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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 with a 40% markup, you can follow these steps:

1. Understand the markup concept: A markup is an additional amount added to the wholesale price. In this case, it is 40% of the wholesale price.

2. Calculate the markup amount: You need to find 40% of the wholesale price. This is done by multiplying the wholesale price by the markup percentage (expressed as a decimal).

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

3. Compute the markup amount:

[tex]\[
\text{Markup amount} = \$44.80
\][/tex]

4. Find the retail price: To get the retail price, add the markup amount to the original wholesale price.

[tex]\[
\text{Retail price} = \$112 + \$44.80 = \$156.80
\][/tex]

Therefore, the correct expression to calculate the retail price is:
[tex]\[
\$112 + 0.40 (\$112)
\][/tex]

Using this expression, you will find that the retail price is \$156.80.

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