Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 8 - Personal Finance - 8.1 Percent, Sales Tax and Discounts - Exercise Set 8.1: 58

Answer

The salesperson is not using percentages properly. The actual percent reduction from the original price is 44%.

Work Step by Step

Let $P$ be the original price. If the price decreased by 30%, then the reduced price is $0.7~P$ If the price is reduced another 20%, then the final price is 80% of the reduced price. We can find the final price. $final~price = (0.8)(0.7~P) = 0.56~P$ The final price is a reduction of $0.44~P$, which is a reduction of 44%. The salesperson is not using percentages properly. The actual percent reduction from the original price is 44%.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.