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    Question

    Selling price of article β€˜A’ when sold at a profit

    of 25% is Rs. 250 more than its selling price when sold at a loss of 55%. If the cost price of article β€˜B’ is Rs. 80 more than that of β€˜A’, then find the cost price of article β€˜B’.
    A Rs. 372.5 Correct Answer Incorrect Answer
    B Rs. 342.5 Correct Answer Incorrect Answer
    C Rs. 392.5 Correct Answer Incorrect Answer
    D Rs. 312.5 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the cost price of article β€˜A’ = Rs. β€˜100y’ Then, selling price of the article when it is sold at a profit of 25% = 1.25 Γ— 100y = Rs. β€˜125y’ And, selling price of the article when it is sold at a loss of 55% = 0.45 Γ— 100y = Rs. β€˜45y’ According to the question, 125y – 45y = 250 Or, y = (250/80) Or, y = 3.125 So, cost price of article β€˜A’ = 100 Γ— 3.125 = Rs. 312.5 Therefore, cost price of article β€˜B’ = 312.5 + 80 = Rs. 392.5

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