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re-posting question as jpeg

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ash
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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

VP

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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, 07:01, edited 1 time in total.

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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%