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2009 AMC 10B Question 8

AMC10 · 2009 AMC 10B

Question 8

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 $x?$
  1. $12$
  2. $17$
  3. $20$
  4. $25$
  5. $35$