Two candidates contested in an election. 80% of the voters cast their votes, out of which 5% of the polled votes were invalid. The winning candidate got 70% of valid votes and won by a majority of 36,480 votes. Find the total number of voters.

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Let the total number of voters be N.

Step 1: Calculate the number of votes cast.
80% of N cast votes = 0.8N

Step 2: Calculate the number of valid votes.
5% of polled votes are invalid, so valid votes = 95% of polled votes = 0.95 × 0.8N = 0.76N

Step 3: Calculate votes received by the winning candidate.
Winning candidate got 70% of valid votes = 0.7 × 0.76N = 0.532N

Step 4: Calculate votes received by the losing candidate.
Remaining valid votes = 30% of valid votes = 0.3 × 0.76N = 0.228N

Step 5: Calculate the majority.
Majority = votes of winner - votes of loser = 0.532N - 0.228N = 0.304N

Step 6: Given majority = 36,480
So, 0.304N = 36,480
=> N = 36,480 / 0.304 = 120,000

Therefore, the total number of voters is 1,20,000.

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