Question : By selling 35 articles, a shopkeeper gains the selling price of 15 articles. Find his gain percentage.
Option 1: 88%
Option 2: 40%
Option 3: 75%
Option 4: 60%
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Correct Answer: 75%
Solution : Given: Selling 35 articles, the shopkeeper gains the selling price of 15 articles. We know that, Selling price = Cost price + Profit Let the selling price of an article be denoted SP and the cost price as CP. ⇒ 35SP = 35CP + 15SP ⇒ 20SP = 35CP ⇒ SP = $\frac{7}{4}$ CP The gain is then given by: Gain = SP – CP = $\frac{7}{4}$CP – CP = $\frac{3}{4}$ CP Profit percentage = $\frac{\text{Selling price – Cost price}}{\text{Cost price}}×100=\frac{3}{4}\times100 = 75$% Hence, the correct answer is 75%.
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