Question : A person bought pens at 25 for a rupee and sold them at 15 for a rupee. What is his profit percentage?
Option 1: $16\frac{2}{3}$%
Option 2: $33\frac{1}{3}$%
Option 3: $66\frac{2}{3}$%
Option 4: $40$%
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Correct Answer: $66\frac{2}{3}$%
Solution : The cost price of 25 pens = INR 1 ⇒ The cost price of 1 pen = INR $\frac{1}{25}$ Also, the selling price of 15 pens = INR 1 ⇒ The selling price of 1 pen = INR $\frac{1}{15}$ Profit = Selling price – Cost price = $\frac{1}{15}$ – $\frac{1}{25}$ = $\frac{5-3}{75}$ = $\frac{2}{75}$ So, profit percentage = $\frac{\text{Profit}}{\text{Cost price}}\times 100$ = $\frac{\frac{2}{75}}{\frac{1}{25}}\times 100$ = $\frac{200}{3}$ = $66\frac{2}{3}$% Hence, the correct answer is $66\frac{2}{3}$%.
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