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Answer:
$44
Step-by-step explanation:
The original price of the wardrobe = 100%
If the wardrobe was decreased by 38%, then the discounted price of the wardrobe = 100% - 38% = 62%
Therefore, $27.28 = 62% of the original price.
62% = 62/100 as a ratio
Using ratios, and letting [tex]x[/tex] be the original price:
27.28/[tex]x[/tex] = 62/100
Cross multiply: 27.28 x 100 = 62 x [tex]x[/tex]
2728 = 62[tex]x[/tex]
Divide both sides by 62: 44 = [tex]x[/tex]
Therefore, the original price of the wardrobe was $44
Alternatively, divide 27.78 by 62 to get the cost per 1%. Then multiply this by 100 to get the original price (100%):
(27.78 ÷ 62) x 100 = 44