High School

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 was bought at a wholesale price of \[tex]$112 and sold with a 40% markup, you can follow these steps:

1. Understand Markup: A 40% markup means that the price is increased by 40% of the original wholesale price.

2. Calculate the Markup Amount:
- First, determine the 40% of the wholesale price, which is \$[/tex]112.
- To do this, multiply the wholesale price by the markup percentage:
[tex]\[
\text{Markup Amount} = 0.40 \times 112 = 44.8
\][/tex]

3. Calculate the Retail Price:
- Add the markup amount to the original wholesale price to find the retail price:
[tex]\[
\text{Retail Price} = 112 + 44.8 = 156.8
\][/tex]

4. Select the Correct Expression:
- The expression that represents this calculation is:
[tex]\[
\$112 + 0.40(\$112)
\][/tex]

Therefore, the last option, \[tex]$112 + 0.40(\$[/tex]112), is the correct expression to use for finding the retail price. The retail price is \$156.80.