Question : A person bought some pens at the rate of 25 for a rupee and sold them at the rate of 20 for the rupee. What is the profit percentage?
Option 1: 30 percent
Option 2: 10 percent
Option 3: 25 percent
Option 4: 15 percent
Correct Answer: 25 percent
Solution :
The cost of each pen (CP) = $\frac{1}{25}$
The selling price of each pen (SP) = $\frac{1}{20}$P
Profit per pen = Selling Price per pen − Cost Price per pen = $(\frac{1}{20}) – (\frac{1}{25}) = (\frac{1}{100})$
⇒ Profit Percentage = $\frac{\text{Profit}}{\text{Cost price}}×100$ = ($\frac{\frac{1}{100}}{\frac{1}{25}})×100$ = $(\frac{1}{100}$ ×$\frac{1}{25})$ = $\frac{25}{100}$ × 100 = 25%
Hence, the correct answer is 25%.
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