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    Question

    The marked price of item A is Rs. 90 less than the

    selling price of item B. The marked price of item B is 80% more than the selling price of item A. If the marked prices of A and B are in the ratio 1:3, and the selling price of A is Rs. 50 less than that of B, find the discount allowed on selling item B.
    A Rs.30 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 тИТ 90) MP(B) = 1.8y (x тИТ 90) / 1.8y = 1/3 тЗТ 3x тИТ 270 = 1.8y тЗТ x тИТ 0.6y = 90 ...(I) Also, x тИТ y = 50 ...(II) Subtracting: (II) тИТ (I) тЗТ тИТ0.4y = тИТ40 тЗТ y = 100 Then x = 150 Discount on B = 1.8y тИТ x = 180 тИТ 150 = Rs. 30

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