Question

After a 25% reduction, you purchase a television for $742.5. What was the television's price before the reduction?

Answer 1

After a 25% reduction.
So, 742,5 is 75% of the price.

Original price is called x.

`(75)/(100)x=742,5 \\ \\ 0,75x=742,5 \\ \\ x= (742,5)/(0,75) \\ \\ x=990 \\ \\ ANSWER = \$990`

Answer 2

$742.50 divided by 75% gives you $990.
You divide cause to get the discounted price you would multiply by 75%, so essentially you're undoing this operation.