College

Which expression can be used to find the retail price of an item that was bought at wholesale for [tex]\$112[/tex] and sold at a [tex]40\%[/tex] markup?

A. [tex]\$112 + 4(\$112)[/tex]

B. [tex]\$112 - 4(\$112)[/tex]

C. [tex]\$112 - 0.40(\$112)[/tex]

D. [tex]\$112 + 0.40(\$112)[/tex]

Answer :

To find the retail price of an item that costs [tex]$112 at wholesale with a 40% markup, you'll want to add 40% of the wholesale cost to the original price. Let's break it down step-by-step:

1. Identify the Wholesale Price:
The item is bought at a wholesale price of $[/tex]112.

2. Determine the Markup Percentage:
The item is sold with a 40% markup.

3. Calculate the Markup Amount:
Multiply the wholesale price by the markup percentage to find the markup amount.
[tex]\[
\text{Markup Amount} = \$112 \times 0.40 = \$44.80
\][/tex]

4. Calculate the Retail Price:
Add the markup amount to the wholesale price to get the retail price.
[tex]\[
\text{Retail Price} = \$112 + \$44.80 = \$156.80
\][/tex]

Therefore, the correct expression to use for finding the retail price is [tex]\(\$112 + 0.40(\$112)\)[/tex]. This expression correctly accounts for adding the 40% markup to the wholesale price.