Brian invested $ 4000 in Fund B, if both funds together returned a 5% profit
Solution:
Given, Brian invested his savings in two investment funds.
The $6000 that he invested in Fund A returned 7% profit.
The amount that he invested in Fund B returned a 2% profit.
We have to find how much did he invest in Fund B, if both funds together returned a 5% profit?
Let the amount invested in Fund B be n.
Then, 5% of (6000 + n ) = 7% of 6000 + 2% of n
[tex]\begin{array}{l}{\frac{5}{100} \times(6000+n)=\frac{7}{100} \times 6000+\frac{2}{100} \times n} \\\\ {5(6000+n)=7 \times 6000+2 n} \\\\ {5 \times 6000+5 n=7 \times 6000+2 n} \\\\ {5 n-2 n=7 \times 6000-2 n} \\\\ {3 n=2 \times 6000} \\\\ {3 n=12000} \\\\ {n=4000}\end{array}[/tex]
Hence, the amount invested in fund b is $4000.
