Questions: After a series discount of 10 / 11, a GPS had a net cost of 180.84. What is the list price? The list price of the GPS is 198.92.

Solution Steps

To find the list price of the GPS, we need to reverse the series discount applied to the net cost. Given the net cost and the discount rate, we can calculate the list price by dividing the net cost by the remaining percentage after the discount.

We are given the net cost of the GPS, which is \( \$180.84 \), and the discount rate, which is \( \frac{10}{11} \).

The remaining percentage after applying the discount can be calculated as: \[ 1 - \frac{10}{11} = \frac{1}{11} \]

To find the list price \( P \), we use the formula: \[ P = \frac{\text{net cost}}{\text{remaining percentage}} = \frac{180.84}{\frac{1}{11}} = 180.84 \times 11 \] Calculating this gives: \[ P = 1989.24 \]

Final Answer