Problem

Let \( \mathcal{X} \) represent the original price. A retailer is looking to make \( \$ 125 \) profit after a \( 20 \% \) discount and a \( \$ 5 \) off coupon on a range that cost the retailer \( \$ 255 \) to procure. What was the original price of the range?

Answer

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Answer

\( \mathcal{X} = \frac{380}{0.80} \)

Steps

Step 1 :\( \textrm{Let } \mathcal{X} \textrm{ represent the original price} \)

Step 2 :\( \mathcal{X} - 0.20 \cdot \mathcal{X} - 5 = 255 + 125 \)

Step 3 :\( \mathcal{X} = \frac{380}{0.80} \)

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