Question

a sporting goods store manager was selling a ski set for a certain price. the manager offered the markdowns shown, making the one - day sale price of the ski set $327. find the original selling price of the ski set. (round to the nearest cent as needed.) the original selling price of the ski set was $

Explanation:

Step1: Calculate total discount rate

First, apply the 10% discount, then the 30% discount on the already discounted price. The total multiplier for the original price $P$ is $(1-0.10)\times(1-0.30) = 0.90\times0.70 = 0.63$

Step2: Set up equation for sale price

The sale price equals original price times the total discount multiplier:
$\$327 = P \times 0.63$

Step3: Solve for original price

Rearrange to solve for $P$:
$P = \frac{327}{0.63}$

Answer:

$\$519.05$