## Thinking Mathematically (6th Edition)

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%.