Leno Company sells goods to the Fallon Company for $$10,000.$ It offers credit terms of $\frac{5}{10},\frac{n}{30}.$ If Fallon Company pays the invoice within the discount period, Leno Company will record a debit to Cash in the amount of:

A$.$ $$10,500.$

B$.$ $$10,000.$

C$.$ $$9,500.$

D$.$ $$500.$