Answer:
$400
Step-by-step explanation:
The original price of the jacket = 100%
If the jacket was reduced by 30%, then the discounted price of the jacket = 100% - 30% = 70%
Therefore, $280 = 70% of the original price.
70% = 70/100 as a ratio
Using ratios, and letting [tex]x[/tex] be the original price:
280/[tex]x[/tex] = 70/100
Cross multiply: 280 x 100 = 70 x [tex]x[/tex]
28000 = 70[tex]x[/tex]
Divide both sides by 70: 400 = [tex]x[/tex]
Therefore, the original price of the jacket is $400
Alternatively, divide 280 by 70 to get the cost per 1%. Then multiply this by 100 to get the original price (100%):
(280 ÷ 70) x 100 = 400
