Abbey Co$.$ sold merchandise to Gomez Co$.$ on account, $$35,000,$ terms $\frac{2}{15},$ net $45.$ The cost of the goods sold was $$24,500.$ Abbey Co$.$ issued a credit memo for $$3,600$ for merchandise returned that originally cost $$1,700.$ Gomez Co$.$ paid the invoice within the discount period. What is the amount of gross profit eamed by Abbey $C0.$ on the above transactions?

a$.$ $$10,500$

b$.$ $$30,772$

c$.$ $$7,972$

d$.$ #$9,800$