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A store sells an item for ₹W at 20% profit. During a sale, the marked price becomes ₹1.5W and a discount of 15% is offered. What is the profit percentage during the sale?
- 27.5%
- 32.5%
- 42.5%
- 53%
Correct answer: 53%
Solution
If ₹W is sold at 20% profit, then cost price = $W/1.2$. During sale, marked price = ₹1.5W and discount = 15%, so sale price = $1.5W\times0.85=1.275W$. Profit percentage = $\frac{1.275W - W/1.2}{W/1.2}\times100 = 53\%$.
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