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?
This questions was previously asked in
ssc cgl 2023 pre
2,16,000
Incorrect Answer2,25,000
Incorrect Answer1,80,000
Incorrect AnswerExplanation:
- Let the total number of people on the electoral roll be \( X \).
- 90% of \( X \) voted, so total votes cast \( = 0.9X \).
- 15% of votes cast were invalid, so valid votes \( = 0.9X \times 0.85 = 0.765X \).
- Jeeta secured \( 60% \) of the valid votes. Thus, \( 0.6 \times 0.765X = 91,800 \).
- Therefore, \( 0.459X = 91,800 \), which implies \( X = \frac{91,800}{0.459} = 200,000 \).
The correct answer is Option 4: 2,00,000.
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By: Parvesh Mehta