Question

after a series discount of 18/16, a gps had a net cost of $166.57. what is the list price?
the list price of the gps is $\square.
(round to the nearest cent as needed.)

Explanation:

Step1: Convert discounts to decimals

A discount of 18% means we pay \(1 - 0.18 = 0.82\) of the price. A discount of 16% means we pay \(1 - 0.16 = 0.84\) of the price.

Step2: Find the product of the remaining fractions

To find the net cost factor, we multiply the two remaining fractions: \(0.82\times0.84 = 0.6888\)

Step3: Solve for list price

Let \(L\) be the list price. We know that the net cost is \(L\times0.6888 = 166.57\). So, \(L=\frac{166.57}{0.6888}\)
Calculating this, \(L\approx241.83\)

Answer:

\(241.83\)