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24 Sep 2013, 23:16
Kudos
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
67% (02:09) correct
33%
(02:34)
wrong
based on 218
sessions
History
Date
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Not Attempted Yet
In an election between two candidates, the winner has a margin of 10% of the votes polled. If 1500 people change their mind and vote for the loser, the loser would have won by a margin of 10% of the votes polled. Find the total number of votes polled in the election?
A. 30,000
B. 15,450
C. 45,000
D. 60,000
E. 15,000
A. 30,000
B. 15,450
C. 45,000
D. 60,000
E. 15,000
24 Sep 2013, 23:32
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b2bt
In an election between two candidates, the winner has a margin of 10% of the votes polled. If 1500 people change their mind and vote for the loser, the loser would have won by a margin of 10% of the votes polled. Find the total number of votes polled in the election?
A. 30,000
B. 15,450
C. 45,000
D. 60,000
E. 15,000
A. 30,000
B. 15,450
C. 45,000
D. 60,000
E. 15,000
Total # of votes cast = 100x, out of these, let the # of votes won by the winner = w, and for the loser(l) = 100x-w. Given that w-(100x-w) = 10% of total votes cast = 10x
Thus, 2w-100x = 10x \(\to\) w = 55x and l = 100x-55x = 45x.
According to the new condition, if the loser had won 45x+1500 votes, then , (45x+1500)-(55x-1500) = 10 % of total votes cast = 10x
Thus, 3000 = 20x and 100x = 15000.
E.
General Discussion
25 Sep 2013, 02:03
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b2bt
In an election between two candidates, the winner has a margin of 10% of the votes polled. If 1500 people change their mind and vote for the loser, the loser would have won by a margin of 10% of the votes polled. Find the total number of votes polled in the election?
A. 30,000
B. 15,450
C. 45,000
D. 60,000
E. 15,000
A. 30,000
B. 15,450
C. 45,000
D. 60,000
E. 15,000
Winner - Looser
55% - 45%
If 1500 people change their mind and vote for the loser:
Winner - Looser
45% - 55%
Thus 1,500 people compose 10% of all voters, which means that the total number of votes is 15,000.
Answer: E.
