In an election 6% of total votes cast are invalid. A cabditgets 55% of total valid votes and wins the election by 1880 votes. find the total number of votes cast.
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Let total number of voters were X.
Invalid Votes = 6%.
Valid Votes = 94%.
Total Valid Votes = 94% of X = 94X/100 = 0.94X
Winner gets 55% of Valid Votes,
= (0.94 * 55)/100 = 0.517X votes.
Loser gets = (0.94X - 0.517X) = 0.423X.
Difference = 0. 517 - 0.423 = 0. 094X.
0.094X = 1880
X = 20000.
Hence, Total Voters = 20000.
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