Firm X has $100$ shares outstanding at $$20$ per share. Firm Y also has $100$ shares outstanding with a current price of $$5$ per share. Firm X offers Y$\text{'}$s shareholders $$$ per share in cash. Firm X$\text{'}$s management expects the combined value of the firm to be $$3,000.$ The expected gain and the NPV of the merger to X are, respectively, closest to:

a$)$ $$500$ and $$300$

b$)$ $$300$ and $$200$

c$)$ $$500$ and $$200$

d$)$ $$300$ and $$300$