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.

Verified 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

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Find the percentage of the price $\(182\)

by proportion

\(\frac{280}{100} \frac{price}{percentage} = \frac{182}{x} \frac{price}{percentage} \\\\ x*280=182*100\\\\ x=\frac{182*100}{280}\)

\(x=65\)%

Find the percentage decrease

Percentage decrease=\(100-65=35\)%

therefore

the answer is

The percentage decrease is equal to \(35\)%