KymberleeM344471 KymberleeM344471
  • 29-10-2022
  • Mathematics
contestada

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

The value of a 55 trade discount is 90 How much is the list price L class=

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ZyereB698382 ZyereB698382
  • 29-10-2022

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

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