Question

A bike is on sale for 260 which is 35%off it’s original price what’s the original price

Answer 1

the orginal price is really "x", which oddly enough is the 100%, but we also know that 260 is 35% off that, so 260 is really 100% - 35% = 65% of the original price, so

`\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 260& 65 \end{array} \implies \cfrac{x}{260}~~=~~\cfrac{100}{65} \\\\\\ \cfrac{ x }{ 260 } ~~=~~ \cfrac{ 20 }{ 13 }\implies 13x=5200\implies x=\cfrac{5200}{13}\implies x=400`