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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
GPA: 3.5
WE: Pharmaceuticals (Consulting)
Followers: 0

Kudos [?]: 19 [1] , given: 4

A one-million dollar inheritance was divided among five [#permalink]  21 Jun 2010, 12:06
1
KUDOS
00:00

Difficulty:

65% (hard)

Question Stats:

59% (03:09) correct 41% (01:58) wrong based on 130 sessions
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
Senior Manager
Joined: 25 Feb 2010
Posts: 481
Followers: 4

Kudos [?]: 61 [1] , given: 10

Re: Inheritance [#permalink]  21 Jun 2010, 13:23
1
KUDOS
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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Intern
Joined: 14 Jun 2010
Posts: 16
Location: Singapore
Concentration: Strategy
Schools: Fuqua '14 (S)
WE: Information Technology (Consulting)
Followers: 0

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

Re: Inheritance [#permalink]  28 Jun 2010, 00:31
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.
Intern
Joined: 04 Aug 2013
Posts: 6
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Kudos [?]: 4 [0], given: 7

Re: A one-million dollar inheritance was divided among five [#permalink]  09 Aug 2013, 10:56
This is the Manhattan GMAT explanation:
The question stem tells us that there were 5 beneficiaries and that no beneficiary received more than $300,000. We are asked to determine the greatest amount received by any of the beneficiaries. (1) INSUFFICIENT: There are many possible scenarios. For example, it's possible that one beneficiary received$250,000, three beneficiaries received 80% of that amount or $200,000 each, and the fifth beneficiary received the balance of$150,000. In this scenario the greatest amount awarded is $250,000. Alternatively, it is possible that one beneficiary received$225,000, three beneficiaries received 80% of that amount or $180,000, and the fifth beneficiary received the balance of$235,000. In this scenario the greatest amount awarded is $235,000. (2) INSUFFICIENT: This provides a range for the dollar amount received by each beneficiary from$100,000 to $300,000 (10% to 30%) but does not provide any way to determine the greatest amount received by any of the beneficiaries. (1) AND (2) INSUFFICIENT: Both statements together still allow for multiple scenarios. The two scenarios outlined in the discussion of statement (1) still hold even when adding the information in statement (2). Since there is still more than one possible value for the greatest amount received by any beneficiary, both statements together are not sufficient. The correct answer is E. Senior Manager Joined: 10 Jul 2013 Posts: 336 Followers: 3 Kudos [?]: 216 [0], given: 102 Re: A one-million dollar inheritance was divided among five [#permalink] 10 Aug 2013, 00:56 shaneforu wrote: 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. ............... st1, say fourth beneficiary received = x but its not possible now to evaluate the value of x from st1. st2 is nothing that can fix the problem. so E _________________ Asif vai..... SVP Joined: 06 Sep 2013 Posts: 2036 Concentration: Finance GMAT 1: 770 Q0 V Followers: 35 Kudos [?]: 394 [0], given: 355 Re: A one-million dollar inheritance was divided among five [#permalink] 16 Oct 2013, 17:16 shaneforu wrote: 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. Any nice and straightforward approach for solving this one Bunuel? Or anyone if you dare! Much appreciated Cheers J Math Expert Joined: 02 Sep 2009 Posts: 30437 Followers: 5104 Kudos [?]: 57652 [1] , given: 8819 Re: A one-million dollar inheritance was divided among five [#permalink] 17 Oct 2013, 02:21 1 This post received KUDOS Expert's post 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? Say the inheritance was$1,000. We are told that no one received more than $300. (1) Three of the beneficiaries received 80% of the amount received by a fourth beneficiary. This implies that 3 of he beneficiaries received an equal amount, which was 80% of the amount received by a 4th. Now, if that 4th received$250, then 3 received $200 each and 5th received 1,000-(250+3*200)=150. The greatest amount received is$250.
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. _________________ Re: A one-million dollar inheritance was divided among five [#permalink] 17 Oct 2013, 02:21 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, 02:28 6 A group of five friends have$87 dollars between them. Each one only 5 23 Feb 2015, 02:16
2 An estate of $216,000 is divided equally among p people who must each 5 09 Feb 2015, 05:31 2 If 72 cupcakes must be divided equally among the students in 6 19 Nov 2011, 11:31 A sum of$200,000 from a certain estate was divided among a 1 25 Jun 2011, 22:13
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