1.

10 % Of The Electorate Did Not Cast Their Votes In An Election Between Two Candidates. 10 % Of The Votes Polled Were Found Invalid. The Successful Candidate Got 54 % Of The Valid Votes And Won By A Majority Of 1620 Votes. The Number Of Voters Enrolled On The Voter's List Was?

Answer»

Let the number of VOTES enrolled be X 

Votes CAST = (90/100 × x) = 9x/10 

Valid votes = 90% of 9x/10 = (90/100 × 9x/10) = 81x/100

Votes polled by successful candidate 

= (54/100 × 81x/100) = 4374x/10000 

 Votes polled by defeated candidate 

= (46/100 × 81x/100) = 3726x/10000 

=> 4374x – 3726x = 16200000 

=> x = 16200000/648 = 25000.

Let the number of votes enrolled be x 

Votes cast = (90/100 × x) = 9x/10 

Valid votes = 90% of 9x/10 = (90/100 × 9x/10) = 81x/100

Votes polled by successful candidate 

= (54/100 × 81x/100) = 4374x/10000 

 Votes polled by defeated candidate 

= (46/100 × 81x/100) = 3726x/10000 

=> 4374x – 3726x = 16200000 

=> x = 16200000/648 = 25000.



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