Question

Susan Marciano invested part of her $38,000 bonus in a fund that paid a 10% profit and invested the rest in stock that suffered a 5% loss. Find the amount of each investment if her overall net profit was $3,350.

Answer 1

Missing word "The amount invested at 10% is $? and The amount invested in stock is ?"

Let Susan invested $x that paid a 10% profit

Then (38,000 - x) suffered loss at 4%

Overall net profit = $3,350

10% of x - 5% of (38,000 - x) = $3,350

10/100*x - 5/100*(38,000 - x) = $3,350

10x - 5*(38,000 - x) = 335,000

10x - 190,000 + 5x = 335,000

15x = 335,000 + 190,000

15x = 525,000

x = 525,000/15

x = 35,000

From (38000 - x) when x = 35,000

==> 38,000 - 35,000

==> $3,000

So, the amount invested at 10% is $35,000 and the amount invested at 5% i.e stock is $3,000