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
[tex]SP=(\frac{CP}{100\%-MP})\times100[/tex]Where SP is the selling price
CP is the cost price
MP is the markup percentage
So the selling price becomes
[tex]\begin{gathered} SP=(\frac{33.95}{100-70})\times100 \\ SP=(\frac{33.95}{30})\times100 \\ SP=\$113.167 \end{gathered}[/tex]Therefore, the selling price is $113.167