A shopkeeper buys 24 chocolates for ₹ 12. To gain a 20% profit, how many chocolates should he sell for ₹ 12 ?
20
The cost price per chocolate is \(\frac{12}{24} = 0.5\) rupees.
Let the shopkeeper sell \(x\) chocolates for ₹ 12, so the selling price per chocolate is \(\frac{12}{x}\) rupees.
For a 20% profit, the selling price per chocolate must equal \(0.5 \times 1.2 = 0.6\) rupees.
Setting \(\frac{12}{x} = 0.6\) gives \(x = \frac{12}{0.6} = 20\).
Hence, the shopkeeper should sell 20 chocolates for ₹ 12 to gain a 20% profit.
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