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    Shakila incurs a loss of 10% after selling a machine part for 540. In order to gain a profit of 10%, at what price should Shakila sell the same part?
    Question

    Shakila incurs a loss of 10% after selling a machine part for 540. In order to gain a profit of 10%, at what price should Shakila sell the same part?

    A.

    260

    B.

    550

    C.

    660

    D.

    600

    Correct option is C


    Given:
    · Loss percentage = 10%
    · Selling price at a loss = ₹540
    · Desired profit = 10%
    Concept Used:
    · First, find the cost price using the formula: Selling Price = Cost Price × (1 - Loss%).
    · Then, calculate the new selling price required to achieve a 10% profit.
    Solution:
    1. Let the cost price be C. Using the loss formula: ₹540 = C × (1 - 0.10) ₹540 = C × 0.90 C = ₹540 / 0.90 C = ₹600
    2. To gain a profit of 10%, the new selling price should be: New Selling Price = Cost Price × (1 + Profit%) New Selling Price = ₹600 × (1 + 0.10) New Selling Price = ₹600 × 1.10 New Selling Price = ₹660
    Final Answer: (c) ₹660

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