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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 ## Z is 120% of Y. X is smaller than Z by 80%. What percentage tagged by: swerve ##### This topic has 3 expert replies and 0 member replies ### Top Member ## Z is 120% of Y. X is smaller than Z by 80%. What percentage Z is 120% of Y. X is smaller than Z by 80%. What percentage is X of Y? A. 96% B. 50% C. 45% D. 40% E. 24% The OA is E. If Z is 120% of Y, then Z=1.2Y, or Y = Z / 1.2. If X is smaller than Z by 80%, then X = 0.2Z. Finally, X / Y = 0.2Z / (Z/1.2) = 0.24 or 24%. Please, can any expert explain this PS question for me? I need your help. Thanks. ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12422 messages Followed by: 1244 members Upvotes: 5254 GMAT Score: 770 Top Reply swerve wrote: Z is 120% of Y. X is smaller than Z by 80%. What percentage is X of Y? A. 96% B. 50% C. 45% D. 40% E. 24% We can also solve this by assigning values that meet the given conditions. Z is 120% of Y So, let Z = 120 and let Y = 100 X is smaller than Z by 80%. In other words, X is 20% of Z If Z = 120, then X = 20% of 120 So, X = 24 What percentage is X of Y? 24/100 = 24% Answer: E Cheers, Brent _________________ Brent Hanneson â€“ Creator of GMATPrepNow.com Use our video course along with Sign up for our free Question of the Day emails And check out all of our free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMATâ€™s FREE 60-Day Study Guide and reach your target score in 2 months! ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12422 messages Followed by: 1244 members Upvotes: 5254 GMAT Score: 770 swerve wrote: If Z is 120% of Y, then Z=1.2Y, or Y = Z / 1.2. If X is smaller than Z by 80%, then X = 0.2Z. Finally, X / Y = 0.2Z / (Z/1.2) = 0.24 or 24%. Please, can any expert explain this PS question for me? I need your help. Thanks. Your algebraic solution is perfect. Cheers, Brent _________________ Brent Hanneson â€“ Creator of GMATPrepNow.com Use our video course along with Sign up for our free Question of the Day emails And check out all of our free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMATâ€™s FREE 60-Day Study Guide and reach your target score in 2 months! ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 14929 messages Followed by: 1855 members Upvotes: 13060 GMAT Score: 790 swerve wrote: Z is 120% of Y. X is smaller than Z by 80%. What percentage is X of Y? A. 96% B. 50% C. 45% D. 40% E. 24% Alternate approach: X/Y = X/Z * Z/Y. Since X is 80% less than Z, X is 20% of Z: X/Z = 20/100 = 1/5. Since Z is 120% of Y, we get: Z/Y = 120/100 = 6/5. Substituting X/Z = 1/5 and Z/Y = 6/5 into the blue equation above, we get: X/Y = 1/5 * 6/5 = 6/25 = 24/100 = 24%. The correct answer is E. _________________ 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. • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE 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 • Award-winning private GMAT tutoring Register now and save up to$200

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