Question

A sporting goods store manager was selling a ski set for a certain price. The manager offered the markdowns shown below, making the one-day sale price of the ski set. The ski set was 10% off and with an extra 30% off.

Answer 1

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

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