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    Question

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

    of 55% is Rs. 200 more than its selling price when sold at a loss of 45%. 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. 200 Correct Answer Incorrect Answer
    B Rs. 240 Correct Answer Incorrect Answer
    C Rs. 280 Correct Answer Incorrect Answer
    D Rs. 290 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 55% = 1.55 Γ— 100y = Rs. β€˜155y’ And, selling price of the article when it is sold at a loss of 45% = 0.55 Γ— 100y = Rs. β€˜55y’ According to the question, 155y – 55y = 200 Or, y = (200/100) Or, y = 2 So, cost price of article β€˜A’ = 100 Γ— 2 = Rs. 200 Therefore, cost price of article β€˜B’ = 200 + 80 = Rs. 280

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