You buy a bicycle helmet for $22.26, which includes 6% sales tax. The helmet is discounted 30% off the selling price. What is the original price?

Answer 1

22.26 includes 6% sales tax

22.26 = 1.06P where P is the pretax price

P = 22.26/1.06= $21 without the tax

but P = 30% off the original price

P= 100%-30% = 70% of the original price

original price = P/.7 = 21/.7 = 210/7 = $30

the original price = $30