a % word problem

Question

Tom invested his savings in two investment funds. The
$6000
that he invested in Fund A returned a
2%
profit. The amount that he invested in Fund B returned a
6%
profit. How much did he invest in Fund B, if both funds together returned a
5%
profit?

Answer 1

Looking at them individually:

 

For fund A, the profit is 0.02*6000

For fund B, the profit is 0.06*x

 

Observing both

 

For all the money that he invested (6000+x), the profit would be 5%, therefore the total profit is 0.05(6000+x)

 

The sum of the Profit A and Profit B should be equal to the total profit.

 

0.02*6000 + 0.06x = 0.05(6000+x)

 

120 + 0.06x = 300 + 0.05x

0.01x = 180

 

x = 18000