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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]
### 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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