A purchase of $$45,000$ was made on account with the credit terms of $\frac{3}{15},\frac{n}{45}.$ The item purchased cost the seller $$35,000.$ Assuming this customer will take advantage of the discount, how much profit will the selling business earn?

Select one:

a$.$ $$3,000$

b$.$ $$1,350$

c$.$ $$8,650$

d$.$ $$10,000$