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Question Stats: 73% (01:34) correct 27% (01:30) wrong based on 83 sessions

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A sum of $12000 was distributed among five individuals - A, B, C, D, and E. What was C's share? 1. A received $$\frac{1}{3}$$rd more than what B did and B received $$\frac{1}{4}$$th more than what D did. 2. C received $$\frac{1}{2}$$ more than what E did. Source: Experts Global _________________ You've got what it takes, but it will take everything you've got Retired Moderator D Joined: 25 Feb 2013 Posts: 1162 Location: India GPA: 3.82 A sum of$12000 was distributed among five individuals - A, B, C, D  [#permalink]

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pushpitkc wrote:
A sum of $12000 was distributed among five individuals - A, B, C, D, and E. What was C's share? 1. A received $$\frac{1}{3}$$rd more than what B did and B received $$\frac{1}{4}$$th more than what D did. 2. C received $$\frac{1}{2}$$ more than what E did. Source: Experts Global Statement 1: let D receive $$12x$$ amount, where $$x$$ is any variable. So B received $$= 12x+12x*\frac{1}{4}=15x$$ and A received $$15x+15x*\frac{1}{3}=18x$$. But Nothing mentioned about C's share and $$x$$. Insufficient Statement 2: Let E receive $$2y$$ So C gets $$= 2y+2y*\frac{1}{2}=3y$$. But we do not know the value of $$y$$. Insufficient Combining 1 & 2: we do not have a relationship between $$x$$ & $$y$$. Hence cannot be solved. Insufficient Option E Math Expert V Joined: 02 Aug 2009 Posts: 8199 A sum of$12000 was distributed among five individuals - A, B, C, D  [#permalink]

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pushpitkc wrote:
A sum of $12000 was distributed among five individuals - A, B, C, D, and E. What was C's share? 1. A received $$\frac{1}{3}$$rd more than what B did and B received $$\frac{1}{4}$$th more than what D did. 2. C received $$\frac{1}{2}$$ more than what E did. Source: Experts Global Do not waste too much time in drawing any equation.. Five variables A,B,C,D,E Statement I gives relationship between A, B and D Nothing about C and E Insufficient Statement II gives relationship between C and E.. Nothing about other 3 Insufficient Combined.. We have relationship between A, B and D on one hand and relationship between C and E on other hand.. BUT the two sets are not related to each other.. So Insufficient E _________________ VP  D Joined: 09 Mar 2016 Posts: 1229 A sum of$12000 was distributed among five individuals - A, B, C, D  [#permalink]

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niks18 wrote:
pushpitkc wrote:
A sum of $12000 was distributed among five individuals - A, B, C, D, and E. What was C's share? 1. A received $$\frac{1}{3}$$rd more than what B did and B received $$\frac{1}{4}$$th more than what D did. 2. C received $$\frac{1}{2}$$ more than what E did. Source: Experts Global Statement 1: let D receive $$12x$$ amount, where $$x$$ is any variable. So B received $$= 12x+12x*\frac{1}{4}=15x$$ and A received $$15x+15x*\frac{1}{3}=18x$$. But Nothing mentioned about C's share and $$x$$. Insufficient Statement 2: Let E receive $$2y$$ So C gets $$= 2y+2y*\frac{1}{2}=3y$$. But we do not know the value of $$y$$. Insufficient Combining 1 & 2: we do not have a relationship between $$x$$ & $$y$$. Hence cannot be solved. Insufficient Option E pushpitkc hello, can you please explain nikss solution, Why in statement 1 niks adds up TWO "12s" same question is about second statement. And how from statement one can we get value for D ? We know how much A and B received, how about D, can we get answer for D ? if yes then how ? thanks for taking time to explain Hi niks18 may be you can explain when you get a chance thanks Retired Moderator D Joined: 25 Feb 2013 Posts: 1162 Location: India GPA: 3.82 Re: A sum of$12000 was distributed among five individuals - A, B, C, D  [#permalink]

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dave13 wrote:
niks18 wrote:
pushpitkc wrote:
A sum of $12000 was distributed among five individuals - A, B, C, D, and E. What was C's share? 1. A received $$\frac{1}{3}$$rd more than what B did and B received $$\frac{1}{4}$$th more than what D did. 2. C received $$\frac{1}{2}$$ more than what E did. Source: Experts Global Statement 1: let D receive $$12x$$ amount, where $$x$$ is any variable. So B received $$= 12x+12x*\frac{1}{4}=15x$$ and A received $$15x+15x*\frac{1}{3}=18x$$. But Nothing mentioned about C's share and $$x$$. Insufficient Statement 2: Let E receive $$2y$$ So C gets $$= 2y+2y*\frac{1}{2}=3y$$. But we do not know the value of $$y$$. Insufficient Combining 1 & 2: we do not have a relationship between $$x$$ & $$y$$. Hence cannot be solved. Insufficient Option E pushpitkc hello, can you please explain nikss solution, Why in statement 1 niks adds up TWO "12s" same question is about second statement. And how from statement one can we get value for D ? We know how much A and B received, how about D, can we get answer for D ? if yes then how ? thanks for taking time to explain Hi niks18 may be you can explain when you get a chance thanks Hi dave13 to understand the statements consider a simple example - If I have 10 apples and you have 2 more than apples than how many apples you have and how you arrived at the solution? VP  D Joined: 09 Mar 2016 Posts: 1229 Re: A sum of$12000 was distributed among five individuals - A, B, C, D  [#permalink]

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niks18 oh i got it are you an iphone user ? thank you ! i have one more question in statement 2 you say let E received 2y so having got the result 3y you write we dont know value of Y right ? if so .

then why you dont make the same conclusion in statement 1 in which you get 15x and 18x ? you could say the same right that we dont know value of X
Retired Moderator D
Joined: 25 Feb 2013
Posts: 1162
Location: India
GPA: 3.82

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_________________ Re: A sum of $12000 was distributed among five individuals - A, B, C, D [#permalink] 22 Oct 2019, 04:27 Display posts from previous: Sort by # A sum of$12000 was distributed among five individuals - A, B, C, D  