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Three brothers shared all the proceeds from the sale of their inherite

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Three brothers shared all the proceeds from the sale of their inherite [#permalink]

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New post 24 Feb 2016, 04:26
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Three brothers shared all the proceeds from the sale of their inherited property. If the eldest brother received exactly 5/8 of the total proceeds, how much money did the youngest brother (who received the smallest share) receive from the sale?

(1) The youngest brother received exactly 1/5 the amount received by the middle brother.
(2) The middle brother received exactly half of the two million dollars received by the eldest brother.
[Reveal] Spoiler: OA

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Re: Three brothers shared all the proceeds from the sale of their inherite [#permalink]

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New post 24 Feb 2016, 07:24
Eldest = 5/8(Total)
Youngest = ?

St1: Youngest = 1/5(Middle) - Clearly insufficient as no information is given about the total money or the money shared

St2: Eldest = 2M and Middle = 1/2(Eldest) = 1M
2M = 5/8(Total) --> Total = 3.2M
Youngest = 3.2 - 2 - 1 = 0.2M
St2 is sufficient

Answer: B
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Re: Three brothers shared all the proceeds from the sale of their inherite [#permalink]

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Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.

Three brothers shared all the proceeds from the sale of their inherited property. If the eldest brother received exactly 5/8 of the total proceeds, how much money did the youngest brother (who received the smallest share) receive from the sale?

(1) The youngest brother received exactly 1/5 the amount received by the middle brother.
(2) The middle brother received exactly half of the two million dollars received by the eldest brother.


In the original condition and the question, there are 3 variables(y,m,e) and 1 equation(e=(5/8)(y+m+e)), which should match with the number of equations. So you need 2 equations. For 1) 1 equation, for 2) 1 equation, which is likely to make C the answer.
For 2), there are 2 equations from e=2 millom=(5/8)(y+m+e) and m= 1 million, which is sufficient.
Therefore, B is the answer.


 For cases where we need 2 more equations, such as original conditions with “2 variables”, or “3 variables and 1 equation”, or “4 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 70% chance that C is the answer, while E has 25% chance. These two are the majority. In case of common mistake type 3,4, the answer may be from A, B or D but there is only 5% chance. Since C is most likely to be the answer using 1) and 2) separately according to DS definition (It saves us time). Obviously there may be cases where the answer is A, B, D or E.
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Re: Three brothers shared all the proceeds from the sale of their inherite [#permalink]

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New post 24 Feb 2016, 22:43
Que states 5/8th part to the eldest, so remaining 3/8th be divided between 2 brothers. youngest get smallest part. so can safely assume parts as 2/8th and 1/8th of the total.

Now to statements.
1st: y=1/5*m. our assumption proved wrong, but still Y n M both unknown, so clearly insuuficient.

2nd: E=2m. M=1m. so we know, 1m+y=3/8T and 2m=5/8T , SUFFICIENT.

Ans B
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Re: Three brothers shared all the proceeds from the sale of their inherite [#permalink]

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New post 26 Apr 2016, 18:13
Bunuel wrote:
Three brothers shared all the proceeds from the sale of their inherited property. If the eldest brother received exactly 5/8 of the total proceeds, how much money did the youngest brother (who received the smallest share) receive from the sale?

(1) The youngest brother received exactly 1/5 the amount received by the middle brother.
(2) The middle brother received exactly half of the two million dollars received by the eldest brother.



1 alone not sufficient.
2: eldest brother = 2 mln; middle one = 1 mln.
we know that 5x/8 = 2mln => 5x=16mln => x=3.2 mln
we know that first received 2 mln, second 1 mln, and third 200k

sufficient.
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Re: Three brothers shared all the proceeds from the sale of their inherite [#permalink]

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New post 26 Apr 2016, 22:51
st 1: no amount given. Insuff

St 2: eldest recieved 2 million. middle recieved half of first i.e. (2.5)/8 so the third one received (.5)/8 which is first One amount/10
sufficient

So B
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Re: Three brothers shared all the proceeds from the sale of their inherite [#permalink]

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New post 22 Nov 2017, 07:41
Eldest received 5/8 of the total property
=> Other two got 3/8 of the remaining property.

=>a+b=3/8

Statement 1= a=1/5b
=>1/5b+b=3/8.
Thus we can calculate the values.
Please tell me my mistake.
Re: Three brothers shared all the proceeds from the sale of their inherite   [#permalink] 22 Nov 2017, 07:41
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Three brothers shared all the proceeds from the sale of their inherite

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