2002 Cayley Problem 12

A compact disc originally sells for \$10.00. If the price of the compact disc is increased by 40\% and this new price is later decreased by 30\%, what is the final price?

\textbf{(A)}\ \$9.80\quad \textbf{(B)}\ \$17.00\quad \textbf{(C)}\ \$9.00\quad \textbf{(D)}\ \$19.80\quad \textbf{(E)}\ \$9.60

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Cayley contests here.