Sam invested part of his 36,000 bonus in a fund that paid an 8% profit and invested the rest in stock that suffered a 5% loss find the amount of each investment if his overall net profit was 2,750
.08x - .05(36000-x) = 2750
susan Marciano invested part of her $26,000 bonus in a fund that paid a 10% profit and invested the rest in stock that suffered a 4% loss. Find the amount of each investment if her overall net profit was $ 1,200.
To find the amount of each investment, let's set up the problem as a system of equations.
Let's assume that Sam invested x amount in the fund that paid an 8% profit, and the remaining amount (36,000 - x) in the stock that suffered a 5% loss.
The profit from the fund investment can be calculated as: 0.08x
The loss from the stock investment can be calculated as: 0.05(36,000 - x)
The overall net profit is given as 2,750. So, the equation becomes:
0.08x - 0.05(36,000 - x) = 2,750
Now, let's solve this equation to find the value of x.
0.08x - 0.05(36,000 - x) = 2,750
0.08x - 0.05(36,000) + 0.05x = 2,750
0.08x - 1,800 + 0.05x = 2,750
0.13x = 2,750 + 1,800
0.13x = 4,550
x = 4,550 / 0.13
x ≈ 35,000
So, Sam invested approximately $35,000 in the fund that paid an 8% profit. The remaining amount he invested in the stock that suffered a 5% loss can be found by subtracting the amount invested in the fund from the total bonus:
36,000 - 35,000 = 1,000
Therefore, Sam invested $35,000 in the fund and $1,000 in the stock.