Question
A shopkeeper makes a net profit of 38% on selling an article at successive discount of 25% and 8%, respectively. Find the net profit percentage, if the shopkeeper sells the same article at 18% discount.
Solution
Let the cost price of the article be Rs. '100x'. So, the selling price = 100x X 1.38 = Rs. '138x' Now, marked price of the article = (138x ÷ 0.92) ÷ 0.75 = 150x ÷ 0.75 = Rs. '200x' ATQ, new selling price of the article = 200x X 0.82 = Rs. '164x' So, required profit percentage = {(164x – 100x)/100x} x 100 = 64%
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