Question

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. How much did he invest in Fund B, if both funds together returned a 5% profit?

Answer 1

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

`\begin{array}{l}{(5)/(100) *(6000+n)=(7)/(100) * 6000+(2)/(100) * n} \\\\ {5(6000+n)=7 * 6000+2 n} \\\\ {5 * 6000+5 n=7 * 6000+2 n} \\\\ {5 n-2 n=7 * 6000-2 n} \\\\ {3 n=2 * 6000} \\\\ {3 n=12000} \\\\ {n=4000}\end{array}`

Hence, the amount invested in fund b is $4000.