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1952 AMC 12 Question 34

AMC12 · 1952 AMC 12

Question 34

The price of an article was increased $p\%.$ Later the new price was decreased $p\%.$ If the last price was one dollar, the original price was:
  1. $\dfrac{1-p^2}{200}$
  2. $\dfrac{\sqrt{1-p^2}}{100}$
  3. One dollar
  4. $1-\dfrac{p^2}{10{,}000-p^2}$
  5. $\dfrac{10{,}000}{10{,}000-p^2}$