Question
The combined cost price of two
items, P and Q, is Rs. 10,000. The cost price of Q is equal to the selling price of P. Item P is marked up by 30% and item Q is marked up by 40% above their respective cost prices. The discount offered on both items is the same, and item Q is sold for Rs. 7350. Determine the discount offered on both items.Solution
ATQ, Let the cost price of item ‘P’ be Rs. ‘x’. Therefore, cost price of item ‘Q’ and selling price of item ‘P’ = Rs. (10000 – x) Marked price of item ‘P’ = Rs. 1.3x Discount offered on item ‘P’ = 1.3x – (10000 – x) = Rs. (2.3x – 10000) Marked price of item ‘Q’ = Rs. 1.4(10000 – x) Selling price of item ‘Q’ = 1.4(10000 – x) – (2.3x – 10000) = Rs. (24000 – 3.7x) According to the question, 24000 – 3.7x = 7350 Or, 3.7x = 16650 Or, x = 16650/3.7 = Rs. 4500 Therefore, discount offered on each item = (2.3x – 10000) = Rs. 350
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