The value of a 5.5% trade discount is $90. How much is the list price? L = $_____

Answer:
$95.24
Explanation:
We were given that:
Trade discount percentage = 5.5%
Trade discount = $90
The list price is given by:
[tex]\begin{gathered} ListPrice=\frac{S}{(1-\frac{D}{100})} \\ where: \\ D=discount=5.5\text{\%} \\ S=SalePrice=\text{\$90} \\ \\ \text{Substituting into the formula, we have:} \\ ListPrice=\frac{90}{(1-\frac{5.5}{100})} \\ ListPrice=\frac{90}{1-0.055} \\ ListPrice=\frac{90}{0.945} \\ ListPrice=\text{\$}95.24 \end{gathered}[/tex]Therefore, the list price is $95.24