2004 Fermat Problem 9

The table shows population information for two towns for the years 2003 and 2004.

\begin{array}{|c|c|c|}\hline \text{Town} & \text{2003 Population} & \text{Percentage Change From 2003\ \text{to} 2004} \\ \hline \text{Cayleyville} & 10\ 000 & 4\% \\ \hline \text{Pascalberg} & 25\ 000 & -12\% \\ \hline \end{array}

What is the difference between the populations of the two towns in 2004?

\textbf{(A)}\ 12\ 400\quad \textbf{(B)}\ 11\ 600\quad \textbf{(C)}\ 17\ 600\quad \textbf{(D)}\ 13\ 800\quad \textbf{(E)}\ 17\ 400

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 Fermat contests here.