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:
<u>original price = $ 515.87</u>
Explanation:
<u>1. Data:</u>
a) Final price of the ski set: $ 325
b) First mark down: 10%
c) Second mark down: 30%
d) Original selling price: ?
<u>2. Procedure:</u>
<u />
<u>First mark down</u>:
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
<u>Second mark down</u>:
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
The circles are concentric. I.e there is no point where the circumferences of both circles ever touch each other. Hence there can be no tangent line possible that can be common to both circles at the same time.
