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Step-by-step explanation:
let the first part be x
and the other part would be 6000-x
simple interest(SI)=p*t*r/100
t=9months=9/12 years=3/4 years
r=12%
SI1=x*(3/4)*12/100
=9x/100
SI2:
p=6000-x
t=3/2 years
r=10%
SI2=(6000-x)*(3/2)*10/100
=(6000-x)*15/100
given SI1=SI2
9x/100=15*(6000-x)/100
9x=15*6000-15x
24x=6000*15
8x=6000*5
x=750*5=3750
the other part is 6000-3750=2250
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