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    A person sold a watch for $450, incurring a loss of 10%. Find the cost price.
    Question

    A person sold a watch for $450, incurring a loss of 10%. Find the cost price.

    A.

    $595

    B.

    $520

    C.

    $500

    D.

    $565

    Correct option is C

    Given:
    Selling Price (SP) = $450
    Loss Percentage = 10%
    Formula Used:
    Selling Price=CP(1Loss%100)\text {Selling Price} = \text{CP}(1 - \frac{Loss \%}{100})​​
    Solution:
    CP=450110100CP=45010.1CP=4500.9CP=500 CP = \frac{450}{1 - \frac{10}{100}} \\ CP = \frac{450}{1 - 0.1} \\ CP = \frac{450}{0.9} \\CP = 500 \\​​
    Therefore, the cost price of the watch is $500.

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