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# A one-million dollar inheritance was divided among five

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Intern
Joined: 11 Jan 2007
Posts: 45
Location: United States
Concentration: Marketing, Healthcare
GMAT 1: 600 Q49 V25
GMAT 2: 650 Q49 V32
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WE: Pharmaceuticals (Consulting)
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Kudos [?]: 23 [1] , given: 4

A one-million dollar inheritance was divided among five [#permalink]

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21 Jun 2010, 13:06
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3
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85% (hard)

Question Stats:

55% (03:04) correct 45% (01:54) wrong based on 197 sessions

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A one-million dollar inheritance was divided among five beneficiaries. If no beneficiary received more than 30% of the inheritance, what was the greatest amount received by any one of the beneficiaries?

(1) Three of the beneficiaries received 80% of the amount received by a fourth beneficiary.
(2) No beneficiary received less than 10% of the total inheritance.
[Reveal] Spoiler: OA
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Joined: 25 Feb 2010
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Kudos [?]: 73 [1] , given: 10

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21 Jun 2010, 14:23
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Take 5 people , A B C D E

Say, of 100 units, D gets 30 (max any one can receive). Then A + B + C = 24. Hence E should get 100 - (30+24) = 46 which is not possible. (any beneficiary can receive up to a max of 30 units)

E
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Kudos [?]: 5 [0], given: 2

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28 Jun 2010, 01:31
Given, 5 participants, each receiving less than 30% of something.

(i) 3 participants received 80% of 4th's share. 4th cud be 29, 28... hence, 3 participants cud have received variable amount (80%x29 OR 80%x28) based on 4th's share. These 4 participant's shares are variable hence 5ht is also variable. Multiple solutions. NOT SUFFICIENT.

(ii) {1,2,3,4,5}'s share > 10%. Multiple solutions possible. NOT SUFFICIENT.
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Re: A one-million dollar inheritance was divided among five [#permalink]

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09 Aug 2013, 11:56
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This is the Manhattan GMAT explanation:
But if that 4th received $225, then 3 received$180 each and 5th received 1,000-(225+3*180)=2350. The greatest amount received is $235. (2) No beneficiary received less than 10% of the total inheritance. Consider the same examples. Not sufficient. (1)+(2) Consider the same examples. Not sufficient. Answer: E. _________________ GMAT Club Legend Joined: 09 Sep 2013 Posts: 10667 Followers: 496 Kudos [?]: 131 [0], given: 0 Re: A one-million dollar inheritance was divided among five [#permalink] ### Show Tags 08 Dec 2015, 10:01 Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________ Intern Joined: 10 Jan 2016 Posts: 1 Followers: 0 Kudos [?]: 0 [0], given: 0 Re: A one-million dollar inheritance was divided among five [#permalink] ### Show Tags 11 Jan 2016, 00:04 There isn't enough information. However, you can find what the highest possible amount is if you use 10% as the lowest amount received. Beneficiary 4 receives$264,705.88.

$264,705.88 x 80% is$211,764.70 rounded to the nearest cent. Beneficiaries 1, 2, and 3 receive this amount.

$211,764.70(3) =$635,294.11

$635,294.11$264,705.88
+___________
$899,999.99 This leaves$100,000.00 for Beneficiary 5 with an extra penny due to rounding.
*
*
*
This Doesn't work the other way around.
Beneficiary 4 cannot receive 30% because that is %300,000.00
$300,000.00 x 80% =$240,000.00
$240,000(3) =$720,000
$720,000 + 300,000 =$1,200,000.00 leaving beneficiary 5 $20,000.00 in debt rather than getting at least 10 percent. * * * This shows the maximum amount that anyone can receive given the conditions of the problem. Re: A one-million dollar inheritance was divided among five [#permalink] 11 Jan 2016, 00:04 Similar topics Replies Last post Similar Topics: 3 A total of 2,000 t-shirts was divided among a soccer team, two basebal 3 23 Sep 2015, 03:28 6 A group of five friends have$87 dollars between them. Each one only 5 23 Feb 2015, 03:16
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