GIVEN : Invalid vote = 200
Winner gets 45% of voting list and win by 1200 votes
20% of the voters did not vote did not vote.
ASSUMPTION : Let the total number of votes be 1000x
CALCULATION : 20% of the voters did not vote
⇒ Total number of votes polled = 1000x – (
) × 1000x = 800x
⇒ Total number of valid votes = 800x – 200
Winner gets 45% of total votes and won by 1200 votes
⇒ Number of votes winner got = (
) × 1000x = 450x
⇒ Number of votes looser got = 800x – 450x – 200 = 350x – 200
Now,
450x – 350x + 200 = 1200
⇒ 100x = 1000
⇒ x = 10
⇒ 1000x = 10000
∴ Total number of votes in the list = 10000