Question

the list price of an item is $75.26. the supplier is offering a series trade discount of 14/24. find the net cost.

the net cost of the item is $\square.
(round to the nearest cent as needed.)

Explanation:

Step1: Calculate after first discount

A 14% discount means we pay \(100\% - 14\% = 86\% = 0.86\) of the list price.
So after the first discount, the price is \(75.26\times0.86\)
\(75.26\times0.86 = 64.7236\)

Step2: Calculate after second discount

A 24% discount on the already discounted price means we pay \(100\% - 24\% = 76\% = 0.76\) of the price after first discount.
So the net cost is \(64.7236\times0.76\)
\(64.7236\times0.76 = 49.19\) (rounded to the nearest cent)

Answer:

\(49.19\)