A dealer once sold identical cars at a piece of \(x\) dollars each (including sales tax). However, the pre-tax price was recently increased by \(\$2,500\) such that \(18\) cars purchased at the old price would cost the same as purchasing three fewer cars at the new price. If the sales tax rate is \(8\%,\) what is the new price of the dealer's cars, including sales tax, in dollars?

A) \(\$10,800\)

B) \(\$12,500\)

C) \(\$13,500\)

D) \(\$16,200\)

E) \(\$16,750\)

Answer: D

Source: Princeton Review