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1965 AMC 12 Question 32

AMC12 · 1965 AMC 12

Question 32

An article costing $C$ dollars is sold for $\$100$ at a loss of $x$ percent of the selling price. It is then resold at a profit of $x$ percent of the new selling price $S'.$ If the difference between $S'$ and $C$ is $1\dfrac19$ dollars, then $x$ is:
  1. undetermined
  2. $\dfrac{80}{9}$
  3. $10$
  4. $\dfrac{95}{9}$
  5. $\dfrac{100}{9}$