by selling a chair for Rs 420 a dealer suffered a loss of 16% . At what price should he sell it to gain 20%? ​

Question

by selling a chair for Rs 420 a dealer suffered a loss of 16% . At what price should he sell it to gain 20%? ​

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Katherine 4 months 2022-01-06T18:42:02+00:00 1 Answer 0 views 0

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    2022-01-06T18:43:40+00:00

    Answer:

    Hence, at Rs. 600 should he sell the chair to gain 20%.

    Step-by-step explanation:

    Given that,

    Selling Price(S.P.) of a chair = Rs.420

    Loss% = 16%

    Therefore,

    Cost Price(C.P.) = (S.P. × 100) / (100 – loss%).

                               = (420 × 100) / (100 – 16)

                               = 42000 / 84

                        C.P. = Rs.500

    Now,

    C.P. of the chair = Rs.500

    Gain% = 20%

    S.P. = {C.P. × (100 + g%)} / 100

          ={500 × (100 + 20)} / 100

          =(500 × 120) / 100

          = 60000 / 100

    S.P. = Rs.600

    Hence, at Rs. 600 should he sell the chair to gain 20%.

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