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    Atul bought a bicycle at three-fourth price of its marked price and sold it at 20% more than its marked price. What will be the profit percentage?
    Question

    Atul bought a bicycle at three-fourth price of its marked price and sold it at 20% more than its marked price. What will be the profit percentage?

    A.

    35%

    B.

    55%

    C.

    60%

    D.

    75%

    Correct option is C

    Given
    Cost Price (CP) = 34\frac{3}{4} ​of Marked Price (MP)
    Selling Price (SP) = MP + 20%20\%​ of MP

    Formula Used
    Profit%=SPCPCP×100Profit \% = \frac{SP - CP}{CP} \times 100​​

    Solution
    Let the Marked Price (MP) be 100.
    Then, Cost Price (CP) = 34×100=75\frac{3}{4} \times 100 = 75​​
    Selling Price (SP) = 100+20% of 100=120100 + 20\% \text{ of } 100 = 120​​
    Profit = SP - CP = 120 - 75 = 45
    Profit%=4575×100 Profit%=35×100=60%Profit \% = \frac{45}{75} \times 100\\\ \\Profit \% = \frac{3}{5} \times 100 = 60\%​​

    Final Answer
    So the correct answer is (c)

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