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A sum of $200,000 from a certain estate was divided among a

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Status: I will not stop until i realise my goal which is my dream too
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Schools: Johnson '15
A sum of $200,000 from a certain estate was divided among a [#permalink]

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New post 25 Jun 2011, 23:13
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

80% (01:27) correct 20% (00:39) wrong based on 15 sessions

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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 of the estate and the oldest child received 1/4 of the reminder
2. each of the two younger children received $12500 more than the oldest child and $62500 less than the spouse

OPEN DISCUSSION OF THIS QUESTION IS HERE: a-sum-of-200-000-from-a-certain-estate-was-devided-among-a-101954.html

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Status: I will not stop until i realise my goal which is my dream too
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Re: A sum of $200,000 from a certain estate was divided among a [#permalink]

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New post 25 Jun 2011, 23:20
initially i had selected E

But with more observation i found that correct answer is B( which was given in the prep)

1. S= 1/2 of 2L
C1 = 1/4 of 1L
no mention of C2 and C3.
Hence No

2. C2=C3=C1+12500=S-62500

C1+12500+62500=S
but we know that S+C1+C2+C3=200000
substituting for the above variables
S+C1+C1+12500+C1+12500=200000
S+3C1+25000=200000
S+3C1=175000
substituting for C1 with respect to S
C1+12500+62500+3C1=175000
4C1= 175000-62500-12500
hence it is possible to find out the value of C3( which is asked in the question)

Hence B.
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Note: Give me kudos if my approach is right , else help me understand where i am missing.. I want to bell the GMAT Cat ;)

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Re: A sum of $200,000 from a certain estate was divided among a [#permalink]

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New post 04 Dec 2017, 01:45
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.

OPEN DISCUSSION OF THIS QUESTION IS HERE: a-sum-of-200-000-from-a-certain-estate-was-devided-among-a-101954.html

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Re: A sum of $200,000 from a certain estate was divided among a   [#permalink] 04 Dec 2017, 01:45
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