Answer
6%
Work Step by Step
He invested two amounts at two different interest rates that we do not know. 1000 dollars at x interest rate and 2000 dollars at x+0.005 (half percent higher interest rate), we know that he will receive 190 total interest.
1000x +2000(x+0.005)=190
1000x 2000x+10=190
3000x=180
x=0.06=6%