After a 20% reduction, a 42-inch HDTV sold for \$256. What was the price before the reduction?

Guida verificata passo dopo passo

Understand that the price after a 20% reduction means the HDTV was sold for 80% of its original price, because 100% - 20% = 80%.

Let the original price be represented by

P

. The reduced price is then

0.8 	imes P

Set up the equation based on the information given:

0.8 	imes P = 256

To find the original price

P

, divide both sides of the equation by 0.8:

P = rac{256}{0.8}

Simplify the division to express the original price before the reduction.

Risposta video verificata per un problema simile:

Questa soluzione video è stata consigliata dai nostri tutor come utile per risolvere questo problema.

Durata del video:

Concetti chiave

Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.

Percentage Reduction

A percentage reduction represents a decrease in the original amount by a certain percent. In this problem, a 20% reduction means the final price is 80% of the original price, since 100% - 20% = 80%. Understanding this helps relate the sale price to the original price.

Original Price Calculation

To find the original price before a percentage reduction, divide the reduced price by the remaining percentage expressed as a decimal. For example, if the price after a 20% reduction is $256, the original price is $256 ÷ 0.8. This reverses the effect of the reduction.

Video consigliato:

5:59

Graph Hyperbolas NOT at the Origin

Decimal and Percentage Conversion

Percentages must be converted to decimals for calculations by dividing by 100. For instance, 20% becomes 0.20, and 80% becomes 0.80. This conversion is essential for multiplying or dividing when solving problems involving percentage changes.

Video consigliato: