Discussion Forum

2019 AMC 8 Question 22

 
 
LensmireJohn的头像
Re: 2019 AMC 8 Question 22
LensmireJohn - 2020年04月9日 Thursday 17:00
 

Since the problem is about percentages, it is safe to assume a price for the shift, say it costs $100$ (this will be easier to calculate with). Then after the price change it costs $84$.

One way to solve the problem is to use algebra. Let $x$ be the percent it is raised and then decreased and write an equation to solve for $x$.

It is also possible to use the answer choices and see which one works. For example, answer choice B is $20\%$. This doesn't work because$$100\times 120\% \times 80\% = 96,$$which is not 84.