natalia bought a dishwasher with a sticker price of $1100. if she paid $15 a week for two year, what was the approximate markup rate on the dishwasher?

A. 59.0%
B. 29.5%
C. 41.8%
D. 70.5%

1 answer

To find the approximate markup rate on the dishwasher, we first need to determine how much Natalia paid in total and then calculate the markup based on the sticker price.

  1. Calculate total amount paid:

    • Natalia pays $15 per week for 2 years.
    • There are 52 weeks in a year, so: \[ \text{Total weeks} = 2 \text{ years} \times 52 \text{ weeks/year} = 104 \text{ weeks} \]
    • Therefore, the total amount paid is: \[ \text{Total amount paid} = 15 \text{ dollars/week} \times 104 \text{ weeks} = 1560 \text{ dollars} \]
  2. Calculate the markup:

    • The markup is the amount paid minus the sticker price. \[ \text{Markup} = \text{Total amount paid} - \text{Sticker price} = 1560 - 1100 = 460 \text{ dollars} \]
  3. Calculate the markup rate:

    • The markup rate is calculated as the markup divided by the sticker price: \[ \text{Markup rate} = \left( \frac{\text{Markup}}{\text{Sticker price}} \right) \times 100 \] \[ \text{Markup rate} = \left( \frac{460}{1100} \right) \times 100 \approx 41.82% \]
  4. Choose the closest answer: The approximate markup rate is 41.8%. Therefore, the correct answer is:

C. 41.8%