Question 51

A shopkeeper sells an article at a certain price. What is his gain or loss percent, if by selling it at 75% of that price, he loses 10%?

Solution

Let cost price of the article be = Rs. $$100x$$ and selling price of article = Rs. $$100y$$

When sold at 75% of the price, new selling price = Rs. $$75y$$

=> Loss% = $$\frac{100x-75y}{100x}\times100=10$$

=> $$100x-75y=10x$$

=> $$90x=75y$$

=> $$\frac{x}{y}=\frac{5}{6}$$

Let $$x=5$$ and $$y=6$$

$$\therefore$$ Profit % = $$\frac{600-500}{500}\times100=20\%$$

=> Ans - (A)

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