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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 40\% 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 with a 40% markup, we can follow these steps:

1. Understand the Concept of Markup:
- A markup is an additional percentage added to the wholesale price to determine the selling price (retail price).

2. Calculate the Markup Amount:
- The markup is 40% of the wholesale price.
- To find out how much this is in dollars, we calculate 40% of $[/tex]112.
- A percentage can be converted to a decimal by dividing by 100, so 40% becomes 0.40.
- Multiply [tex]$112 by 0.40 to find the markup amount.

3. Compute the Markup in Dollars:
- \( \text{Markup amount} = 0.40 \times 112 \)
- The markup amount is $[/tex]44.80.

4. Determine the Retail Price:
- Add the markup amount to the original wholesale price to get the retail price.
- Retail price = Wholesale price + Markup amount
- Retail price = [tex]$112 + $[/tex]44.80
- The retail price is [tex]$156.80.

In conclusion, the expression that can be used to find the retail price, given the wholesale price and a specified markup percentage, is:

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

Thus, the correct choice is: \( \$[/tex]112 + 0.40(\$112) \).

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