An investor puts $$40$ million of equity capital into a business in exchange for a $90\%$ equity

stake. Three years later, the business is sold for a $$90$ million transaction value. When it's sold,

it has $$20$ million of debt and $$5$ million of cash. What is the purchase price of the deal at exit?

A$.$ $$95\mathrm{.}0$

B$.$ $$65\mathrm{.}0$

C$.$ $$75\mathrm{.}0$

D$.$ $$115\mathrm{.}0$

E$.$ $$105\mathrm{.}0$