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30 September, 17:58

I bought 300 barrels of used electronics components at $3 per barrel, and 120 of them were ruined in my leaky storage building. At what price per barrel must I sell the remainder so as to suffer no loss and break even?

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  1. 30 September, 19:26
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    Answer: you must sell the remainder at $7 so as to suffer no loss and break even.

    Step-by-step explanation:

    You bought 300 barrels of used electronics components at $3 per barrel. It means that the cost was

    300 * 3 = $900

    If 120 of them were ruined in your leaky storage building, it means that the additional cost incurred would be

    120 * 3 = $360

    Total cost incurred would be

    900 + 360 = $1260

    To break even,

    Revenue = total cost

    Let x represent the price per barrel that you must sell the remainder so as to suffer no loss and break even. The remainder is

    300 - 120 = 180

    Revenue from the remainder is

    180 * x = $180x

    Therefore,

    180x = 1260

    x = 1260/180

    x = 7
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