2009 AMC 12B 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\qquad \textbf{(B)}\ 17\qquad \textbf{(C)}\ 20\qquad \textbf{(D)}\ 25\qquad \textbf{(E)}\ 35

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.