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In a municipal election three candidates, Santosh, Ravi, and Vipin, contested and the valid voles they got were in the ratio of 11
: 4 : 9. If the winner defeated his nearest rival by 8350 voles, then how many valid voles were polled in that election?
1,02,000
2,10,000
1,90,000
1,00,200
- The candidates Santosh, Ravi, and Vipin received votes in the ratio of 11:4:9.
- The condition given is that the winner defeated his nearest rival by 8350 votes.
- Assume the candidates got 11x, 4x, and 9x votes respectively.
- The winner is Santosh, and the nearest rival is Vipin since 11:9 is the closest ratio.
- The difference between the votes of Santosh and Vipin is 11x - 9x = 2x.
- According to the problem, 2x = 8350.
- Solving for x gives x = 4175.
- Therefore, the total valid votes polled are 11x + 4x + 9x = 24x = 24 * 4175 = 1,00,200.
The correct option is:
- Option: 4 - 1,00,200
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