An ele GyQ ofction is conducted between two candidates in a city. 50000 enrolled voters did not cast their votes and only 80% of cast voters were valid. If the winning candidate won by 1 0080 votes, the losing candidate got 1 8% of the total valid votes and 26% of the enrolled voters vote nota, then find the total number of enrolled voters?
Answers
Given : 50000 enrolled voters did not cast their votes and only 80% of cast voters were valid .winning candidate won by 1 0080 votes,
To find : the total number of enrolled voters
Solution:
Let say Enrolled Voters = 10000V
Votes Casted = 10000V - 50000
= 10000(V - 5)
Valid Votes = (80/100) 10000(V - 5) = 8000(V - 5)
losing candidate got 18% of the total valid votes = (18/100)8000(V - 5)
= 1440(V - 5)
26% of the enrolled voters vote nota
Nota Votes = (26/100) 10000V = 2600V
Winning Candidate Votes = Valid Votes - losing candidate - NOTA
= 8000(V - 5) - 1440(V - 5) - 2600V
= 6560(V - 5) - 2600V
winning candidate won by 1 0080 votes
=> winning candidate votes - loosing candidate votes = 10080
6560(V - 5) - 2600V - 1440(V - 5) = 10080
=> 5120(V - 5) - 2600V = 10080
=> 512(V - 5) - 260V = 1008
=>252V = 1008 + 2560
=> 252V = 3568
=> V = 14.15873
=> 10000V = 1415873
total number of enrolled voters 1415873
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