Question

using complements (with respect to 1) of the single discounts, find the net cost equivalent for the discount 40/20/15. the net cost equivalent is \\(\square\\).

Explanation:

Step1: Find complement of 40% discount

A 40% discount means we pay \(1 - 0.40 = 0.60\) of the original price.

Step2: Find complement of 20% discount

A 20% discount means we pay \(1 - 0.20 = 0.80\) of the price after the first discount.

Step3: Find complement of 15% discount

A 15% discount means we pay \(1 - 0.15 = 0.85\) of the price after the second discount.

Step4: Multiply the complements together

To find the net cost equivalent, we multiply these three complements: \(0.60\times0.80\times0.85\)
First, \(0.60\times0.80 = 0.48\)
Then, \(0.48\times0.85 = 0.408\)

Answer:

\(0.408\)