2015 Gauss 8 Problem 8

At the beginning of the summer, Aidan was 160\,\text{cm} tall. At the end of the summer, he measured his height again and discovered that it had increased by 5\%. Measured in cm, what was his height at the end of summer?

\textbf{(A)}\ 168\quad \textbf{(B)}\ 165\quad \textbf{(C)}\ 160.8\quad \textbf{(D)}\ 172\quad \textbf{(E)}\ 170

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 Gauss contests here.