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    Sandeep made a profit of 22% when he sold an overcoat for ₹8,540. Find the cost price of the overcoat.
    Question

    Sandeep made a profit of 22% when he sold an overcoat for ₹8,540. Find the cost price of the overcoat.

    A.

    ₹6,500

    B.

    ₹6,000

    C.

    ₹7,500

    D.

    ₹7,000

    Correct option is D

    Given:
    Profit percentage = 22%
    Selling price (SP) = ₹8,540​

    Formula Used:

    Selling Price (SP) = Cost Price (CP) + Profit

    Cost Price (CP) = Selling Price (SP)1+Profit Percentage100\frac{\text{Selling Price (SP)}}{1 + \frac{\text{Profit Percentage}}{100}}​​
    Solution:

    Cost Price = 85401+22100=85401.22=7000\frac{8540}{1 + \frac{22}{100}} = \frac{8540}{1.22} = 7000

    Thus, the correct option is (d) ₹7,000

    Alternate Method:

    Let, Cost price = 100%

    Selling Price = 100% + 22% = 122%

    Cost Price = 8540122%×100%\frac{8540}{122\%} \times 100\% = ₹7,000

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