In an election between two candidates 90 % of the registered voters cast their vote and 15 % of the votes polled were found invalid. Winning candidate got 51% of the valid votes and won the election by a margin of 2142 votes. How many voters were registered?
Given:
90% of registered voters voted.
15% of votes polled were invalid.
Winning candidate got 51% of valid votes.
Margin of victory = 2142 votes.
Find total registered voters
Formula Used:
Valid votes = (Total votes polled) × (1 − invalid %)
Solution:
Let total registered voters = N
Votes polled = 0.90N
Valid votes = 0.90N × 0.85 = 0.765N
Margin = (51% − 49%) of valid votes = 2% of valid votes
0.02 × 0.765N = 2142
0.0153N = 2142
N = = 140000
English
100 Questions
100 Marks
90 Mins English English100 Questions100 Marks90 Mins English English100 Questions100 Marks90 Mins EnglishIn an election between two candidates, 15% of the voters in the voters' list did not cast their votes and 10% of the votes polled were declared invalid. The winning candidate got 60% of the total valid votes and won by a majority of 7650 votes. The number of valid votes was :
In an election between A and B, 12% of the total voters did not cast their votes and 10% of the votes polledwere declared invalid. A received 56% of the valid votes and defeated B by 4752 votes. How many validvotes did B receive ?
In an election between two candidates, 80% of the registered voters cast their vote and 21% of the votes polled were found invalid. The winning candidate got 51% of the valid votes and won the election by a margin of 1817 votes. How many voters were registered?
In an election between two candidates 90 % of the registered voters cast their vote and 15 % of the votes polled were found invalid. Winning candidate got 51% of the valid votes and won the election by a margin of 2142 votes. How many voters were registered?
In an election, there were two candidates. One of the candidates secured 48% of the votes and was defeated by the other candidate by 756 votes. Find the total number of votes polled.
In an election between two candidates A and B, 15% of the voters did not cast their votes, 20% of the votes cast were declared invalid. The winning candidate got 8262 votes, which were 54% of the total valid votes.
Statement I: The candidate who was defeated got votes from 31.28% of the total voters in the list.
Statement II: The number of valid votes was 15500.
Which of the above statements is/are correct?
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