Wang visits his bank to borrow $$25000$ for two years to renovate his business. The bank offers him the following $2$ options: option $1$: an annual interest rate of $7\mathrm{.}75\%$ compounded quarterly. option $2$: an annual interest rate of $7\mathrm{.}5\%$ compounded monthly. a$)$ explain to Wang which of the $2$ options he should choose and why. b$)$ also, find the difference in the interest amount for the $2$ options