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    An article is at 10% more than the CP. If a discount of 10% is allowed, then which of the following is correct?
    Question



    An article is at 10% more than the CP. If a discount of 10% is allowed, then which of the following is correct?

    A.

    1% gain

    B.

    1% loss

    C.

    No gain, no loss

    D.

    More than one of the above

    E.

    None of the above

    Correct option is B


    Cost Price (CP): The original price of the article.
    Selling Price (SP): The price at which the article is sold.
    Marked Price (MP): The price at which the article is initially listed (before any discounts).
    The article is marked 10% more than the CP.
    If CP = 100, then MP = 100 + (10/100) x 100 = 110
    A discount of 10% is given on the MP.
    SP = MP - (10/100) x MP = 110 - (10/100) x 110 = 110 - 11 = 99
    Since SP (99) is less than CP (100), there is a loss.
    Loss = CP - SP = 100 - 99 = 1
    Loss Percentage = (Loss/CP) x 100 = (1/100) x 100 = 1%

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