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18 February, 08:34

Susan Marciano invested part of her $ 19 comma 000bonus in a fund that paid an11 %profit and invested the rest in stock that suffered a 5 %loss. Find the amount of each investment if her overall net profit was $ 650.

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  1. 18 February, 09:01
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    the amount invested in funds is $ 10,000.

    the amount invested in stock is $9000

    Explanation:

    Let x be the total amount invested when 11% earned in funds.

    when 5% loss occured, total amount is 19,000 - x.

    total profit by investment = 11%x

    total loss due to investment in stock is 5% (19,000 - x).

    The net profit is 11%x - 5% (19,000 - x).

    we know that overall net profit is $650, so we have:

    11%x - 5% (19,000 - x) = 650

    Solve for x, we have:

    11x - 5 (19,000 - x) = 65000 (multiply both sides by 100)

    11x - 95000 + 5x = 65000

    16x = 160000

    x = 160000/16

    x = 10,000

    So

    the amount invested in funds is 10,000.

    the amount invested in stock is,

    = 19,000 - x

    = 19000 - 10000

    = $9,000.
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