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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 at a 40% markup, follow these steps:

1. Understand the Concept of Markup:
- A markup is an additional amount added to the wholesale price to determine the retail price.
- The markup is typically expressed as a percentage of the wholesale price.

2. Calculate the Markup Amount:
- Since the markup is 40%, we need to calculate 40% of the wholesale price.
- Multiply the wholesale price (\$[/tex]112) by the markup percentage (0.40):
[tex]\[
\text{Markup Amount} = 112 \times 0.40 = 44.8
\][/tex]

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

Based on this calculation, the correct expression to find the retail price is:
[tex]\[
\$ 112 + 0.40(\$ 112)
\][/tex]

This choice matches the calculated retail price of \$156.80, confirming that the expression correctly represents the process of adding a 40% markup to the wholesale price.

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