Arun lent Rs 5,000 to Balaji for 2 years and Rs 3,000 to Charles for 4 years on simple interest at the same rate of interest and received Rs 2,200 in all from both of them as interest. Find the rate of interest per year

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Principal lent to Balaji P1=5000
Time n1=2years
Let r be the rate of interest per year
Simple interest got from Balaji = Pnr/=> I1= 5000x25xr/
Again principal let to Charles P2=Rs 3000
Time(n2)=4 years
Simple interest got from Charles (I2)=x4xr/100
Altogether Arun got as interest
I1+I2=2200
(5000x2xr)/100 +x4xr/100=2200
100r+120r=2200
220r=2200=2200/220
r=10%
ate of interest per year =