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 wholesale for \[tex]$112 and sold at a 40% markup, we need to understand what a markup is.

### Step-by-Step Solution:

1. Understand the Problem:
- Wholesale Price: \$[/tex]112
- Markup Percentage: 40%

2. Calculate the Markup Amount:
- The markup amount is found by multiplying the wholesale price by the markup percentage.

[tex]\[
\text{Markup Amount} = \text{Wholesale Price} \times \text{Markup Percentage}
\][/tex]

Plug in the values:

[tex]\[
\text{Markup Amount} = 112 \times 0.40
\][/tex]

3. Determine the Markup Amount:
- After performing the multiplication:

[tex]\[
\text{Markup Amount} = 44.80
\][/tex]

4. Calculate the Retail Price:
- The retail price is the wholesale price plus the markup amount.

[tex]\[
\text{Retail Price} = \text{Wholesale Price} + \text{Markup Amount}
\][/tex]

Plug in the values:

[tex]\[
\text{Retail Price} = 112 + 44.80
\][/tex]

5. Determine the Retail Price:
- After performing the addition:

[tex]\[
\text{Retail Price} = 156.80
\][/tex]

6. Expression for Retail Price:
- The expression that combines the wholesale price with the markup amount can be written as:

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

So, the correct expression to use is:

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

Hence, the expression that can be used to find the retail price of the item is:

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

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