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    The marked price of an article is 30% above the cost price, and the article is sold at 10% less than the marked price. The profit percentage is:
    Question

    The marked price of an article is 30% above the cost price, and the article is sold at 10% less than the marked price. The profit percentage is:

    A.

    15%

    B.

    19%

    C.

    13%

    D.

    17%

    Correct option is D

    Given:
    Marked Price (MP) is 30% above Cost Price (CP)
    Selling Price (SP) is 10% less than MP
    Formula Used:
    Profit %=SPCPCP×100\text{Profit \%} = \frac{SP - CP}{CP} \times 100​​
    Solution:
    Let CP of an article = 100 
    Marked Price (MP) is 30% above Cost Price (CP)
    MP = CP × 1.30 = 100 × 1.30 = 130
    Selling Price (SP) is 10% less than MP
    SP = MP × 0.90 = 130 × 0.90 = 117
    Profit = SP – CP = 117 – 100 = 17
    Profit % = 17100\frac{17}{100}​ × 100 = 17%


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