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    A man purchases a machine for ₹2,450 and sells it at a gain of 10%. What is the selling price of the machine?
    Question

    A man purchases a machine for ₹2,450 and sells it at a gain of 10%. What is the selling price of the machine?

    A.

    ₹2,569

    B.

    ₹2,596

    C.

    ₹2,965

    D.

    ₹2,695

    Correct option is D

    Given:

    Cost price of the machine = ₹2,450
    Gain percentage = 10%

    Formula Used:
    Selling Price = Cost Price×(1+Gain Percentage100) \times \left( 1 + \frac{\text{Gain Percentage}}{100} \right)​​

    Solution:
    Selling Price =2450×(1+10100)0 \times \left( 1 + \frac{10}{100} \right)​​
    Selling Price = 2450×1.10 \times 1.10​​
    Selling Price = ₹2,695

    The selling price of the machine is ₹2,695.

    Alternate Method:

    10% 110\frac {1}{10} 

    CP          :          SP

    10          :           11

    Selling Price = 245010×11=\frac{2450}{10}\times 11= 2695​

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