Todd buys a gold coin for $$650$ and six months later sells it for $$975.$ Assuming Todd is in a $50\%$ marginal tax bracket, how much income tax will he have to pay on the disposition of the coin?

a$.$

$$0.$

b$.$

$$81\mathrm{.}25.$

c$.$

$$162\mathrm{.}50.$

d$.$

$$325\mathrm{.}00.$