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Answer :
To solve the problem of determining the retail price of an item with a [tex]$40 \%$[/tex] markup on a wholesale price of [tex]$112, we start by understanding the concepts of wholesale price and markup.
1. Wholesale Price: This is the initial cost of the item, which is given as \$[/tex]112.
2. Markup: The markup refers to the percentage increase applied to the wholesale price to determine the selling price. Here, the markup is [tex]\(40\%\)[/tex].
3. Calculating the Markup Amount:
- The markup amount is calculated by multiplying the wholesale price by the markup percentage.
- Markup Amount = Wholesale Price × Markup Percentage
- Markup Amount = \[tex]$112 × 0.40 = \$[/tex]44.80
4. Finding the Retail Price:
- The retail price is the sum of the wholesale price and the markup amount.
- Retail Price = Wholesale Price + Markup Amount
- Retail Price = \[tex]$112 + \$[/tex]44.80 = \[tex]$156.80
Thus, the expression that can be used to find this retail price is \(\$[/tex]112 + 0.40(\$112)\), which is the correct choice from the options provided.
1. Wholesale Price: This is the initial cost of the item, which is given as \$[/tex]112.
2. Markup: The markup refers to the percentage increase applied to the wholesale price to determine the selling price. Here, the markup is [tex]\(40\%\)[/tex].
3. Calculating the Markup Amount:
- The markup amount is calculated by multiplying the wholesale price by the markup percentage.
- Markup Amount = Wholesale Price × Markup Percentage
- Markup Amount = \[tex]$112 × 0.40 = \$[/tex]44.80
4. Finding the Retail Price:
- The retail price is the sum of the wholesale price and the markup amount.
- Retail Price = Wholesale Price + Markup Amount
- Retail Price = \[tex]$112 + \$[/tex]44.80 = \[tex]$156.80
Thus, the expression that can be used to find this retail price is \(\$[/tex]112 + 0.40(\$112)\), which is the correct choice from the options provided.
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