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 =1.4x(1−k100)=1.05x ⇒1.4x×k100=0.35x ⇒k=0.35×1001.4=25