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The price of a wardrobe is decreased by 38% and now is $27.28.
Find the original price.


Sagot :

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