Question

If the discount is 30% and the sale price is $206.50 what is the original price

Answer 1

let's say the original price is "x", so that'd be the 100%.

and we know that is discounted by 30%, 100% - 30% = 70%, we know the discounted price is 206.50, so namely 206.50 is the 70% then.

if 206.50 is 70% of "x", what is "x"?

`\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 206.50&70\\ x&100 \end{array}\implies \cfrac{206.50}{x}=\cfrac{70}{100}\implies \cfrac{206.50}{x}=\cfrac{7}{10} \\\\\\ 2065=7x\implies \cfrac{2065}{7}=x\implies 295=x`