We are given the following information
Cost of the sweater = $33.95
Markup = 70%
We are asked to find out the selling price of the sweater.
The selling price is given by
![SP=((CP)/(100\%-MP))*100](https://img.qammunity.org/2023/formulas/mathematics/college/rcr3ra310e75w6pykdy1wa2v47h9hn6teh.png)
Where SP is the selling price
CP is the cost price
MP is the markup percentage
So the selling price becomes
![\begin{gathered} SP=((33.95)/(100-70))*100 \\ SP=((33.95)/(30))*100 \\ SP=\$113.167 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/b8kam2f4st5xqf6e6klrwqhus804bamdxz.png)
Therefore, the selling price is $113.167