<p>In a certain year the price of gasoline rose by <img alt="$20\%$" height="14" src="https://latex.artofproblemsolving.com/1/1/8/1183a12017e48198b3352789cc39b223b17945d6.png" width="32" /> during January, fell by <img alt="$20\%$" height="14" src="https://latex.artofproblemsolving.com/1/1/8/1183a12017e48198b3352789cc39b223b17945d6.png" width="32" /> during February, rose by <img alt="$25\%$" height="14" src="https://latex.artofproblemsolving.com/9/6/6/96633b73a86b9d9110e1ff824fce08def96ca296.png" width="32" /> during March, and fell by <img alt="$x\%$" height="14" src="https://latex.artofproblemsolving.com/8/d/e/8de1a36d69a7028480a87b712a7141c651398a06.png" width="25" /> 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 <img alt="$x$" height="10" src="https://latex.artofproblemsolving.com/2/6/e/26eeb5258ca5099acf8fe96b2a1049c48c89a5e6.png" width="12" /></p>

Question No: 306

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 $x$

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Tags: Algebra Probability

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