Additional discount after initial markdown A fan lists at $1,500. It is first discounted by 20%. What additional single discount on the reduced price will bring the net price down to $1,104?

Introduction / Context:After an initial discount, further discounts apply to the already reduced price. To reach a specified final price, compute the required additional percentage on the reduced base, not on the original list price.

Given Data / Assumptions:

• List price = $1,500.
• First discount = 20% ⇒ reduced price = 1,500 * 0.80 = $1,200.
• Desired final price = $1,104.

Concept / Approach:If x is the additional discount rate, then 1,200 * (1 − x) = 1,104. Solve for x as a decimal or percent. Remember this x is on the reduced price of $1,200.

Step-by-Step Solution:1,200 * (1 − x) = 1,104.1 − x = 1,104 / 1,200 = 0.92.x = 1 − 0.92 = 0.08 = 8%.

Verification / Alternative check:Apply: 1,500 → 20% off → 1,200; then 8% off 1,200 → 1,200 * 0.92 = $1,104, which confirms the result exactly.

Why Other Options Are Wrong:10%, 12%, or 15% would overshoot; 6% would not reduce far enough to $1,104.

Common Pitfalls:Taking the second discount on the original list price. Successive discounts always apply to the current (already reduced) price.

Final Answer:8 %