Question

Sam paid $475 wholesale for a bathtub that sells for $699 retail. What discount was given, to the nearest percent?

Answer 1

well, 699 - 475 is 224, so that was the discount amount.

if we take 699 as the 100%, what is 224 off of it as a percentage?

`\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 699&100\\ 224&x \end{array}\implies \cfrac{699}{224}=\cfrac{100}{x}\implies 699x=22400 \\\\\\ x=\cfrac{22400}{699}\implies x\approx 32.046\implies \stackrel{\textit{rounded up}}{x = 32}`