Question : By selling 50 items, a shopkeeper gains the selling price of 10 items. What is his gain percentage?
Option 1: 10%
Option 2: 15%
Option 3: 25%
Option 4: 40%
Correct Answer: 25%
Solution :
Given: By selling 50 items, a shopkeeper gains the selling price (SP) of 10 items.
Let the selling price of one item be Rs. $x$.
The total selling price = Rs. $50x$
Profit = Rs. $10x$
The total cost price $=50x-10x=40x$
The gain percentage $=\frac{\text{Profit}}{\text{Cost price}}×100=\frac{10x}{40x}\times100=25$%
Hence, the correct answer is 25%.
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