A company sold $200$ shares of common stock with a par value of $$5$ at a price of $$13$ per share. What is the effect on the accounts of this transaction?

a$.$ Increase cash $$2,600$; increase common stock $$1,600$ and increase paid$-$in capital $$1,000$

b$.$ Increase cash $$2,600$; increase common stock $$1,000$ and increase paid$-$in capital $$1,600$

c$.$ Increase cash $$1,000$; increase common stock $$1,000$

d$.$ Increase cash $$2,600$; increase retained earnings $$2,600$