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Quantitative Aptitude

Profit, Loss & Discount

A shopkeeper ...

Question

A shopkeeper marks up the price of an item by 40%. If he wants to earn a profit of 5%, what is the maximum discount he can give on that item?

A

35%

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B

20%

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C

28%

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D

25%

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Solution

The correct option is D 25%
Let the cost price of the product be = x
Then the marked price will be = 1.4x
Maximum allowable discount $= 1.4 x (1 - \frac{k}{100}) = 1.05 x$
$\Rightarrow 1.4 x \times \frac{k}{100} = 0.35 x$
$\Rightarrow k = 0.35 \times \frac{100}{1.4} = 25$

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