Question

Susan Marciano invested part of her 19000 bonus in a fund that paid an 11% profit and invested the rest in stock that suffered a 3% loss. Find the amount of each investment if her overall net profit was 130.
The amount invested at 11% is ​$
The amount invested in stock is ​$

Answer 1

The amount invested at 11% is ​$5,000

The amount invested in stock is ​$14,000

What is the net profit on both investments?

The profit of each investment is the rate of return or loss multiplied by the amount invested

Let us assume that x was invested at 11% and the remaining 19000-x was invested at a loss rate of 3%

net profit=(11%*x)+(19000-x)*-3%

net profit=130

130=(11%*x)+(19000-x)*-3%

130=0.11x-570+0.03x

130=0.14x-570

130+570=0.14x

700=0.14x

x=700/0.14

x=$5,000

Amount invested in stock=19000-x

Amount invested in stocks=19000-5000

Amount invested in stocks=$14,000

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