Question
Download Solution PDFIn a constituency, the total number of people on the electoral roll was 2,75,000. Out of them, 90% cast their votes in an election and 15% of the votes cast were declared invalid. What was the number of valid votes cast?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Total number of people on the electoral roll = 2,75,000
Percentage of people who cast their votes = 90%
Percentage of invalid votes = 15%
Formula used:
Valid votes = Total votes cast - Invalid votes
Total votes cast = (Total number of people on the electoral roll) × (Percentage of people who cast their votes)
Invalid votes = (Total votes cast) × (Percentage of invalid votes)
Calculations:
Total votes cast = 2,75,000 × 90%
⇒ Total votes cast = 2,75,000 × 0.90
⇒ Total votes cast = 2,47,500
Invalid votes = 2,47,500 × 15%
⇒ Invalid votes = 2,47,500 × 0.15
⇒ Invalid votes = 37,125
Valid votes = Total votes cast - Invalid votes
⇒ Valid votes = 2,47,500 - 37,125
⇒ Valid votes = 2,10,375
∴ The correct answer is option (2).
Last updated on Jun 3, 2025
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