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 βPβ be Rs. βxβ. Therefore, cost price of item βQβ and selling price of item βPβ = Rs. (10000 β x) Marked price of item βPβ = Rs. 1.3x Discount offered on item βPβ = 1.3x β (10000 β x) = Rs. (2.3x β 10000) Marked price of item βQβ = Rs. 1.4(10000 β x) Selling price of item βQβ = 1.4(10000 β x) β (2.3x β 10000) = Rs. (24000 β 3.7x) According to the question, 24000 β 3.7x = 7350 Or, 3.7x = 16650 Or, x = 16650/3.7 = Rs. 4500 Therefore, discount offered on each item = (2.3x β 10000) = Rs. 350
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