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Question Stats:
0% (00:00) correct
 0% (00:00) wrong based on 0 sessions
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Senior Manager
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re-posting question as jpeg
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now my answer 
Total = 100% = 60+50+35 -2x -2y-2z+10
2(x+y+z) = 55
therefore % of people buying 2 products is
x+y+z = 27.5%
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using the exact same diagram - i got ans as 25......
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I am lost on this one...I found 7.5%
60+50+35 -3*10 -2(x+y+z) = 100
145 - 30 -2(x+y+z) = 100
115 - 2(x+y+z) = 100
2(x+y+z) = 15
x+y+z = 7.5
 where is the mistake..I mean in a logic view 
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Askg, thx for reposting. I think there are two issues with you equation
1) you didn't add back x+y+z after subtracting them
2) you didn't subtract 10 three times.
In my mind this shud be the eqn
100= 60+50+35 -2x -2y-2z-30 + x+y+z+10
x+y+z = 25%
However, OA is different. Any one else wanna try ?
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banerjeea_98 wrote: Askg, thx for reposting. I think there are two issues with you equation
1) you didn't add back x+y+z after subtracting them
2) you didn't subtract 10 three times.
In my mind this shud be the eqn
100= 60+50+35 -2x -2y-2z-30 + x+y+z+10
x+y+z = 25%
However, OA is different. Any one else wanna try ?
yeah i goofed up
I'm getting 25% as those who bought only 2 things.
But final answer should be 35%, as those who bought 3 things would automatically buy 2 things.
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Last edited by ashkg on 26 Apr 2005, 08:01, edited 1 time in total.
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Senior Manager
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Antmavel wrote: I am lost on this one...I found 7.5% 60+50+35 -3*10 -2(x+y+z) = 100 145 - 30 -2(x+y+z) = 100 115 - 2(x+y+z) = 100 2(x+y+z) = 15 x+y+z = 7.5 where is the mistake..I mean in a logic view after subtracting all the x y z components totally, you will need to add it once.
The above equations basically come from something like this ( add all the spaces in the circles )
100 = (60-x-y-10) + (50-z-y-10) + (35-x-z-10) + x + y + z + 10
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ashkg wrote: Antmavel wrote: I am lost on this one...I found 7.5% 60+50+35 -3*10 -2(x+y+z) = 100 145 - 30 -2(x+y+z) = 100 115 - 2(x+y+z) = 100 2(x+y+z) = 15 x+y+z = 7.5 where is the mistake..I mean in a logic view after subtracting all the x y z components totally, you will need to add it once. The above equations basically come from something like this ( add all the spaces in the circles ) 100 = (60-x-y-10) + (50-z-y-10) + (35-x-z-10) + x + y + z + 10 can you not just say,
100%=A+B+C-AB-BC-CA+2ABC?
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ashkg wrote: yeah i goofed up I'm getting 25% as those who bought only 2 things. But final answer should be 35%, as those who bought 3 things would automatically buy 2 things. however, the question is ambigous, therefore i think both should be correct. mirhaque wrote: can you not just say, 100%=A+B+C-AB-BC-CA+2ABC?
its the same thing like kale kami or kami kale.
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OA is 15%....just wanted to confirm that it is definitely wrong, there was no choice for 35%...so I chose 25%, which we all agree on...thx guys.
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If the Question is asking for customers who bought exactly 2 things:
60-(x+y+10) + 50-(x+z+10)+35-(y+z+10)+x-10+y-10+z-10 = 100
x+y+z = 15
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prep_gmat wrote: If the Question is asking for customers who bought exactly 2 things:
60-(x+y+10) + 50-(x+z+10)+35-(y+z+10)+x-10+y-10+z-10 = 100
x+y+z = 15
you are subtracting 10% six times. I don't think that is correct. If we refer to askg's venn diagram, the eqn shoould be:
100= (60-x-y-10)+(50-y-z-10)+(35-x-z-10) + x+y+z+10
x+y+z = 25%
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close
