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2017 AMC 12B Question 10

AMC12 · 2017 AMC 12B

Question 10

At Typico High School, $60\%$ of the students like dancing, and the rest dislike it. Of those who like dancing, $80\%$ say that they like it, and the rest say that they dislike it. Of those who dislike dancing, $90\%$ say that they dislike it, and the rest say that they like it. What fraction of students who say they dislike dancing actually like it?
  1. $10\%$
  2. $12\%$
  3. $20\%$
  4. $25\%$
  5. $33\tfrac{1}{3}\%$