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Discussion :: Profit and Loss

  1. A shopkeeper purchases some article at the rate of 2 articles for rupees 3 and purchases twice of the quantity at the rate of 3 articles for rupees 2. He sells them at the rate of 6 articles for rupees 7. Find the profit or loss %.

  2. A.
    28% loss
    B.
    19.04% profit
    C.
    22.36% loss
    D.
    23.52% profit

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    Answer : Option D

    Explanation :

    ATQ,

    A shopkeeper purchases an article at the rate of 2 for rupees 3, and again purchase twice of the quantity at the rate of 3 for rupees 2 and the selling price of the all articles is 6 for rupees 7.

    Here, the total articles are purchased in 2 times.

    i.e.,     Article     price

    C.P 1 =     2      3

    C.P 2 =     3      2

    But the shopkeeper purchases double articles the second time.
    That means C.P 2 = 2 * C.P 1
    So we should make the C.P 2 article's cost price as double as C.P 1

    To satisfy the condition, we need to multiply the C.P 1 with 3 and C.P 2 with 4. The change made in Articles should also be performed at their price to calculate the % profit or loss.

    i.e.,            Article              price

    C.P 1 =      3* 2 = 6         3* 3 = 9

    C.P 2 =      4* 3 = 12       4* 2 = 8

    Now, we can see that C.P 2's article = 2 * C.P 1's article
    Now, total article purchased by shopkeeper C.P = C.P 1 + C.P 2 = 18 at rupees 17

    i.e.,      Article      price

    C.P =       18       17

    S.P =       6         7

    Note: the article should always be equal in S.P and C.P.

    To make it equal, multiply S.P with 3 and the change should also be made in the price.

    i.e.,         Article      price

    C.P =       18           17

    S.P =      3*6=18    3* 7 = 21

    The difference between the price of C.P and S.P is 21-17 = 4
    Now, apply % formula.

    Profit or Loss % = ((difference between C.P and S.P)/ C.P) * 100
    Here C.P = 17, and S.P = 21. Selling price is more than cost price.
    So, Profit % = (4/17) * 100 = 23.52%


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