Problema Solution
Susan Marciano invested part of her $21,000 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 $1,650.
Needed Answers:
The amount invested at 10% is $ ?
The amount invested in stock is $ ?
Answer provided by our tutors
let
x = the amount invested at 10%
y = the amount invested in stock
x + y =$21,000
10% of x profit - 5% of y loss = overall net profit $1,650
0.1*x - 0.05*y = 1650
by solving the system of equations
x + y =21000
0.01*x - 0.05*y = 1650
we find
x = $18,000
y = $3,000
The amount invested at 10% is $18,000.
The amount invested in stock is $3,000.
let
x = the amount invested at 10%
y = the amount invested in stock
x + y =$21,000
10% of x profit - 5% of y loss = overall net profit $1,650
0.1*x - 0.05*y = 1650
by solving the system of equations
x + y =21000
0.1*x - 0.05*y = 1650
we find
x = $18,000
y = $3,000
The amount invested at 10% is $18,000.
The amount invested in stock is $3,000.