Answered

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During the New Year Festive Bonanza, the price of a jacket was reduced by 30%. Find the original price of the jacket when it cost $280 in the sale.

Sagot :

semsee45

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

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