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    Question

    A machine is sold at 10% profit and its selling price is

    Rs. 40 more than when sold at a 15% loss. Determine the cost price of the machine.
    A Rs.200 Correct Answer Incorrect Answer
    B Rs.160 Correct Answer Incorrect Answer
    C Rs.332 Correct Answer Incorrect Answer
    D Rs.240 Correct Answer Incorrect Answer

    Solution

    Let the cost price of the machine = Rs. ‘100y’
    According to the question,
    100y × 1.10 – 100y × 0.85 = 40
    Or, 110y – 85y = 40
    Or, 25y = 40
    So, y = 40 ÷ 25 = 1.6
    So, cost price of the machine = 1.6 × 100 = Rs. 160

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