Greller owns $100$ shares of Arden Corp., a publicly traded company, which Greller purchased on January $1,$ Year $1,$ for $$10,000.$ On January $1,$ Year $3,$ Arden declared a $2-$for$-1$ stock split when the fair market value $($FMV$)$ of the stock was $$120$ per share. Immediately following the split, the FMV of Arden stock was $$62$ per share. On February $1,$ Year $3,$ Greller had his broker specifically sell the $100$ shares of Arden stock received in the split when the FMV of the stock was $$65$ per share. What is the basis of the $100$ shares of Arden sold? $$ A$.$ $$5,000$ B$.$ $$6,000$ C$.$ $$6,200$ D$.$ $$6,500$