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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 ## If x is 8/3 percent of y, y is what percent of x? tagged by: Brent@GMATPrepNow ##### This topic has 5 expert replies and 1 member reply ### GMAT/MBA Expert ## If x is 8/3 percent of y, y is what percent of x? If x is 8/3 percent of y, y is what percent of x? A. 3/8 B. 37.5 C. 375 D. 3,750 E. 3.75 _________________ Math Revolution Finish GMAT Quant Section with 10 minutes to spare. The one-and-only Worldâ€™s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. Only$149 for 3 month Online Course
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==> according to ivy approach, from x=(8/3)(1/100)y, y=(something)(1/100)x, we get y=(something)(1/100)(8/3)(1/100)y, if we substitute x into y. If we cancel y from both sides of the equation, we get something=3,750. Hence, the correct answer is D.

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Only $149 for 3 month Online Course Free Resources-30 day online access & Diagnostic Test Unlimited Access to over 120 free video lessons-try it yourself Email to : info@mathrevolution.com ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12975 messages Followed by: 1249 members Upvotes: 5254 GMAT Score: 770 Max@Math Revolution wrote: If x is 8/3 percent of y, y is what percent of x? A. 3/8 B. 37.5 C. 375 D. 3,750 E. 3.75 x is 8/3 percent of y Let's plug in some nice values for x and y that satisfy the above conditions. We know that 8/3 is 8/3 percent of 100. So, x = 8/3 and y = 100 works y is what percent of x? In other words, 100 is what percent of 8/3? Rewrite as 100 is what percent of 2 2/3? Well, 100 is about 40 TIMES 2 2/3 If we express 40 as a percent we get 4000% So, our answer will be close to 4000 Answer: D RELATED VIDEOS - Introduction to percent: https://www.gmatprepnow.com/module/gmat-arithmetic/video/1073 - Working with percent: https://www.gmatprepnow.com/module/gmat-arithmetic/video/1074 _________________ Brent Hanneson â€“ Creator of GMATPrepNow.com Use my video course along with Sign up for free Question of the Day emails And check out all of these 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! Newbie | Next Rank: 10 Posts Joined 07 Aug 2018 Posted: 1 messages I assume y=300 and hence x=8 to satisfy the given. Now when i back-calculate y (i.e. 300) is what pc of x (i.e 8); I get 37.5%. Should not the answer be B? Max@Math Revolution wrote: ==> according to ivy approach, from x=(8/3)(1/100)y, y=(something)(1/100)x, we get y=(something)(1/100)(8/3)(1/100)y, if we substitute x into y. If we cancel y from both sides of the equation, we get something=3,750. Hence, the correct answer is D. Answer: D ### GMAT/MBA Expert GMAT Instructor Joined 09 Apr 2015 Posted: 1465 messages Followed by: 18 members Upvotes: 39 Max@Math Revolution wrote: If x is 8/3 percent of y, y is what percent of x? A. 3/8 B. 37.5 C. 375 D. 3,750 E. 3.75 We are given that x = (8/3)/100 * y, we need to express y in terms of x: x = 8/300 * y 300/8 * x = y 37.5x = y Since 37.5 = 3,750%, we see that y is 3,750% of x. Answer: D _________________ Jeffrey Miller Head of GMAT Instruction jeff@targettestprep.com See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12975 messages Followed by: 1249 members Upvotes: 5254 GMAT Score: 770 Max@Math Revolution wrote: If x is 8/3 percent of y, y is what percent of x? A. 3/8 B. 37.5 C. 375 D. 3,750 E. 3.75 x percent = x/100 So, 8/3 percent = (8/3)/100 = (8/3)/(100/1) = (8/3)(1/100) = 8/300 GIVEN: x is 8/3 percent of y, We can write: x = 8/300 of y In other words: x = (8/300)(y) or......: x = 8y/300 y is what percent of x? Take: x = 8y/300 Multiply both sides by 300 to get: 300x = 8y Divide both sides by 8 to get: (300/8)x = y Rewrite 300/8 as 3750/100 to get: (3750/100)x = y In other words, y is 3750/100 of x In other words, y is 3750 PERCENT of x Answer: D Cheers, Brent _________________ Brent Hanneson â€“ Creator of GMATPrepNow.com Use my video course along with Sign up for free Question of the Day emails And check out all of these 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 Apr 2015 Posted: 2791 messages Followed by: 18 members Upvotes: 43 Max@Math Revolution wrote: If x is 8/3 percent of y, y is what percent of x? A. 3/8 B. 37.5 C. 375 D. 3,750 E. 3.75 Just as we can convert, say, 42% to a decimal as 42/100, we can convert (8/3)% to a decimal as (8/3)/100. Thus, the relationship between x and y is: x = (8/3)/100 * y x = 8/300 * y y = 300/8 * x y = 37.5 * x y = 3750/100 * x So y is 3750 percent of x. 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 • 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

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