Question

A dress that normally sells for $72 is on sale for $45. What is the percent decrease in the price?​

Answer 1

well, the difference of it is 72 - 45 = 27,

if we take 72 to be the 100%, what is 27 off of it in percentage?

`\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 72&100\\ 27&x \end{array}\implies \cfrac{72}{27}=\cfrac{100}{x}\implies \cfrac{8}{3}=\cfrac{100}{x}\implies 8x=300 \\\\\\ x= \cfrac{300}{8}\implies x = \cfrac{75}{2}\implies x = 37.5`

Answer 2

Answer: The required percent decrease in the price is 37.5%.

Step-by-step explanation: Given that a dress that normally sells for $72 is on sale for $45.

We are to find the percent decrease in the price.

The decrease in the price of the dress is given by

`d_p=72-45=27.`

Therefore, the percent decrease in the price is

`p\\\\\\=(d_p)/(72)*100\%\\\\\\=(27)/(72)*100\%\\\\\\=0.375*100\%\\\\=37.5\%.`

Thus, the required percent decrease in the price is 37.5%.