A shopkeeper selling watch for rupees 575 and make a profit of 15% he sell a different watch at 10% loss over all neither gain or loss is wh

Question

A shopkeeper selling watch for rupees 575 and make a profit of 15% he sell a different watch at 10% loss over all neither gain or loss is what is the cost price of second watch

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Luna 1 month 2021-08-14T02:46:29+00:00 1 Answer 0 views 0

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    2021-08-14T02:47:29+00:00

    Given:

    A shopkeeper selling watch for rupees 575 and make a profit of 15%

    To find:

    The cost price of the second watch

    Solution:

    Let the cost price of the first watch is 100 units

    the profit on the same watch is 15%

    So the profit on the watch will be 15 unit

    then the selling price of the same watch will be 115 units

    but, The Selling price of the first watch is Rs. 575

    so,

    • 115 ———– 575
    • 1    ———– 5
    • 100 ———– 500

    So the cost price of the first watch is Rs. 500

    We have given the second watch that is sold at 10% loss and on the overall transaction he had no loss no gain

    So, the ratio of their CPs can be obtained by

    15                -10

              0

    10                  15          [ partition of CPs]

    Ratio will be 2:3

    Let the CP of the second watch Rs x

    As per the condition;

    500/x = 2/3

    x = 500×3/2

    x = 750

    The second watch is of Rs 750

    The cost price of the second watch is Rs 750

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