Answer:
B. $68.58
Step-by-step explanation:
Let the original price be x.
The markdown percentage is 22% so the markdown amount is .22x
The new price would be
x - .22x or .78x and the new price is 53.49
.78x = 53.49
Divide each side by .78
x = 53.49/.78
x = 68.58
The original price is 68.58
To calculate the original price of the dress on sale for $53.49 with a markdown of 22%, reverse the discount calculation. The original price is found to be approximately $68.58, which is option B.
To find the original price of a dress on sale, one must reverse the percentage markdown. Given that the dress is on sale for $53.49 and the markdown percent is 22%, we can set up an equation to find the original price (P). The sale price is equal to the original price minus the discount (which is 22% of the original price), thus:
Sale Price = P - (22% of P)
We can also express 22% as a decimal, which is 0.22, so the equation becomes:
$53.49 = P - (0.22 * P)
Combining like terms, we get:
$53.49 = P * (1 - 0.22)
$53.49 = P * 0.78
To find the original price P, we divide the sale price by 0.78:
P = $53.49 / 0.78
P approx = $68.58
Therefore, the original price of the dress was roughly $68.58, which corresponds to option B.
