Question
The ratio between the marked price and the cost price of
an article is 5: 3. If the selling price of the article is ₹3,024 and the shopkeeper gave two successive discounts of 16% and 20%, then how much is the profit or loss (in ₹)?Solution
Let the common ratio be x. Hence, the marked and cost price of the article are 5x and 3x respectively. Final discount percentage after two successive discounts of A% and B% = (16+20 -(16 × 20) /100) % = 32.8% According to the question, 5x x (1-0.328) = 3024 5x = 4500 x = 900 3x = 2700 Hence, profit made = 3024/2700 = Rs. 324 The profit is Rs. 324
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