Jennings Hardware Store marks up its merchandise by $30\%.$ If a part costs $$25\mathrm{.}00,$ which of the following is true?

a$.$ The price is $$7\mathrm{.}50.$

b$.$ The markup is $$32\mathrm{.}50.$

c$.$ The price is $$32\mathrm{.}50.$

d$.$ The markup is pure profit.

e$.$ All of these choices are correct.