2023 AMC 10B Problem 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?

\textbf{(A)} \$46 \qquad \textbf{(B)} \$50 \qquad \textbf{(C)} \$48 \qquad \textbf{(D)} \$47 \qquad \textbf{(E)} \$49

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.