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 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 at a 40% markup, follow these steps:

1. Identify the wholesale price: The wholesale price of the item is $[/tex]112.
2. Determine the markup percentage: The markup percentage is 40%.

3. Convert the markup percentage to a decimal: A 40% markup is equivalent to 0.40 in decimal form.

4. Calculate the amount of the markup:
[tex]\[
\text{Markup amount} = \text{Wholesale price} \times \text{Markup percentage}
\][/tex]
[tex]\[
\text{Markup amount} = 112 \times 0.40 = 44.8
\][/tex]

5. Add the markup amount to the wholesale price to find the retail price:
[tex]\[
\text{Retail price} = \text{Wholesale price} + \text{Markup amount}
\][/tex]
[tex]\[
\text{Retail price} = 112 + 44.8 = 156.8
\][/tex]

Therefore, the expression that can be used to find the retail price of the item is:
[tex]\[
112 + 0.40(112)
\][/tex]

So, the correct answer is:
[tex]\[
112 + 0.40(112)
\][/tex]

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