Question
Download Solution PDFIn 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?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Total votes cast = 90% × the total number of people on the electoral roll
Invalid votes = 15% × the votes cast at the election centre
Jeeta got 60% × valid votes
Jeeta got 91,800 valid votes
Calculation:
Let, the total number of people on the electoral roll = 100x
Total votes cast = 100x × 90% = 90x
Valid votes = 90x × 85%
According to the question:
⇒ 90x × 85% × 60% = 91800
⇒ 90x = (91800 × 100 × 10)/(85 × 6)
⇒ x = (180 × 100 × 10)/90
⇒ x = 2000
The total number of people on the electoral roll = 100x
⇒ 100 × 2000 = 200000 people
∴ The correct answer is 200000.
Last updated on Jul 8, 2025
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