Question : Ten articles were bought for Rs. 8 and sold at 8 for Rs. 10. The gain percentage is:
Option 1: 54.75%
Option 2: 57.25%
Option 3: 56.25%
Option 4: 55%
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Correct Answer: 56.25%
Solution :
Given:
The cost price of 10 books is Rs. 8.
The selling price of 8 books is Rs. 10.
Profit percentage = $\frac{\text{Selling price – Cost price}}{\text{Cost price}} × 100$
Let 40 books (LCM of 8 and 10) be bought.
Cost price of 40 books = Rs. $(\frac{8×40}{10})$ = Rs. 32
Their selling price = Rs. $(\frac{10×40}{8})$ = Rs. 50
The profit percentage = $(\frac{50-32}{32})$ × 100 = 56.25%
Hence, the correct answer is 56.25%.
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