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    A shopkeeper purchased 59 dozens of articles at the rate of ₹728 per dozen. He sold each one of them at the rate of ₹91. What percentage profit d
    Question

    A shopkeeper purchased 59 dozens of articles at the rate of ₹728 per dozen. He sold each one of them at the rate of ₹91. What percentage profit did he make?​

    A.

    50%

    B.

    52%

    C.

    48%

    D.

    49%

    Correct option is A

    Given:

    Cost Price (CP) = ₹728 per dozen

    Quantity = 59 dozens

    Selling Price (SP) = ₹91 per article

    Formula Used:

    Total CP = Rate per dozen × Number of dozens

    Total SP = Selling price per article × Total articles

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

    Solution:

    Total articles = 59 × 12 = 708

    Total CP = ₹728 × 59 = ₹42,952

    Total SP = ₹91 × 708 = ₹64,428

    Profit = ₹64,428 − ₹42,952 = ₹21,476

    Profit % = 2147642952×100=50% \frac{21476}{42952} \times 100 = 50\%​​

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