In an election 10% of the voters on the voters’ list did not cas...
Let total number of voters= x
People who voted for the winner are = 0.47x
People who voted for the loser are = 0.47x-308
People who cast blanks are = 60
and people who did not vote are = 0.1x
solve the following equation
0.47x + 0.47x - 308 + 60 + 0.1x = x => x = 6200
View all questions of this testIn an election 10% of the voters on the voters’ list did not cas...
Calculating the Number of Voters on the List:
To calculate the number of voters on the list, we need to follow these steps:
Step 1: Calculate the total number of votes cast:
- 10% of voters did not cast votes, so 90% of voters cast their votes.
- 60 voters cast their ballot papers blank.
- Let x be the total number of voters on the list.
- Therefore, the total number of votes cast = 0.9x - 60.
Step 2: Calculate the number of votes received by the winner:
- The winner was supported by 47% of all voters on the list.
- Therefore, the number of votes received by the winner = 0.47x.
Step 3: Calculate the number of votes received by the loser:
- The loser received (100% - 47%) of the votes.
- Therefore, the number of votes received by the loser = 0.53x.
Step 4: Calculate the difference in votes between the winner and the loser:
- The winner got 308 votes more than his rival.
- Therefore, 0.47x - 0.53x = 308.
- Solving this equation, we get x = 6200.
Therefore, the number of voters on the list was 6200. Hence, the correct answer is option 'B'.