Question

Finding the total cost including tax or markupThe wholesale price for a desk is 151. A certain furniture store marks up the wholesale price by 22%. Find the price of the desk in the furniture store.Round your answer to the nearest cent, as necessary.

Answer 1

`\}\text{\$ 184}.22`

Step-by-step explanation

to solver this we can use a rule of three

Step 1

let x represents 122% of the original cost

hence

`\begin{gathered} \text{if} \\ 100\text{ \%}\rightarrow\text{ \$ 151} \\ \text{then} \\ 122\text{ \% }\rightarrow x \end{gathered}`

Step 2

set the proportion and solve for x

`\begin{gathered} \frac{100\text{ \%}}{\text{ \$ 151}}=\frac{122\text{ \%}}{x} \\ (100)/(151)=(122)/(x) \\ \text{cross multiply} \\ 100\cdot x=122\cdot151 \\ 100x=18422 \\ \text{divide both sides by 100} \\ (100x)/(100)=(18422)/(100) \\ x=184.22 \\ \text{rounded} \\ x=184 \\ x=\text{ \$ 184} \end{gathered}`

therefore, the new price of the desk is

`\begin{gathered} x=\text{ \$ 184}.22 \\ \end{gathered}`