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    Question

    The list price of product A is Rs. 80 less than the

    selling price of product B. The list price of product B is 60% higher than the selling price of product A. If the list prices of A and B are in the ratio 1:2, and the selling price of A is Rs. 40 lower than that of B, determine the discount given on product B.
    A Rs.80 Correct Answer Incorrect Answer
    B Rs.42 Correct Answer Incorrect Answer
    C Rs.24 Correct Answer Incorrect Answer
    D Rs.55 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    let SP of B = x, SP of A = y MP(A) = (x βˆ’ 80) MP(B) = 1.6y (x βˆ’ 80) / 1.6y = 1/2 β‡’ 2x βˆ’ 160 = 1.6y β‡’ x βˆ’ 0.8y = 80 ...(I) Also, x βˆ’ y = 40 ...(II) Subtracting: (II) βˆ’ (I) β‡’ βˆ’0.2y = βˆ’40 β‡’ y = 200 Then x = 240 Discount on B = 1.6y βˆ’ x = 320 βˆ’ 240 = Rs. 80

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