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Discussion :: Profit and Loss

  1. The C.P of an article is equaled to the profit %, and a shopkeeper sells it in Rs 56. Find the C.P of the article.

    2. A.
    40
    B.
    60
    C.
    80
    D.
    100

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    Answer : Option A

    Explanation :

    C.P = Profit %, S.P = 56 (given)
    Let C.P = Profit % = x

    Apply formula:

    S.P = ((100 + Profit %)/100) * C.P

    56 = ((100 + x)/100) * x
    x2 + 100x = 5600
    x2 + 100x -5600=0

    Now calculate the factors.

    x2+ 140x - 40x- 5600=0
    (x+140)(x- 40)=0

    x= -140 and +40.
    -ve value is not valid, so the x=40
    So, C.P = Profit% = 40

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