Question

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

Answer 1

$44

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
`x` be the original price:

27.28/
`x` = 62/100

Cross multiply: 27.28 x 100 = 62 x
`x`

2728 = 62
`x`

Divide both sides by 62: 44 =
`x`

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