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Chapter 0: Problem 15

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

Short Answer

Expert verified
The television's price before the reduction was \$420.

Step by step solution

01

Identify the Percentage Amount

The current price \$336 constitutes 80% of the original price, since the television has been reduced by 20%.
02

Set up the Equivalence

Now an equivalence can be set up as follows: 80% is to \$336 as 100% is to the original price. This can be expressed as the proportion \(80/100 = 336/x\), where \(x\) represents the original price.
03

Solve for x

Cross-multiply the proportion to obtain the equation \(80*x = 100*336\). Solve this to find \(x\), the original price of the television before the reduction.
04

Final calculation

Solving the equation gives \(x = (100*336)/80\). Therefore, the original price of the television was \$420 before the reduction.

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