Beacon Electronics advertised a portable TV set on sale for $272.49 after a 35% markdown from the original price. What was the original price of the TV set? (Round to the nearest cent.

$272.49 = (1-.35)x

Solve for x.

$272.49 = ( 1- .35) x

$272.49 / 0.65 = $419.22 rounded

To find the original price of the TV set, we need to reverse the 35% markdown and calculate the original price.

Step 1: Calculate the original price after the markdown
Let's assume the original price of the TV set is "x".
The markdown of 35% means the TV set is sold at 100% - 35% = 65% of the original price.
So, 65% of the original price "x" is equal to $272.49.

Step 2: Solve for the original price "x"
To find the original price "x", we can set up the following equation:
65% of x = $272.49

To solve this equation, we need to divide both sides by 65% (or 0.65 as a decimal):
x = $272.49 / 0.65

Using a calculator, we can find:
x ≈ $419.22 (rounded to the nearest cent)

Therefore, the original price of the TV set was approximately $419.22.