GRE quant problem walkthrough: Percent Change

Tyler York

In this video, Achievable GRE course author Matt Roy explains how to use number properties to automatically eliminate answer choices in multiple choice questions. He will show you how to determine if a sum or product must be odd or even.

Try this percent change problem yourself in our GRE prep course.

If you’re looking for a comprehensive course that will help you reach your target GRE score in less time, try Achievable’s GRE exam prep course. Our GRE course includes a full textbook, videos on key topics, tons of GRE questions backed by our memory-enhancing algorithm, built-in study-planner, machine-learning essay grader, and 10+ full-length practice exams.

Full GRE quant problem walkthrough: Percent Change video transcript:

This next problem is a percentage change question that, as you will see, is much easier to tackle if you plug in numbers. So let's read it together. At Harley Incorporated, all team members are compensated on an individual pay rate. The amount Ready currently earns is equivalent to 80% of the wages of Haven, and the rate of Haven comes out to be 82% of the wages Charlie earns.
If Charlie were to get a nine percent raise and the other team members compensation does not change, what percent of Charlie's wages would be equivalent to the earnings of Remy? And finally, you should round to the nearest percent. So the first thing I should say is it's definitely easiest to plug in numbers and with percentage change questions.
The most important number that you should always be plugging in is 100. And that's because, for example, a 10% increase of 100 is just 110 because that is 10 more and out of 110% is just 10. It makes it much easier to do calculations with percentage change problems when you plug in 100. So for Charlie's wages, because everything is based off of Charlie's wages, we're going to plug in 100, it says that haven.
Is 82% of Charlie's wages, so 82% of 100 is just naturally 82. You could put it in the calculator if you want .82 * 100 is 82. Now Remy is 80% of Haven's wages, so we need to put this into a calculator. .8 * 82 is going to be Remy's wages that will equal 65.6.
So if Remy gets 65 point $6 and the initial person which was Charlie gets a nine percent raise, what would the 9% raise be? By the way, that would be $9 from 109 dollars more, which is 109 dollars.
So if Charlie's final wages is $109 and Remmy's final wages is 65 point $6, the question asks what percent of Charlie's wages is Remmy's wages? So we just put in a fraction, we put Remmy's wages on the top, Charlie's wages on the bottom, and we solve for the percentage you should get .6018, which is closest to 60%. And that's the final answer.
Achievable GRE - $199
Achievable's GRE course includes endless quantitative quizzes, 10 verbal reasoning practice exams, 1,500 vocabulary flashcards, and our easy-to-understand online textbook with proven strategies to hit your target score.
View GRE prep course
Desktop and mobile screenshots of Achievable GRE
All rights reserved ©2016 - 2023 Achievable, Inc.