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In a constituency, 90% of the total number of people on the electoral roll cast their votes during an election. 15% of the votes cast were declared invalid. Jeeta secured 60% of the valid votes. If Jeeta secured 91,800 valid votes, what was the total number of people on the electoral roll?
2,16,000
2,25,ooo
1,80,000
2,00,000
- Total votes cast are 90% of the electoral roll.
- Invalid votes are 15% of the votes cast.
- Valid votes are 85% of votes cast (since 100% - 15% = 85%).
- Jeeta secured 60% of the valid votes, which equals 91,800.
Now, let's calculate the total electoral roll:
- Let the total number of people on the electoral roll be X.
- Votes cast = 90% of X = 0.9X
- Valid votes = 85% of votes cast = 0.85 * 0.9X = 0.765X
- Jeeta's votes = 60% of valid votes = 0.6 * 0.765X = 91,800
Now solve for X:
- 0.6 * 0.765X = 91,800
- 0.459X = 91,800
- X = 91,800 / 0.459
- X = 2,00,000
Therefore, the total number of people on the electoral roll is 2,00,000.
- Option: 1, 2,16,000
- Option: 2, 2,25,ooo
- Option: 3, 1,80,000
- Option: 4, 2,00,000
By: Parvesh Mehta ProfileResourcesReport error
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