Question
In an election, 10% of the total votes cast are declared
invalid. Out of the valid votes, the winning candidate gets 60% votes and wins by a margin of 1080 votes. If in the next election the total votes cast increase by 20%, while the invalid vote percentage and vote share remain the same, what will be the new winning margin?Solution
Let total votes = x Invalid votes = 10% of x Valid votes = 90% of x = 0.9x Winning candidate gets 60% of valid votes, losing candidate gets 40% of valid votes Winning margin = 20% of valid votes = 20% of 0.9x = 0.18x Given, 0.18x = 1080 x = 6000 In next election, total votes increase by 20%: New total votes = 6000 + 20% of 6000 = 7200 Valid votes = 90% of 7200 = 6480 New winning margin = 20% of 6480 = 1296 Hence, the correct answer is 1296.
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