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19 April, 22:44

Susan Marciano invested part of her 28,000 bonus in a fund that paid a 10% profit and invested the rest in stock that suffered a 3% loss. Find the amount of each investment if her overall net profit was 2,410

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  1. 19 April, 23:13
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    amount invested in funds that earned 10% is $25,000, while the amount invested in stock that suffered 3% loss $3,000.

    Step-by-step explanation:

    Let x be the amount invested in funds that earned 10%.

    Then the amount invested in stock that suffered 3% loss is 28,000 - x.

    The profit from investment in funds is 10%x

    The loss from investment in stock is 3% (28,000 - x).

    The net profit is 10%x - 3% (28,000 - x).

    As the net profit given in the problem is $2410, we have:

    10%x - 3% (28,000 - x) = 2410

    Solving for x, we have:

    10x - 3 (28,000 - x) = 241000 (multiply both sides by 100)

    10x - 84000 + 3x = 241000

    13x = 241000+84000

    13x = 325000

    x = 325000/13

    x = 25,000

    So

    the amount invested in funds that earned 10% is $25,000.

    the amount invested in stock that suffered 3% loss is 28,000 - x = 28000 - 25000 = $3,000.
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