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# In a certain year the United Nations total expenditures were

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In a certain year the United Nations total expenditures were [#permalink]  30 Jan 2008, 03:04
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In a certain year the United Nations’ total expenditures were $1.6billion. Of this amount, 67.8 percent was paid by the 6 highest-contributing countries, and the balance was paid by the remaining 153 countries. Was Country X among the 6 highest-contributing countries? (1) 56 percent of the total expenditures was paid by the 4 highest-contributing countries, each of which paid more than Country X. (2) Country X paid 4.8 percent of the total expenditures. [Reveal] Spoiler: OA Last edited by Bunuel on 04 Jul 2013, 01:32, edited 1 time in total. Added the OA. Director Joined: 12 Jul 2007 Posts: 862 Followers: 13 Kudos [?]: 240 [2] , given: 0 Re: GMATprep - DS Expenditures set [#permalink] 30 Jan 2008, 04:11 2 This post received KUDOS GHIBI wrote: In a certain year the United Nations’ total expenditures were$1.6billion. Of this amount, 67.8 percent was paid by the 6 highest-contributing countries, and the balance was paid by the remaining 153 countries. Was Country X among the 6 highest-contributing countries?

1) 56 percent of the total expenditures was paid by the 4 highest-contributing countries, each of which paid more than Country X.

2) Country X paid 4.8 percent of the total expenditures.

Top 6 countries pay 67.8%.
Was X among top 6?

1. Top 4 paid out 56%, X not among top 4.
2. X paid 4.8% of total.

If top 4 paid 56%, that leaves 67.8-56=11.8% of total expenditures left. X paid 4.8% of total. Now it could be in the top six.

Country 5: 7%
Country 6: 4.8%

OR, it might not be in the top five at all.

Country 5: 6%
Country 6: 5.8%

Last edited by eschn3am on 30 Jan 2008, 07:32, edited 1 time in total.
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Re: United Nations' total expenditure [#permalink]  09 Oct 2010, 13:02
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Orange08 wrote:
In a certain year the United Nations’ total expenditures were $1.6billion. Of this amount, 67.8 percent was paid by the 6 highest-contributing countries, and the balance was paid by the remaining 153 countries. Was Country X among the 6 highest-contributing countries? 1) 56 percent of the total expenditures was paid by the 4 highest-contributing countries, each of which paid more than Country X. 2) Country X paid 4.8 percent of the total expenditures. (1) 56 percent of the total expenditures was paid by the 4 highest-contributing countries, each of which paid more than Country X --> just tells us that country X is 5th contributor or lower. Not sufficient. (2) Country X paid 4.8 percent of the total expenditures --> if all 6 highest contributors paid equal amount then each paid $$\frac{67.8}{6}=11.3%>4.8%$$, and the answer would be NO but if first contributor paid 51%, country X - 4.8% and the other 4 paid $$\frac{67.8-51-4.8}{4}=3%$$, then the answer would be YES. Not sufficient. (1)+(2) From (1) 5th and 6th contributed $$67.8-56=11.8%$$ (average of 4 highest contributing countries is $$\frac{56}{4}=14%$$). Now, if 5th and 6th contributed equal amount then $$5_{th}=6_{th}=\frac{11.8}{2}=5.9>4.8%$$, and the answer would be NO but if 5th contributed $$11.8-4.8=7%$$ and $$6_{th}=X=4.8%$$ then the answer would be YES. Not sufficient. Answer: E. _________________ SVP Joined: 16 Nov 2010 Posts: 1675 Location: United States (IN) Concentration: Strategy, Technology Followers: 32 Kudos [?]: 413 [0], given: 36 Re: United Nations' total expenditure [#permalink] 04 May 2011, 19:35 67.8% by 6 countries (1) is not sufficient, as x could be in the remaning 12.8% or in (100 - 67.8)% part of contribution (2) is also not sufficient, because there is no break-up given for the other highest donors (1) + (2) Not sufficient as again country x's contrubtion relative to other countries is not known _________________ Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant) GMAT Club Premium Membership - big benefits and savings Manager Joined: 04 Sep 2010 Posts: 84 Followers: 1 Kudos [?]: 5 [0], given: 11 Re: GMATprep - DS Expenditures set [#permalink] 12 May 2011, 09:20 GHIBI wrote: In a certain year the United Nations’ total expenditures were$1.6billion. Of this amount, 67.8 percent was paid by the 6 highest-contributing countries, and the balance was paid by the remaining 153 countries. Was Country X among the 6 highest-contributing countries?

1) 56 percent of the total expenditures was paid by the 4 highest-contributing countries, each of which paid more than Country X.

2) Country X paid 4.8 percent of the total expenditures.

1) 56% was paid by first 4 countries, X relative position among 153 + 2 is not available so it could be first , middle or last ... Insufficient
2) Does not provide relative position of X: Insufficient

Combine 1 & 2 ; remaining of 67.8 -56 = 11.8 and 4.8 percent is X ; So it could be 7% 5th and 4.8% 6th or 6% 5th 5.8% 6th and 4.8 % 7th ... inconclusive -- E
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Re: In a certain year the United Nations total expenditures were [#permalink]  20 Sep 2014, 20:35
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Re: In a certain year the United Nations total expenditures were [#permalink]  21 Sep 2014, 21:30
Another example of how simple logic is better.
Condition: 67.8%-6 countries
32.2%- rest
Was X among 6? Yes,No
S.1. 56% - 4 countries and each of them>X
if X among 6, then 5+6=11.8%. No problem to be in 6 or in rest. Not sufficient

S.2. X - 4.8% of total expenditures. The same as in S.1. Not sufficient

S1+S2=Not any news

E
Re: In a certain year the United Nations total expenditures were   [#permalink] 21 Sep 2014, 21:30
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