Question
The combined cost price of two
items, X and Y, is Rs. 2800. Item X is priced 40% above its cost price, and item Y is priced 20% above its cost price. They are sold after giving discounts of 20% on X and 25% on Y. The selling price of Y is Rs. 399 higher than that of X. What is the difference between their cost prices?Solution
ATQ,
The cost price of item X is Rs. x. So, the cost price of item Y is Rs. (2800 – x). The marked price of item X is 1.4x, and its selling price is 0.8 × 1.4x = Rs. 1.12x. The marked price of item Y is 1.2 × (2800 – x), and its selling price is 0.75 × 1.2 × (2800 – x) = Rs. 0.9(2800 – x). According to the given condition: 0.9(2800 – x) – 1.12x = 399 This simplifies to: 2.02x = 2121 x = 1050 The required difference is: (2800 – x) – x = 2800 – 2x = Rs.700
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