Question

a bracelet had a net cost to a jeweler of $80.63 after a series trade discount of 7/18/8. find the list price to the jeweler.

the list price to the jeweler is $\square.
(round to the nearest cent as needed.)

Explanation:

Step1: Convert discounts to decimals

A discount of 7% means the remaining rate is \(1 - 0.07 = 0.93\). A discount of 18% means the remaining rate is \(1 - 0.18 = 0.82\). A discount of 8% means the remaining rate is \(1 - 0.08 = 0.92\).

Step2: Multiply the remaining rates

To find the net cost rate, multiply the three remaining rates: \(0.93\times0.82\times0.92\). First, \(0.93\times0.82 = 0.7626\). Then, \(0.7626\times0.92 = 0.701592\).

Step3: Solve for list price

Let \(L\) be the list price. We know that net cost \(= L\times\) net cost rate. So, \(80.63 = L\times0.701592\). Solving for \(L\), we get \(L=\frac{80.63}{0.701592}\approx114.92\).

Answer:

\(114.92\)