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    Question

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

    of 40% is Rs. 270 more than its selling price when sold at a loss of 40%. If the cost price of article β€˜B’ is Rs. 72 more than that of β€˜A’, then find the cost price of article β€˜B’.
    A Rs. 309.5 Correct Answer Incorrect Answer
    B Rs. 419.5 Correct Answer Incorrect Answer
    C Rs. 409.5 Correct Answer Incorrect Answer
    D Rs. 400.5 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 40% = 1.40 Γ— 100y = Rs. β€˜140y’ And, selling price of the article when it is sold at a loss of 40% = 0.60 Γ— 100y = Rs. β€˜60y’ According to the question, 140y – 60y = 270 Or, y = (270/80) Or, y = 3.375 So, cost price of article β€˜A’ = 100 Γ— 3.375 = Rs. 337.5 Therefore, cost price of article β€˜B’ = 337.5 + 72 = Rs. 409.5

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