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    Question

    Selling price of article тАШAтАЩ when sold at a profit

    of 45% is Rs. 260 more than its selling price when sold at a loss of 35%. 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. 415 Correct Answer Incorrect Answer
    B Rs. 425 Correct Answer Incorrect Answer
    C Rs. 435 Correct Answer Incorrect Answer
    D Rs. 405 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 45% = 1.45 ├Ч 100y = Rs. тАШ145yтАЩ And, selling price of the article when it is sold at a loss of 35% = 0.65 ├Ч 100y = Rs. тАШ65yтАЩ According to the question, 145y тАУ 65y = 260 Or, y = (260/80) Or, y = 3.25 So, cost price of article тАШAтАЩ = 100 ├Ч 3.25 = Rs. 325 Therefore, cost price of article тАШBтАЩ = 325 + 80 = Rs. 405

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