Let the principal amount be Rs. x and the rate percent and time be y(as it is given they r numerically equal).
Now we know that.....
\
I=(P*R*T)/100
=>I =xy^2/100
Also, it's given that
I= 9/16x...
So we have got two equations.... let's equate them,
xy^2/100=9/16x
=>y^2=900/16
=>y=30/4
=Now,
We have got our answer.... So the rate percent is 7.5percent per annum and years =7 yrs and 6 months......