The complete question is:
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 $325. Find the original selling price of the ski set. It was marked down 10% and 30%
Answer:
- original price = $ 515.87
Step-by-step explanation:
1. Data:
a) Final price of the ski set: $ 325
b) First mark down: 10%
c) Second mark down: 30%
d) Original selling price: ?
2. Procedure:
First mark down:
- Final price = original price - first mark down - second mark down
- First mark down = 10% × original price = 0.10 × original price
- Price after first mark down = original price - 0.10 × original price = 0.90 × original price
Second mark down:
- Second mark down = 30% × price after first mark down = 0.30 × price after first mark down = 0.30 × 0.90 × original price
- Price after second mark down = price after first mark down - second mark down
- Price after second mark down = 0.90 × original price - 0.30 × 0.90 × original price = (1 - 0.30) × 0.90 × original price = 0.70 × 0.90 × original price
Final price:
- Final price = price after second mark down
- $ 325 = 0.70 × 0.90 × original price
Simplify and solve for the original price:
- $325 = 0.63 × original price
- original price = $325/0.63 = $515.87
Answer: original price = $ 515.87