Question

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

Answer 1

$95.24

Step-by-step explanation:

We were given that:

Trade discount percentage = 5.5%

Trade discount = $90

The list price is given by:

`\begin{gathered} ListPrice=(S)/((1-(D)/(100))) \\ where: \\ D=discount=5.5\text{\%} \\ S=SalePrice=\text{\$90} \\ \\ \text{Substituting into the formula, we have:} \\ ListPrice=(90)/((1-(5.5)/(100))) \\ ListPrice=(90)/(1-0.055) \\ ListPrice=(90)/(0.945) \\ ListPrice=\text{\$}95.24 \end{gathered}`

Therefore, the list price is $95.24