A flat-screen television was marked down by 35 percent, which reduced its price by $115.65. What was the original cost of the television before it was marked down?

Question

$214.78
$330.43
$404.78
$4,047.75

Answer 1

To find the original cost of the television before it was marked down, we can use the information that a 35 percent reduction in price corresponds to a decrease of $115.65.

Let \( x \) be the original cost of the television. Then, we can express the relationship as follows:

\[ 0.35x = 115.65 \]

To find \( x \), we solve for it by dividing both sides by 0.35:

\[ x = \frac{115.65}{0.35} \]

Calculating that gives:

\[ x = 330.43 \]

Thus, the original cost of the television before it was marked down is \( \boxed{330.43} \).