Problem

The value of a $9.5 \%$ trade discount is $\$ 375$. How much is the list price?
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Answer

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Answer

\(\boxed{\text{Final Answer: The list price is approximately \$3947.37.}}\)

Steps

Step 1 :The problem is asking for the list price of an item given that the trade discount is $375 and the trade discount percentage is 9.5%.

Step 2 :The trade discount is a percentage reduction from the list price. So, if we know the value of the trade discount and the percentage, we can calculate the list price.

Step 3 :The formula to calculate the list price is: \( \text{List Price} = \frac{\text{Trade Discount}}{\text{Trade Discount Percentage} / 100} \)

Step 4 :Substituting the given values into the formula, we get: \( \text{List Price} = \frac{375}{9.5 / 100} \)

Step 5 :Calculating the above expression, we find that the list price is approximately \$3947.37.

Step 6 :\(\boxed{\text{Final Answer: The list price is approximately \$3947.37.}}\)

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