In an election which was contested by two candidates, X and Y, 4000 vo

In an election which was contested by two candidates, X and Y, 4000 votes were polled. Suppose that every vote was polled in favour of either of the two candidates. Candidate Y got 40% of vote polled and was defeated. What was the margin of defeat ?

500 votes
800 votes
1200 votes
1600 votes
This question was previously asked in
UPSC CAPF – 2017
Total votes polled = 4000.
Candidate Y received 40% of the total votes.
Votes for Y = 40% of 4000 = (40/100) * 4000 = 0.40 * 4000 = 1600 votes.
Since only two candidates contested and every vote was polled for one of them, the remaining votes must be for candidate X.
Votes for X = Total votes – Votes for Y = 4000 – 1600 = 2400 votes.
Y was defeated by X, meaning X received more votes than Y.
The margin of defeat for Y (or margin of victory for X) is the difference in the votes received by the two candidates.
Margin of defeat = Votes for X – Votes for Y = 2400 – 1600 = 800 votes.
Calculate the votes for the defeated candidate, then calculate the votes for the winning candidate, and find the difference to determine the margin of defeat.
The question states that Y was defeated, confirming that X received more votes. The margin of defeat is the absolute difference between the votes of the winner and the loser.
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