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    Question

    Selling price of article тАШAтАЩ 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 тАШBтАЩ is Rs. 80 more than that of тАШAтАЩ, then find the cost price of article тАШBтАЩ.
    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 тАШAтАЩ = Rs. тАШ100yтАЩ Then, selling price of the article when it is sold at a profit of 25% = 1.25 ├Ч 100y = Rs. тАШ125yтАЩ And, selling price of the article when it is sold at a loss of 55% = 0.45 ├Ч 100y = Rs. тАШ45yтАЩ According to the question, 125y тАУ 45y = 250 Or, y = (250/80) Or, y = 3.125 So, cost price of article тАШAтАЩ = 100 ├Ч 3.125 = Rs. 312.5 Therefore, cost price of article тАШBтАЩ = 312.5 + 80 = Rs. 392.5

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