Question
Suppose a shopkeeper offers a 10% discount on the marked
price of an item and still earns a 10% profit. If the discount had not been applied, what would the approximate profit percentage be?Solution
Let the cost price of the article be Rs. '100x' So, selling price of the article = '100x' X 1.1 = Rs. '110x' ATQ: Marked price of the article X 0.9 = Rs. '110x' Or, marked price of the article = '110x' ÷ 0.9 = Rs. '122.22x' ≈ Rs. '122x' Now, Profit received when no discount was given = '122x' - '100x' = Rs. '22x' Required profit percentage = (22x/100x) X 100 = 22%
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