Question

A table is on sale for 74% off. The sale price is $202.80. What is the regular price?

Answer 1

the regular price is "x", which oddly enough is the 100%.

now, the table is 74% off, so that means the sale price is really 100% - 74% = 26%, so is really 26% of the regular price, and we know that's $202.80.

`\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 202.80& 26 \end{array} \implies \cfrac{x}{202.80}~~=~~\cfrac{100}{26} \implies \cfrac{x}{202.80}=\cfrac{50}{13} \\\\\\ 13x=(202.80)(50)\implies x=\cfrac{(202.80)(50)}{13}\implies x=780`