Question
The marked price and the selling
price of an item are in the ratio of 5:4. If the % discount offered is equal to the % profit earned, what is the ratio of the cost price to the marked price of the item?Solution
ATQ, Let the marked price of the item be Rs. '15p' So, selling price of the item = 5p × (4/5) = Rs. '12p' So, discount % = {(15p - 12p)/15p} × 100 = 20% So, cost price of the article = 12p ÷ 1.2 = Rs. '10p' So, required ratio = 10p:15p = 2:3
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