Question

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.

Answer 1

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 $x$ be the original price:

                                          280/$x$ = 70/100

Cross multiply:           280 x 100 = 70 x $x$

                                        28000 = 70$x$

Divide both sides by 70:     400 = $x$

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