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There were two candidates in an election. 10% of the total voters did not cast their votes whereas 5% of the casting votes were declared invalid. If the winning candidate received 50% votes of the total voters and won by 7250 votes, then find out the total number of Voters?

There were two candidates in an election. 10% of the total voters did not cast their votes whereas 5% of the casting votes were declared invalid. If the winning candidate received 50% votes of the total voters and won by 7250 votes, then find out the total number of Voters? Correct Answer 50,000

Let the total voters be 100

No. of voters did not cast their votes = 10

Total Casting vote = 100 - 10 = 90

Invalid votes = 5%

No. of valid votes = 90 × 95/100 = 85.5

Winning candidate got 50% of total votes = 50

Looser candidate got = 85.5 – 50 = 35.5

Difference between winning and looser candidate votes = 7,250

Now, (50 - 35.5) = 7250

14.5 units = 7250

1 unit = 500

100 units = 500 × 100 = 50000

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