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    Question

    The selling price of a piece of furniture when sold at a

    profit of 18% is Rs. 54 more than its selling price when sold at a loss of 12%. What will be the selling price of the furniture if it is sold at a profit of 22%?
    A Rs.219.60 Correct Answer Incorrect Answer
    B Rs.185.90 Correct Answer Incorrect Answer
    C Rs.346.15 Correct Answer Incorrect Answer
    D Rs.136.80 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the cost price of the furniture = Rs. '100y'

    According to the question,

    100y × 1.18 - 100y × 0.88 = 54

    Or, 118y - 88y = 30y = 54

    So, y = (54/30) = 1.8

    Cost price of the furniture = 1.8 × 100 = Rs. 180

    Required selling price = 180 × 1.22 = Rs. 219.60

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