Question

Air hi produces a sports shoe that is priced at $114.49 when the new model was introduced, the $114.49 was discounted by 15% less 5%. What is the net price of the old model using the complement method?

Answer 1

The net price of the old model sports shoe is found by applying two sequential discounts to the original price. After taking 15% off, and then an additional 5% off, the net price is calculated to be $92.45.

Step-by-step explanation:

Calculating the Net Price Using the Complement Method

The original price of the sports shoe is $114.49. When discounts are applied sequentially, we first calculate the complement (which is the remaining percentage of the price after the discount). A 15% discount means that 85% of the price remains (100% - 15%). Next, an additional 5% discount is applied. To find out the complement of the second discount, we calculate 100% - 5% = 95%. The net price is determined by multiplying the original price by both complements (as decimals).

First Discount: $114.49 x 0.85 = $97.3165

Second Discount: $97.3165 x 0.95 = $92.450675

Therefore, the net price of the old model sports shoe using the complement method is $92.45 (rounded to two decimal places).