• NEW! FREE Beat The GMAT Quizzes
Hundreds of Questions Highly Detailed Reporting Expert Explanations
• 7 CATs FREE!
If you earn 100 Forum Points

Engage in the Beat The GMAT forums to earn
100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## OG The estimated number of homeschooled students ##### This topic has 5 expert replies and 1 member reply ## OG The estimated number of homeschooled students ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult According to the table shown, the estimated number of home-schooled students in State A is approximately what percent greater than the number in State D? A. 25% B. 55% C. 100% D. 125% E. 155% D ### GMAT/MBA Expert GMAT Instructor Joined 22 Aug 2016 Posted: 1984 messages Followed by: 30 members Upvotes: 470 AbeNeedsAnswers wrote: According to the table shown, the estimated number of home-schooled students in State A is approximately what percent greater than the number in State D? A. 25% B. 55% C. 100% D. 125% E. 155% D The estimated number of home-schooled students in State A is greater than the number in State D by 181 - 79 = 102 Thus, the estimated number of home-schooled students in State A is approximately what percent greater than the number in State D by (102/79)*100% Calculation of (102/79)*100% is challenging without a calculator, however, we can make 102 and 79 smart numbers to ease the calculation. Since the question itself asks for an approximate value, it is expected that we would face ugly numbers. (102/79)*100% = ~(100/80)*100% = ~125% Th actual answer would be greater than 125% since we decreased the numerator by 2 and increased the denominator by 1; however, we need not go deep into this as option E (155%) is far greater than ~125%. The correct answer: D Hope this helps! Download free ebook: Manhattan Review GMAT Quantitative Question Bank Guide -Jay _________________ Manhattan Review GMAT Prep Locations: New York | Singapore | London | Dubai | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here. ### GMAT/MBA Expert GMAT Instructor Joined 12 Sep 2012 Posted: 2635 messages Followed by: 116 members Upvotes: 625 Target GMAT Score: V51 GMAT Score: 780 % greater = 100 * ((new value - old value)/(old value) - 1) so 100 * ((181 - 79) / 79 - 1) => 100 * ((102 / 79) - 1) => Since 102/79 is pretty close to 4/3, we can say that this is about 100 * (4/3 - 1) or 33% D is the closest to this, so we're good to go. Enroll in a Veritas Prep GMAT class completely for FREE. Wondering if a GMAT course is right for you? Attend the first class session of an actual GMAT course, either in-person or live online, and see for yourself why so many students choose to work with Veritas Prep. Find a class now! ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10197 messages Followed by: 496 members Upvotes: 2867 GMAT Score: 800 Hi All, We're told that the estimated number of home-schooled students in State A is approximately what PERCENT GREATER than the number of students in State. While the formal use of the Percent Change Formula will certainly get you the correct answer, the numbers we're dealing with - along with the 'spread' of the Answer choices - provide a nice 'logic shortcut' that you can use to get the correct answer without doing too much math. To start, it's worth noting that when a positive number is exactly DOUBLE another positive number, that larger number is 100% greater than the smaller number. In this prompt, the numbers that we're comparing are 181 and 79. If we round those numbers off, we have 180 and 80. Doubling 80 would give us 160. Since 180 is greater than 160, we know that 181 is MORE than 100% greater than 79. 180 is not that much greater than 160 though, so given the two Answers that are greater than 100%, Answer D is almost certainly the correct answer (since 125% fits the logic far better than 155% does). Final Answer: D GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2852 messages Followed by: 18 members Upvotes: 43 AbeNeedsAnswers wrote: According to the table shown, the estimated number of home-schooled students in State A is approximately what percent greater than the number in State D? A. 25% B. 55% C. 100% D. 125% E. 155% We can set up the following expression: (181,000 - 79,000)/79,000 x 100 Estimating, we have: (180,000 - 80,000)/80,000 x 100 100,000/80,000 x 100 10/8 x 100 = 5/4 x 100 = 125% Answer: D _________________ Scott Woodbury-Stewart Founder and CEO scott@targettestprep.com See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews Newbie | Next Rank: 10 Posts Joined 14 Oct 2018 Posted: 8 messages Hi, Regarding the solution below, how do we know what is the "new value" and the "old value" in this case that we are not really calculating a percentage change since both values take place in the same time period. Example, what if I was asked: what percent smaller is State D than State A? Is there a formula that applies specifically to these "percent greater or percent smaller" problems? Thanks! Matt@VeritasPrep wrote: % greater = 100 * ((new value - old value)/(old value) - 1) so 100 * ((181 - 79) / 79 - 1) => 100 * ((102 / 79) - 1) => Since 102/79 is pretty close to 4/3, we can say that this is about 100 * (4/3 - 1) or 33% D is the closest to this, so we're good to go. ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15361 messages Followed by: 1865 members Upvotes: 13060 GMAT Score: 790 estebanmorillo wrote: Hi, Regarding the solution below, how do we know what is the "new value" and the "old value" in this case that we are not really calculating a percentage change since both values take place in the same time period. Example, what if I was asked: what percent smaller is State D than State A? Is there a formula that applies specifically to these "percent greater or percent smaller" problems? Thanks! Percent greater or percent increase: (bigger value - smaller value)/(smaller value) * 100 Percent less or percent decrease: (bigger value - smaller value)/(bigger value) * 100 _________________ Mitch Hunt Private Tutor for the GMAT and GRE GMATGuruNY@gmail.com If you find one of my posts helpful, please take a moment to click on the "UPVOTE" icon. Available for tutoring in NYC and long-distance. For more information, please email me at GMATGuruNY@gmail.com. Student Review #1 Student Review #2 Student Review #3 Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now. • 1 Hour Free BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

Available with Beat the GMAT members only code

• Free Practice Test & Review
How would you score if you took the GMAT

Available with Beat the GMAT members only code

• Award-winning private GMAT tutoring
Register now and save up to \$200

Available with Beat the GMAT members only code

• Get 300+ Practice Questions

Available with Beat the GMAT members only code

• 5-Day Free Trial
5-day free, full-access trial TTP Quant

Available with Beat the GMAT members only code

• Free Veritas GMAT Class
Experience Lesson 1 Live Free

Available with Beat the GMAT members only code

• 5 Day FREE Trial
Study Smarter, Not Harder

Available with Beat the GMAT members only code

### Top First Responders*

1 Brent@GMATPrepNow 39 first replies
2 Ian Stewart 37 first replies
3 Jay@ManhattanReview 32 first replies
4 GMATGuruNY 26 first replies
5 Scott@TargetTestPrep 15 first replies
* Only counts replies to topics started in last 30 days
See More Top Beat The GMAT Members

### Most Active Experts

1 Scott@TargetTestPrep

Target Test Prep

199 posts
2 Max@Math Revolution

Math Revolution

90 posts
3 Brent@GMATPrepNow

GMAT Prep Now Teacher

71 posts
4 GMATGuruNY

The Princeton Review Teacher

45 posts
5 Ian Stewart

GMATiX Teacher

43 posts
See More Top Beat The GMAT Experts