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    By selling articles at 31, a shopkeeper losses 7%. What will the profit percentage be when he sells the same article at 35?
    Question

    By selling articles at 31, a shopkeeper losses 7%. What will the profit percentage be when he sells the same article at 35?

    A.

    4%

    B.

    5%

    C.

    7%

    D.

    6%

    Correct option is B

    Given:

    Selling Price (SP) = Rs.31

    Loss = 7%

    Formula used:

    Profit = selling Price - cost Price

    Cost price = selling price + loss

    Solution:

    The shopkeeper sells at Rs.31 and incurs a loss of 7%.

    This means the selling price (S.P.) is 93% of the cost price (C.P.).

    Let the cost price be Rs. x

    x = 31 + 7% of x

    => x - 7% of x = 31

    =>93x100=31=> \frac{93x }{100} =31

    =>x=31×10093=> x = \frac{31\times100 }{93} ​​​

     =>1003=> \frac{100 }{3} ​​

    Profit = 35 - 1003\frac{100 }{3} ​​

    => 1051003\frac{105-100 }{3} ​​

    => 53\frac{5}3​​

    Profit % = [(5/3)(100/3)]×100\left[\frac{(5/3)}{(100/3)}\right] × 100​​

    => 5100×100\frac{5}{100}\times100​​

    => 5%

    Thus, the correct answer is (b) 5%.




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