Question

a bracelet had a net cost to a jeweler of $96.19 after a series trade discount of 8/15/12. 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 8% means we pay \(1 - 0.08 = 0.92\) of the price, a 15% discount means we pay \(1 - 0.15 = 0.85\) of the price, and a 12% discount means we pay \(1 - 0.12 = 0.88\) of the price.

Step2: Multiply the complement rates

To find the net cost rate, we multiply the three complement rates together: \(0.92\times0.85\times0.88\)
First, \(0.92\times0.85 = 0.782\), then \(0.782\times0.88 = 0.68816\)

Step3: Solve for list price

Let \(L\) be the list price. We know that the net cost is \(L\times0.68816 = 96.19\). So, \(L=\frac{96.19}{0.68816}\)
Calculating this, \(L\approx139.78\)

Answer:

\(139.78\)