Finding the original price given the sale price... Today only, a suit is being sold at a \( 26 \% \) discount. The sale price is \( \$ 407 \). What was the price yesterday? \( \$ \square \)
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To find the original price, we can use the relationship where the sale price equals the original price minus the discount. Since the suit is sold at a \( 26\% \) discount, you're paying \( 74\% \) of the original price. We can express this as: \[ \text{Sale Price} = \text{Original Price} \times (1 - 0.26) \] Substituting the sale price of \( 407 \): \[ 407 = \text{Original Price} \times 0.74 \] Now, solving for the original price: \[ \text{Original Price} = \frac{407}{0.74} \approx 550 \] Thus, the original price yesterday was \( \$ 550 \).
