Question

Nicole bought a new TV at Target for $384.87. if the TV was on sale for 25% off and she paid with her red card which earned her another 5% off , and the tax rate is 8.25% what was the original price of the TV ? Be sure to show how you arrived at your answer

Answer 1

Let x = the original price.

With 25% off, the price drops to
0.75x.
With another 5% off, the price drops to
0.95*(0.75x) = 0.7125x
Add 8.25% tax, and the price goes up to
1.0825*(0.7125x) = 0.7713x

This is equal to the amount paid, so
0.7713x = 384.87
x = 384.87/0.7713 = $498.99

Answer: Original price = $498.99