Question

using complements (with respect to 1) of the single discounts, find the net cost equivalent for the discount 10/20. the net cost equivalent is \square.

Explanation:

Step1: Understand the discount notation

The discount 10/20 means a 10% discount followed by a 20% discount. The complement of a discount rate \( r \) (with respect to 1) is \( 1 - r \), which represents the proportion of the original price that remains after the discount.

Step2: Find the complement of the first discount

For the first discount of 10% (or 0.10), the complement is \( 1 - 0.10 = 0.90 \).

Step3: Find the complement of the second discount

For the second discount of 20% (or 0.20), the complement is \( 1 - 0.20 = 0.80 \).

Step4: Calculate the net cost equivalent

To find the net cost equivalent, we multiply the two complements together. So, we calculate \( 0.90\times0.80 \).

\[
0.90\times0.80 = 0.72
\]

Answer:

\( 0.72 \)