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A store has a 25%25\% off sale on coats. With this discount, the price of one coat is $34.50\$34.50. What was the original price of the coat before the discount?

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Full solution

Q. A store has a 25%25\% off sale on coats. With this discount, the price of one coat is $34.50\$34.50. What was the original price of the coat before the discount?
  1. Calculate Original Price: Calculate the original price using the discounted price and the discount rate.\newlineOriginal Price = Discounted Price1−Discount Rate\frac{\text{Discounted Price}}{1 - \text{Discount Rate}}\newline= 34.501−0.25\frac{34.50}{1 - 0.25}\newline= 34.500.75\frac{34.50}{0.75}\newline= $46.00\$46.00

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