AMC 12 2009b Problem 7

In a certain year the price of gasoline rose by $20\%$ during January, fell by $20\%$ during February, rose by $25\%$ during March, and fell by $x\%$ during April. The price of gasoline at the end of April was the same as it had been at the beginning of January. To the nearest integer, what is $x$?

\textbf{(A)}\ 12 \textbf{(B)}\ 17 \textbf{(C)}\ 20 \textbf{(D)}\ 25 \textbf{(E)}\ 35