Mitchell bought $600$ shares of Centerco two years ago for $$34\mathrm{.}50$ per share. He sold them yesterday for $$38\mathrm{.}64$ per share.

a$.$ What was the percent increase in the price per share?

b$.$ What was the total purchase price for the $600$ shares?

c$.$ What was the total selling price for the $600$ shares?

d$.$ What was the percent capital gain for the $600$ shares?

e$.$ How does the percent increase in the price of one share compare to the percent capital gain for all $600$ shares?