Susan Marciano invested part of her $ 24 comma 000 bonus in a fund that paid a 12 % profit and invest the rest in stock that suffered a 3 % loss. Find the amount of each investment if her overall net profit was $ 1 comma 680.

by 12 % profit amount is 24000

and 3 % loss amount is 8000

Explanation:

given data

invested = $24000

profit p = 12 % = 0.12

loss l = 3 % = 0.03

net profit = $1680

to find out

amount of investment

solution

we consider here amount invested by 11 % = x

so amount invested by 3 % = 24000 - x

so

net profit equation will be

net profit = p (x) - l (24000-x)

1680 = 0.12 x - 0.03 (24000-x)

x = 16000

and

24000 - x

=24000 - 16000

=8000

so

by 12 % profit amount is 24000

and 3 % loss amount is 8000