Problema Solution

A merchant has twice as much money invested at 12% as he has at 10%. If his annual from both investements is $84,000 , how much has he invested at each rate?

Answer provided by our tutors

Let

x = represents the money invested at 10%

2x = represents the money invested at 12% (2 times as much as at 10%)

The total annual interest from both investments is $84,000:

0.10x + 0.12*(2x) = 84000

........

click here to see the equation solved for x

........

x = $247,058.82

2x = 2*247,058.82 = $494,117.64

The merchant invested $247,058.82 at 10% and $494,117.64 at 12%.