Question

using complements (with respect to 1) of the single discounts, find the net cost equivalent for the discount 20/30/5. the net cost equivalent is \boxed{}.

Explanation:

Step1: Find complement of 20% discount

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

Step2: Find complement of 30% discount

A 30% discount means we pay \(1 - 0.30 = 0.70\) of the price after the first discount.

Step3: Find complement of 5% discount

A 5% discount means we pay \(1 - 0.05 = 0.95\) of the price after the second discount.

Step4: Multiply the complements

To find the net cost equivalent, we multiply the three complements together: \(0.80\times0.70\times0.95\)
First, \(0.80\times0.70 = 0.56\)
Then, \(0.56\times0.95 = 0.532\)

Answer:

\(0.532\)