Discussion
A man sold two articles for ₹ 850 each. On one article, he earns a profit of 25% and on the other article, he suffers a loss of 15%. What is his overall profit ?
Answer: B
His overall profit is ₹ 20.
Find each cost price from the selling price of ₹ 850:
\[ \begin{aligned} CP_{1} &= \frac{850}{1.25} = 680 \\ CP_{2} &= \frac{850}{0.85} = 1000 \end{aligned} \]
\[ \begin{aligned} \text{Total CP} &= 680 + 1000 = 1680 \\ \text{Total SP} &= 2 \times 850 = 1700 \\ \text{Profit} &= 1700 - 1680 = 20 \end{aligned} \]
The trap is to take 25% and 15% of the same amount and conclude a 10% gain. The percentages apply to different cost prices, so the profit of ₹ 170 on the first article is almost cancelled by the loss of ₹ 150 on the second.
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