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

$400

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