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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