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    A trader increases the marked price of an article by 40% on cost and sells it after allowing a 20% discount on the marked price. Find his profit perce
    Question

    A trader increases the marked price of an article by 40% on cost and sells it after allowing a 20% discount on the marked price. Find his profit percentage.

    A.

    15%

    B.

    10%

    C.

    12%

    D.

    16%

    Correct option is C

    Given:
    Markup percentage = 40%
    Discount percentage = 20%
    Formula Used:
    Profit % = Markup % - Discount % - Markup%×Discount%100\frac{Markup \% × Discount \%}{100}​​
    Solution:
    Let the Cost Price be 100.
    Marked Price = 100 + 40 = 140
    Discount = 20% of 140 = 28
    Selling Price = 140 - 28 = 112
    Profit = Selling Price - Cost Price = 112 - 100 = 12
    Profit percentage = 12%
    Alternatively, using the successive percentage formula:
    Profit % = 40 - 20 - 40×20100\frac{40 × 20}{100}​​
     = 20 - 8 = 12%
    Final Answer
    So the correct answer is (c)

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