Discussion
The marked price of an article is ₹ 840. A shopkeeper gives a discount of 15% on the marked price and still makes a profit of 19%. What is the cost price of the article ?
Answer: C
The cost price is ₹ 600.
First find the selling price after the 15% discount, then remove the 19% profit from it.
\[ \begin{aligned} \text{SP} &= 840 \times 0.85 = 714 \\ \text{CP} &= \frac{714}{1.19} = 600 \end{aligned} \]
Check: a 19% profit on ₹ 600 is ₹ 114, and \(600 + 114 = 714\).
A common slip is to take 19% off the selling price (\(714 \times 0.81 \approx 578\)), which lands near ₹ 580; profit is a percentage of the cost price, not of the selling price.
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