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30 Sep 2010, 01:45
4
7
00:00

Difficulty:

35% (medium)

Question Stats:

65% (01:08) correct 35% (00:56) wrong based on 334 sessions

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A sum of $200,000 from a certain estate was divided among a spouse and three children. How much did the youngest child receive? (1) The spouse received 1/2 of the sum from the estate, and the oldest child received 1/4 of the reminder (2) Each of the two younger children received 12,500 more than the oldest child and 62500 less than the spouse Math Expert Joined: 02 Sep 2009 Posts: 46162 A sum of$200,000 from a certain estate was devided among a [#permalink]

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30 Sep 2010, 02:00
7
4
A sum of $200,000 from a certain estate was divided among a spouse and three children. How much of the estate did the youngest child receive? (1) The spouse received 1/2 of the sum from the estate. and the oldest child received 1/4 of the remainder --> insufficient, as no info about the other two children. (2) Each of the two younger children received$12,500 more than the oldest child and $62.500 less than the spouse. Let the sum received by each of the two younger children x, so total sum received by them is 2x; Also the oldest child received $$x-12,500$$and the spouse received $$x+62,500$$; So $$2x+(x-12,500)+(x+62,500)=200,000$$ --> $$x=37,500$$. Sufficient. Answer: B. _________________ Senior Manager Joined: 29 Jan 2011 Posts: 317 A sum of$200,000 from a certain estate was divided among [#permalink]

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09 Jul 2011, 19:36
plz explain detail steps...

A sum of $200,000 from a certain estate was divided among a spouse and three children. How much of the estate did the youngest child receive? (1) The spouse received 1/2 of the sum from the estate, and the oldest child received 1/4 of the remainder. (2) Each of the two younger children received$12,500 more than the oldest child and $62,500 less than the spouse. Intern Joined: 06 Jun 2011 Posts: 22 Re: sum of$200,000 [#permalink]

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09 Jul 2011, 20:43
6
siddhans wrote:
plz explain detail steps...

A sum of $200,000 from a certain estate was divided among a spouse and three children. How much of the estate did the youngest child receive? (1) The spouse received 1/2 of the sum from the estate, and the oldest child received 1/4 of the remainder. (2) Each of the two younger children received$12,500 more than the oldest child and $62,500 less than the spouse. Let us take the four people involved as Sp, S1, S2, S3 Sp+S1+S2+S3=200,000 S3=? First statement Sp = 1/2 * 200,000 = 100,000 S1= 100,000 *1/4= 25,000 S1+S2=75,000 But it does not answer the question? How much did the youngest son receive Second statement S2=S3 S3=S1+12,500 S3=SP-62,500 Sp+S1+S2+S3=200,000 converting everthing into S3 S3+62,500+S3-12,500+S3+S3=200,000 4S3=160,000 S3=40000 Hence answer is B I am new to gmatclub and Kudos help me quite a bit. if you like my explanation please give one. Thanks Manager Joined: 10 Nov 2010 Posts: 223 Location: India Concentration: Strategy, Operations GMAT 1: 520 Q42 V19 GMAT 2: 540 Q44 V21 WE: Information Technology (Computer Software) Re: sum of$200,000 [#permalink]

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18 Oct 2011, 07:53
where it is mentioned that s2=s3?
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18 Oct 2011, 20:13
1
There has been slight mistake in calculation, though it doesnt affect the final answer:

Second statement
S2=S3
S3=S1+12,500
S3=SP-62,500
Sp+S1+S2+S3=200,000

converting everything into S3
S3+62,500+S3-12,500+S3+S3=200,000
4S3=150,000
S3=37,500
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28 Sep 2015, 20:14
Its a C trap Question
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16 Jan 2018, 17:48
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