Question
Download Solution PDFThere were two candidates in an election. 75% of voters cast their votes out of which 2% of the votes were found invalid. A candidate got 9261 votes which were 75% of total valid votes. Find the total number of voters enrolled.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Total votes cast = 75% of total voters
Invalid votes = 2% of total votes cast
Votes received by a candidate = 9261
Votes received by the candidate = 75% of valid votes
Formula used:
Let total number of voters = x
Total votes cast = 0.75x
Invalid votes = 0.02 × 0.75x
Valid votes = Total votes cast - Invalid votes
Votes received by the candidate = 0.75 × Valid votes
Calculations:
0.75 × Valid votes = 9261
⇒ Valid votes = \(\dfrac{9261}{0.75}\)
⇒ Valid votes = 12348
Total votes cast = 0.75x
Invalid votes = 0.02 × 0.75x = 0.015x
Valid votes = 0.75x - 0.015x = 0.735x
0.735x = 12348
⇒ x = \(\dfrac{12348}{0.735}\)
⇒ x = 16800
∴ The correct answer is option (4).
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