Question

Sam writes down two expressions that he believes represents the cost for a jacket that is marked down 30% of the regular price r when the sales tax is 8% of the markdown price. Which expression is correct?

expression A- 1.08(r-0.30r)

expression B- 1.08r-0.30r

Answer 1

The final price of the jacket will be expression A- 1.08(r - 0.30r).

Explanation:

The cost of a jacket that is marked down by 30% of the regular price (r) will be
`r (1 - (30)/(100)) = r(1 - 0.30) = r - 0.30r`.

Again, the cost of the same jacket after giving an 8% sales tax of the marked down price will be
`(r - 0.30r)(1 + (8)/(100)) = 1.08(r - 0.30r)`.

Therefore, the final price of the jacket will be expression A- 1.08(r - 0.30r). (Answer)