Question

You buy a bicycle helmet for $22.26, which includes 6% sales tax. The helmet was discounted 30% when you purchased it, what was the original price of the bicycle helmet?

Answer 1

The correct answer is:

$30

Step-by-step explanation:

Let the discounted price be x.

cost of bicycle at discounted price and tax = $22.26

x + (6% of x) = 22.26

x + (0.06x) = 22.26

1.06x = 22.26

∴ x =
`(22.26)/(1.06) = 21`

Therefore discounted price of bicycle without tax = $21.

Next, let us calculate the original price before discount, and let original price be y.

remember, discount value = 30% = 0.3

Original price - (30% of original price) = $21 (discount price)

y - (0.3y) = 21

0.7y = 21

∴ y = 21 ÷ 0.7 = $30. Hence original price = $30