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Math Help - Profit

  1. #1
    Junior Member Godfather's Avatar
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    Profit

    A car dealer sold two used cars for $9999 each. On one she made a 10% profit and the other she took a 10% lost. What is the dollar amount of her overall loss over the two transactions?
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  2. #2
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    Hello, Godfather!

    A tricky/sneaky/challenging problem . . .


    A car dealer sold two used cars for $9999 each.
    On one she made a 10% profit and the other she took a 10% loss.
    What is the dollar amount of her overall loss over the two transactions?

    For the first car, the selling price was $9999 including a 10% profit.
    That is, $9999 equals the Cost plus 10% of the Cost.
    The equation is: .C + 0.10C .= .9999 . . 1.1C = 9999 . . C = 9090

    The car cost her $9090 and she sold it for $9999.
    . . She made a profit of $909.


    For the second car, the selling price was $9999 including a 10% loss.
    That is, $9999 is the Cost minus 10% of the Cost.
    The equation is: .C - 0.10C .= .9999 . . 0.9C = 9999 . . C = 11,110

    The car cost her $11,100 and she sold it for $9999.
    . . She had a loss of $1,110.


    Therefore, her overall loss is: .$1,110 - 909 .= .$201

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