susan marciano invested part of her $32,000 bonus in a fund that paid a 12% profit and invested the rest in…

susan marciano invested part of her $32,000 bonus in a fund that paid a 12% profit and invested the rest in stock that suffered a 3% loss. the overall net profit was $1,290. find the amount of each investment. the amount invested at 12% is $ . the amount invested in stock is $ .

susan marciano invested part of her $32,000 bonus in a fund that paid a 12% profit and invested the rest in stock that suffered a 3% loss. the overall net profit was $1,290. find the amount of each investment. the amount invested at 12% is $ . the amount invested in stock is $ .

Answer

Explanation:

Step1: Let the amount invested at 12% be $x$.

Then the amount invested in stock (which had a 3% loss) is $(32000 - x)$.

Step2: Calculate the profit and loss expressions.

The profit from the 12% - investment is $0.12x$. The loss from the stock - investment is $0.03(32000 - x)$.

Step3: Set up the profit equation.

The overall net profit is $1290$. So, $0.12x-0.03(32000 - x)=1290$.

Step4: Expand and simplify the equation.

$0.12x-960 + 0.03x=1290$. Combine like - terms: $0.12x+0.03x=1290 + 960$. $0.15x=2250$.

Step5: Solve for $x$.

$x=\frac{2250}{0.15}=15000$.

Step6: Find the amount invested in stock.

The amount invested in stock is $32000 - 15000 = 17000$.

Answer:

The amount invested at 12% is $15000. The amount invested in stock is $17000.