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    Question

    Aman bought two guitars, ‘P’ and ‘Q’, with cost

    prices in the ratio 7:9, and sold them at a loss of 10% and a profit of 30%, respectively. If the total profit earned was Rs. 56, then find the price at which he sold guitar ‘Q’.
    A Rs.400.5 Correct Answer Incorrect Answer
    B Rs.222.5 Correct Answer Incorrect Answer
    C Rs.327.6 Correct Answer Incorrect Answer
    D Rs.128.25 Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the cost price of guitar ‘P’ be Rs.7y. Cost price of guitar ‘Q’ = Rs.9y. Selling price of guitar ‘P’ = 7y × 0.90 = 6.3y Selling price of guitar ‘Q’ = 9y × 1.30 = 11.7y Total profit = Solve for 'y' = 2y = 56 ⇒ y = 28 Therefore, selling price of guitar ‘Q’ = 11.7 × 28 = Rs.327.6

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