A clothing store is selling a shirt for a discounted price of $43.61. If the discount is 11%, what was the original price, in dollars, of the shirt? Do not include units in your answer.

Respuesta :

Answer:

$49

Step-by-step explanation:

Given that the discounted price is $43.61 and this was at an 11% discount

hence the discounted price represents 100% - 11% = 89% of the original price.

if:

89% of original price = $43.61

1% of original price = $(43.61 / 89)

100% of original price = $(43.61 / 89) x 100 = $49

Answer: the original price of the shirt is 49

Step-by-step explanation:

Let x represent the original price of the shirt.

The clothing store is selling the shirt for a discounted price of $43.61. This is the current price of the shirt. If the discount is 11%, it means that the amount by which the original price dropped would be

11/100 × x = 0.11 × x = 0.11x

Therefore, original price - discount = current price. It becomes

x - 0.11x = 43.61

0.89x = 43.61

x = 43.61/0.89 = 49