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

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.