Question : What is the number of valid votes cast in favour of a candidate in an election, if the candidate received 75% of the total valid votes, and 5% of the total votes were declared invalid, given that the total number of voters was 1,46,000?
Option 1: 1,06,650
Option 2: 1,10,250
Option 3: 1,04,025
Option 4: 1,08,850
Correct Answer: 1,04,025
Solution : The total number of votes is 1,46,000. Given that 5% of the votes were invalid, the number of invalid votes is 5% of 1,46,000, which is 0.05 × 1,46,000 = 7,300 votes Therefore, the total number of valid votes is 1,46,000 – 7,300 = 1,38,700 votes The candidate received 75% of the total valid votes, which is 75% of 1,38,700, or 0.75 × 1,38,700 = 1,04,025 votes Hence, the correct answer is 1,04,025.
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