The price of a suit decreased from $280 to $182 during a clearance sale. What is the percent of decrease in the price? Round to the nearest percent, if necessary.



Answer :

280 - 182 = 98

98/280 * 100 = 35%

(You can gheck this: 35% of 280 = 98, so 280 - 98 = 182)

Hope this helps

we know that

The price $[tex] 280 [/tex] represent the [tex] 100 [/tex]%

Find the percentage of the price $[tex] 182 [/tex]

by proportion

[tex] \frac{280}{100} \frac{price}{percentage} = \frac{182}{x} \frac{price}{percentage} \\\\ x*280=182*100\\\\ x=\frac{182*100}{280} [/tex]

[tex] x=65 [/tex]%

Find the percentage decrease

Percentage decrease=[tex] 100-65=35 [/tex]%

therefore

the answer is

The percentage decrease is equal to [tex] 35 [/tex]%