In an election only two candidates participate and candidate ‘P’ got 50% less votes than ‘Q’. If Q got 200 votes less, then there would have been a tie. Find the total number of total votes polled?
Question
In an election only two candidates participate and candidate ‘P’ got 50% less votes than ‘Q’. If Q got 200 votes less, then there would have been a tie. Find the total number of total votes polled?
Solution
Let's assume that candidate Q received x votes in the election.
According to the given information, candidate P received 50% less votes than Q. This means that candidate P received (x - 50% of x) votes, which can be simplified to (x - 0.5x) votes, or 0.5x votes.
If Q had received 200 votes less, there would have been a tie between the two candidates. This means that candidate P would have received the same number of votes as candidate Q, which is x - 200 votes.
Setting up an equation, we can equate the number of votes received by candidate P in the original scenario (0.5x votes) to the number of votes received by candidate P in the hypothetical scenario (x - 200 votes):
0.5x = x - 200
Simplifying the equation, we get:
0.5x + 200 = x
Subtracting 0.5x from both sides, we get:
200 = 0.5x
Dividing both sides by 0.5, we get:
400 = x
Therefore, candidate Q received 400 votes in the election.
To find the total number of votes polled, we need to add the votes received by candidate P and candidate Q:
Total votes polled = votes received by P + votes received by Q = 0.5x + x = 1.5x = 1.5 * 400 = 600
Therefore, the total number of votes polled in the election is 600.
Similar Questions
In an election between two candidates, the winning candidate got 70% of the valid votes and won by a majority of 9000 votes. If out of total votes polled 90% votes are valid, then what is the total number of votes polled?22000250001800020000Add Attachments
Two candidates contested an election. The winning candidate scored 54% and won by 88 votes. If 58 votes were declared invalid, find the total number of votes polled in the election?
In an election which contested was contested by 2 candidates, one candidate got 40% of total votes and yet lost by 1000 votes.What is the total number of votes casted in the election?
In an election between two candidates, 10% of the people did not vote. Winning candidate won the election by 1080 votes and it was found that he had been supported by 60% of the total number of voters . Which of the following can be the number of votes receded for each candidate? 3640, 24603340, 22603240, 216032 60, 2140
Three candidates, Yesuto, Tunde and Rono contested for the seat of governor in a certain country. Yesuto got 33180 votes which was 7559 more votes than Rono's votes who had 1950 votes less than Tunde. How many votes did the three candidates get in total?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.