Multiple choice

Rocky bought a coat for $26.01 after getting 15% discount and paying 2% tax on the discounted price. What was the marked price?

  1. $29.91
  2. $30
  3. $29.31
  4. $25.00
  5. $25.50
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let marked price be M. Discounted price = 0.85M. Final price = 0.85M * 1.02 = 26.01. 0.867M = 26.01. M = 26.01 / 0.867 = 30.

AI explanation

Using the marked price as 100, the discounted price becomes 85, and adding the 2% tax on this amount results in a final factor of 85 x 1.02 = 86.7. We can now set up the proportion 100 / 86.7 = Marked Price / 26.01. Solving for the marked price gives 26.01 x 100 / 86.7 = $30.