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7 July, 12:21

a shopkeeper bought two watches for rs 400. he sold them to gain 5% profit on one and another at 5% loss on other. calculate his final loss or profit percent. if the sp of both watches are same

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  1. 7 July, 13:45
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    0.25 % loss.

    Step-by-step explanation:

    Let the cost of 1 watch be rs x then the cost of the other is rs 400 - x.

    Let the sp be rs y.

    So we have:

    y = x + 0.05x

    y = (400 - x) - 0.05 (400 - x)

    y = 400 - x - 20 + 0.05x

    y = 380 - 0.95x

    So x + 0.05x = 380 - 0.95x

    2x = 380

    x = 190.

    and y = 190 + 0.05*190 = 199.5.

    So the total selling price = 2 * 199.5 = rs 399

    So final loss is [ (400-399) / 400] * 100

    = 0.25 %.
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