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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 ## This morning, a certain sugar container was full. Since then tagged by: swerve ##### This topic has 2 expert replies and 1 member reply ### Top Member ## This morning, a certain sugar container was full. Since then ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult This morning, a certain sugar container was full. Since then some of the sugar from this container was used to make cookies. If no other sugar was removed from or added to the container, by what percent did the amount of sugar in the container decrease? 1) The amount of sugar in the container after making the cookies would need to be increased by 30 percent to fill the container. 2) Six cups of sugar from the container were used to make the cookies. The OA is A Source: GMAT Prep ### GMAT/MBA Expert GMAT Instructor Joined 22 Aug 2016 Posted: 1702 messages Followed by: 28 members Upvotes: 470 swerve wrote: This morning, a certain sugar container was full. Since then some of the sugar from this container was used to make cookies. If no other sugar was removed from or added to the container, by what percent did the amount of sugar in the container decrease? 1) The amount of sugar in the container after making the cookies would need to be increased by 30 percent to fill the container. 2) Six cups of sugar from the container were used to make the cookies. The OA is A Source: GMAT Prep Say the container had 100 grams of sugar and x grams was removed. Thus, it has (100 - x) grams of sugar now. We have to get the value of x/(100 - x). Let's take each statement one by one. 1) The amount of sugar in the container after making the cookies would need to be increased by 30 percent to fill the container. => (100 + 30)% (100 - x) = 100 We can get the unique value of x, thus, x/(100 - x). Sufficient. There is no need to calculate the value of x till we are sure that we get its unique value. 2) Six cups of sugar from the container were used to make the cookies. We have no information about how many cups of sugar the container takes. Insufficient. The correct answer: A Hope this helps! -Jay _________________ Manhattan Review Locations: Manhattan Review Jayanagar | GMAT Prep Tarnaka | GRE Prep Madhapur | Kukatpally GRE Coaching | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! [url=https://www.manhattanreview.com/gmat-prep-info/]Click here.[/u ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15025 messages Followed by: 1859 members Upvotes: 13060 GMAT Score: 790 swerve wrote: This morning, a certain sugar container was full. Since then some of the sugar from this container was used to make cookies. If no other sugar was removed from or added to the container, by what percent did the amount of sugar in the container decrease? 1) The amount of sugar in the container after making the cookies would need to be increased by 30 percent to fill the container. 2) Six cups of sugar from the container were used to make the cookies. The determine the percent decrease, we need to know the RATIO between the remaining amount of sugar after cookie-making and the original amount of sugar. Statement 1: Case 1: Remaining sugar after cookie-making = 10 pounds Since the remaimning amount of sugar would need to increase by 30% to fill the container, the original amount of sugar = 10 + (30% of 10) = 10 + 3 = 13 pounds. Resulting ratio: (remaining sugar)/(original sugar) = 10/13. Case 2: Remaining sugar after cookie-making = 20 pounds Since the remaining amount of sugar would need to increase by 30% to fill the container, the original amount of sugar = 20 + (30% of 20) = 20 + 6 = 26 pounds. Resulting ratio: (remaining sugar)/(original sugar) = 20/26 = 10/13. Since the resulting ratio in each case is the same, SUFFICIENT. Statement 2: Case 1: Original amount of sugar = 10 pounds, remaining amount after cookie-making = 10-6 = 4 pounds Resulting ratio: (remaining sugar)/(original sugar) = 4/10 = 2/5. Case 2: Original amount of sugar = 20 pounds, remaining amount after cookie-making = 20-6 = 14 pounds Resulting ratio: (remaining sugar)/(original sugar) = 14/20 = 7/10. Since the two cases yield different ratios, INSUFFICIENT. The correct answer is A. _________________ 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. ### Top Member Legendary Member Joined 02 Mar 2018 Posted: 777 messages Followed by: 1 members Let amount of sugar in container = x Statement 1 The amount of sugar in the container after making the cookies would need to be increased by 30% to fill the container. Let amount of sugar removed from the container = r Sugar needs to be increased by 30% to fill the container Therefore, $$\left(x-r\right)30\%\ +\left(x-r\right)=x$$ $$\frac{\left(x-r\right)30}{100}+\left(x-r\right)=x$$ $$\left(x-r\right)0.3+\left(x-r\right)=x$$ $$0.3x-0.3r+x-r=x$$ $$1.3x-1.3r=x$$ $$1.3x-x=1.3r$$ $$\frac{0.3x}{1.3}=r$$ $$r=0.23x$$ hence 0.23*100=23% of x ;23% of the total amount of sugar in the container has been removed, hence statement 1 is INSUFFICIENT. Statement 2 Six cups of sugar from the container were used to make cookies. There is no relationship between the number of cups used to make cookies and the percentage of of sugar decrease, moreover we are not given the specific quantity of cups in the amount of sugar in the container, hence Statement 2 is INSUFFICIENT. $$answer\ is\ OptionA$$ • Magoosh Study with Magoosh GMAT prep 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

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