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.
the amount invested in funds is $ 10,000.
the amount invested in stock is $9000
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
the amount invested in funds is 10,000.
the amount invested in stock is,
= 19,000 - x
= 19000 - 10000
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Business, published 27.03.2023
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