \begin{aligned} CP_A &= \frac{348}{1.20} = 290 \\ CP_B &= \frac{348}{0.87} = 400 \\ \text{profit} &= 696 - 690 = 6 \end{aligned} \]
The total selling price is 2 × 348 = ₹ 696 and the total cost price ₹ 690. The trap is to work the percentages on the selling price: 20% of 348 minus 13% of 348 is about ₹ 24, not an option here, and averaging the percentages gives nothing meaningful either.
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