Problem 33

Question

After a \(20 \%\) reduction, you purchase a television for \(\$ 336\) What was the television's price before the reduction?

Step-by-Step Solution

Verified
Answer
The original price of the television before the 20% discount was $420.
1Step 1: Understanding the Problem
The television was bought after a 20% discount had been applied. So, the $336 paid is actually 80% of the original price. Therefore, we can set up the equation \(336 = 0.80 * P\), where P is the original price of the television.
2Step 2: Solving for the Original Price
To solve for the original price, P, we can divide both sides of the equation by 0.80. Thus, the formula to find P is \( P = 336 / 0.80 \).
3Step 3: Calculate the Original Price
Carrying out the operations, we find that the original price of the television before the discount was $420.