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    Question

    Selling price of article ‘A’ when sold at a profit

    of 32% is Rs. 243 more than its selling price when sold at a loss of 40%. If the cost price of article ‘B’ is Rs. 75 more than that of ‘A’, then find the cost price of article ‘B’.
    A Rs. 422.5 Correct Answer Incorrect Answer
    B Rs. 432.5 Correct Answer Incorrect Answer
    C Rs. 412.5 Correct Answer Incorrect Answer
    D Rs. 612.5 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the cost price of article ‘A’ = Rs. ‘100y’ Then, selling price of the article when it is sold at a profit of 32% = 1.32 × 100y = Rs. ‘132y’ And, selling price of the article when it is sold at a loss of 40% = 0.60 × 100y = Rs. ‘60y’ According to the question, 132y – 60y = 243 Or, y = (243/72) Or, y = 3.375 So, cost price of article ‘A’ = 100 × 3.375 = Rs. 337.5 Therefore, cost price of article ‘B’ = 337.5 + 75 = Rs. 412.5

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