Question
The combined cost price of two products, P and Q, is Rs.
5000. Product P is marked up by 25% on its cost and Product Q is marked up by 40%. After giving discounts of 10% on P and 20% on Q, the selling price of product Q becomes Rs. 620 more than that of product P. What is the difference in their cost prices?Solution
ATQ,
Let the cost price of product P be Rs. x Therefore, cost price of product Q = Rs. (5000 – x) Marked price of product P = Rs. 1.25x Selling price of product P = 0.9 × 1.25x = Rs. 1.125x Marked price of product Q = Rs. 1.4(5000 – x) Selling price of product Q = 0.8 × 1.4(5000 – x) = Rs. 1.12(5000 – x) According to the question, 1.12(5000 – x) – 1.125x = 620 Or, 5600 – 1.12x – 1.125x = 620 Or, 2.245x = 4980 Or, x = 2218 Required difference = (5000 – x) – x = 5000 – 2x = Rs. 564
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