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    A dishonest trader says to customers that he sells his goods at a cost price, but he uses a false weight and gains 12.5% as profit. How many grams doe
    Question

    A dishonest trader says to customers that he sells his goods at a cost price, but he uses a false weight and gains 12.5% as profit. How many grams does he use to weigh 1 kg?

    A.

    900 g

    B.

    880.5 g

    C.

    850 g

    D.

    888.8 g

    Correct option is D

    Given:
    A dishonest trader says to customers that he sells his goods at a cost price, but he uses a false weight and gains 12.5% as profit.
    Formula Used:
    Gain % = [(Error)/(True value – Error)] × 100
    Solution:
    12.5 % = [Error/(1000 – Error)] × 100
    => 1/8 = [Error/(1000 – Error)]
    => 8Error + Error = 1000
    => 9Error = 1000
    => Error = 1000/9
    So, the trader gives 1000 - 1000/9
    => [9(1000) - 1000]/9
    => (9000 - 1000)/9
    => 888.8 g

    Alternate Method:

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