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2023 AMC 10B Question 2

AMC10 · 2023 AMC 10B

Question 2

Carlos went to a sports store to buy running shoes. Running shoes were on sale, with prices reduced by $20\%$ on every pair of shoes. Carlos also knew that he had to pay a $7.5\%$ sales tax on the discounted price. He had $43$ dollars. What is the original (before discount) price of the most expensive shoes he could afford to buy?
  1. $\$46$
  2. $\$50$
  3. $\$48$
  4. $\$47$
  5. $\$49$