2014 Cayley Problem 7

Meg started with the number 100. She increased this number by 20\% and then increased the resulting number by 50\%. Her final result was

\textbf{(A)}\ 120\quad \textbf{(B)}\ 240\quad \textbf{(C)}\ 187.5\quad \textbf{(D)}\ 200\quad \textbf{(E)}\ 180

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.