A shopkeeper bought two watches at Rs 500.he sold one at loss of 12%and other at the profit of 8%.he neither gained nor loss at this transac

Question

A shopkeeper bought two watches at Rs 500.he sold one at loss of 12%and other at the profit of 8%.he neither gained nor loss at this transaction.Find the cost price

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Lydia 6 days 2021-10-07T15:03:40+00:00 1 Answer 0

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    2021-10-07T15:05:21+00:00

    Answer:

    Step-by-step explanation:

    Let CP of one watch = x

    CP of second watch = 500 – x

    SP of first watch = (100-12)% of x = 88% of x=0.88x

    SP of second watch = (100+8)% of (500 – x) = 108% of (500 – x)

                                      = 1.08*(500 – x) = 1.08*500 – 1.08*x

                                       = 540 – 1.08x

    Sp of two watches = 500

    0.88x + 540 – 1.08x = 500

    -0.20x + 540 = 500

    -0.20x = 500 – 540

    -0.20x = -40

    x = -40/-0.20 = 40*100/20 = 2*100 = 200

    CP of first watch = 200

    CP of second watch = 500 – 200 = 300

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