Question

Susan Marciano invested part of her $ 12 comma 000 bonus in a fund that paid an 11 % profit and invested the rest in stock that suffered a 3 % loss. Find the amount of each investment if her overall net profit was $ 760

Answer 1

$8000

Explanation:

We have to x the amount invested in funds they earned, that is 11%.

Therefore, the amount invested in stocks that suffered a 3% loss is 12000 - x.

The return on investment in funds is: 0.11 * x

The loss on the stock investment is: 0.03 * (12000 - x).

The net profit is:

0.11 * x - 0.03 * (12000 - x).

Since the net profit given in the problem is $ 760, we have:

0.11 * x - 0.03 * (12000 - x) = 760

We solve for x, we have:

0.11 * x - 0.03 * (12000 - x) = 760

0.11 * x - 360 + 0.3 * x = 760

0.14 * x = 760 + 360

x = 1120 / 0.14

x = 8000

So,

the amount invested in funds that earned 11% is 8000.

the amount invested in stocks that suffered a 3% loss is 12000 - x = 12000 - 8000 = 4000.