Question

Ryan buys a clock for $75 and sells it for $100. His gain percent was?

Answer 1

just a quick addition to "MathExpert321" great reply above.

he's got the clock for $75, sold it for $100, he's got a gain of $25.

if we take 75 to be the 100%, what's 25 off of it in percentage?

`\begin{array}{ccll} Amount&\%\\ \cline{1-2} 75 & 100\\ 25& x \end{array} \implies \cfrac{75}{25}~~=~~\cfrac{100}{x} \\\\\\ 3 ~~=~~ \cfrac{100}{x}\implies 3x=100\implies x=\cfrac{100}{3}\implies x=33.\overline{33}`

Answer 2

`\boxed{33.333...\%}`

Explanation:

Ryan has gained $25 from the transactions, meaning that he gained
`(1)/(3)` of the amount of money he bought the clock for. This means that his gain percent is
`\boxed{33.333...\%}`.