Questions: You are the manager of a camera store. Use the advertisement to answer the questions. (Round dollars to the nearest cent and percents to the nearest whole %.) CyberShooter 2400 199.99 PowerShooter 1800 129.99 (a) If the CyberShooter 2400 has a cost of 172.50, what is the amount of the markup? (b) What is the percent markup based on cost? (c) If the PowerShooter 1800 marked up by the same percent as the CyberShooter 2400, what is its cost? (d) If the PowerShooter 1800 is marked up by 30% based on cost, what is the cost? (e) What is the cost of the PowerShooter 1800 if the percent markup based on cost is 25%?

Solution Steps

(a) To find the amount of the markup for the CyberShooter 2400, subtract the cost from the selling price.

(b) To find the percent markup based on cost, divide the markup amount by the cost and multiply by 100 to convert it to a percentage.

(c) To find the cost of the PowerShooter 1800 with the same percent markup as the CyberShooter 2400, use the percent markup calculated in part (b) and solve for the cost using the selling price.

The markup for the CyberShooter 2400 is calculated as follows: \[ \text{Markup} = \text{Selling Price} - \text{Cost} = 199.99 - 172.50 = 27.49 \]

The percent markup based on cost is given by: \[ \text{Percent Markup} = \left( \frac{\text{Markup}}{\text{Cost}} \right) \times 100 = \left( \frac{27.49}{172.50} \right) \times 100 \approx 15.94\% \]

To find the cost of the PowerShooter 1800 using the same percent markup as the CyberShooter 2400: \[ \text{Cost} = \frac{\text{Selling Price}}{1 + \left( \frac{\text{Percent Markup}}{100} \right)} = \frac{129.99}{1 + 0.1594} \approx 112.12 \]

Final Answer