susan marciano invested part of her 34000 bonus in a fund th

susan marciano invested part of her $34,000 bonus in a fund that paid a 12% profit and invested the rest in a stock that suffered a 3% loss. find the amound of each investmen if her overall net profit was $480.

amount invested at 12%?

the amount invested in stock is ?

Solution

Here is the solution -:

Let x be the amount invested in funds that earned 12%.
Then the amount invested in stock that suffered 3% loss is 34,000 - x.
The profit from investment in funds is 12%x
The loss from investment in stock is 3%(34,000 - x).
The net profit is 12%x - 3%(34,000 - x).
As the net profit given in the problem is $780, we have:
12%x - 3%(34,000 - x) = 480
Solving for x, we have:

12x - 3(34,000 - x) = 48000 (multiply both sides by 100)
12x - 102000 + 3x = 48000
15x = 150000
x = 150000/15
x = 10,000
So the amount invested in funds that earned 12% is 10,000. answer
the amount invested in stock that suffered 3% loss is 34,000 - x = 34000 - 10000 =24,000 answer