Devonshire, Incorporated sold merchandise inventory on account at a price of $$17,000$ with payment terms of $\frac{2}{10},\frac{n}{30}.$ The merchandise cost Devonshire $$13,000.$ If the customer paid for the merchandise $5$ days after receiving the invoice, how much cash was collected by Devonshire?

A$)$ $$17,000$

B$)$ $$16,660$

C$)$ $$12,740$

D$)$ $$13,000$