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![[Post New]](/templates/default/images/icon_minipost_new.gif) 13 Sep 2008 18:33:55 IST
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in a family pati , patni and woh contested for post of family head. all the people of the city voted and all the votes were valid. the loser(the one having last rank) got 30% of the votes. if it is known that each of them got integral percentage of vote , then what could be the minimal margin of vote by which the winner defeated his/her nearest rival.
and one of the option is - it cannot be determined
thnx
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"Only two things are infinite, the universe and human stupidity, and I'm not sure about the former." --Albert Einstein |
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13 Sep 2008 18:56:25 IST
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IS THE ANS 2%
BEST OF LUCK 
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13 Sep 2008 19:47:07 IST
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the answer should be in number , not percent
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"Only two things are infinite, the universe and human stupidity, and I'm not sure about the former." --Albert Einstein |
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13 Sep 2008 19:47:17 IST
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[b]yup ! 2%.
just look. 70% votes are to be distributed among 2 people, both of which have got a different no of votes ( else diffrence is 0 ). so for minimal difference A gets 36% ( 70/2 + 1 ) B gets 34%.( 70/2 - 1 ), so difference is 2%.
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13 Sep 2008 19:59:53 IST
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in a family pati , patni and woh contested for post of family head. all the people of the city voted and all the votes were valid. the loser(the one having last rank) got 30% of the votes. if it is known that each of them got integral percentage of vote , then what could be the minimal margin of vote by which the winner defeated his/her nearest rival.
Let total votes be x.
The loser got 0.3 x
The least integral value of 0.3 x = 3 where x = 10
So the first and runner up got 4 and 3 votes respectively, and the minimal margin is 1 vote.
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- Gaurav Ragtah (spideyunlimited)
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13 Sep 2008 20:00:36 IST
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ok. i get that. then, diffrence is 1 vote.
for miminum diff, no of ppl = 50 ( so that diff between A , B and C are least, kkeping in mind 3*(no of ppl)/10 is integer )
As loser gets 15 votes (30%), B gets 17 votes (34%), C gets 18 votes ( 36%).
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13 Sep 2008 20:08:09 IST
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@spidey
even i thought that at first.
but if votes r 3 and 4.
the first and second runner get tied up.
A = 4 ( 40 % )
B = 3 ( 30% )
C= 3 ( 30% )
there exists a tie.
so i restorted to 50 ppl. bcoz
1. again diff of 1 vote is not possible with even nos. so 20 , 40 r out.
2.with 30, votes r 9 , 10 , 11. but %s are not integeral.
3. with 10, there is a tie..
so next no is 50.
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13 Sep 2008 20:19:45 IST
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thnx
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13 Sep 2008 20:26:16 IST
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@karansingh, when nothing is mentioned, we can take it that way.
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- Gaurav Ragtah (spideyunlimited)
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