Question

A jacket was $50 and is now on sale for $35. What is the percent change in the cost?

Answer 1

-30%

Explanation:

The decrease in price was $15.

Divide $15 by $50, obtaining 0.30, which in turn is mult. by 100%.

The percentage change, from $50 to $35, was -30%.

Answer 2

from 50 to 35 is 15, so it went down by $15.

if we take 50 to be the 100%, what is 15 off of it in percentage?

`\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 50&100\\ 15&x \end{array}\implies \cfrac{50}{15}=\cfrac{100}{x}\implies \cfrac{10}{3}=\cfrac{100}{x}\implies 10x=300 \\\\\\ x=\cfrac{300}{10}\implies x=30`