Elections were held in a society to elect a chairman. There were only two candidates A and B. Candidate B got 25% less votes than candidate A. The number of members who did not cast the vote was same as the number of votes that candidate B got. By how many votes did A win if the society had 20,000 members.
Question
Elections were held in a society to elect a chairman. There were only two candidates A and B. Candidate B got 25% less votes than candidate A. The number of members who did not cast the vote was same as the number of votes that candidate B got. By how many votes did A win if the society had 20,000 members.
Solution
Let's break down the problem step by step:
-
Let's assume the number of votes candidate A got is 'x'. According to the problem, candidate B got 25% less votes than A. So, the number of votes candidate B got is '0.75x'.
-
The problem also states that the number of members who did not cast their vote is the same as the number of votes that candidate B got. So, the number of members who did not vote is also '0.75x'.
-
The total number of members in the society is 20,000. This is the sum of the votes candidate A got, the votes candidate B got, and the members who did not vote. So, we can write the equation as: x + 0.75x + 0.75x = 20,000.
-
Simplifying the equation gives: 2.5x = 20,000.
-
Solving for 'x', we get: x = 20,000 / 2.5 = 8,000. So, candidate A got 8,000 votes.
-
Candidate B, therefore, got 0.75 * 8,000 = 6,000 votes.
-
The difference in votes between candidate A and B is: 8,000 - 6,000 = 2,000 votes.
So, candidate A won the election by 2,000 votes.
Similar Questions
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?
n an election, only two candidates A and B contested, 25% of voters did not vote and 2000 votes were declared as invalid. The winner, A got 7600 votes more than his opponent thus he secured 52% of total valid votes. The total number of valid votes are
n an election Alan received 105 more votes than Carol. The total number of votes cast was 735. How many votes did each candidate receive?
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
In an election contested between two candidates, winner beat the loser by 5040 votes. If out of total votes cast, 16% were declared invalid and winner received 75% of the total valid votes, then find the number of invalid votes cast. Options 1920 1520 1740 1280
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.