Question 519613
Let 
Amount is to be deposited in Bank A = x
Amount is to be deposited in Bank B = 2500-x


Interest rate of Bank A = 6%=0.06
Interest rate of Bank B = 6.5% = 0.065

Amount is to be deposited in Bank A * interest rate of Bank A =  Amount is to be deposited in Bank B * interest rate of Bank B


x*0.06=(2500-x)*0.065
0.06x=162.5-0.065x
0.06x+0.065x=162.5
0.125x=162.5
0.125x/0.125=162.5/0.125
x=1300


Amount deposited to Bank A = x = 1300
Amount deposited to Bank B = 2500-x=2500-1300=1200