In an election between Sunita and Mamata, 85% of voters cast their votes but 2% of votes were invalid. If Sunita got 64,974 votes which is 78% of valid votes, find the total number of voters enrolled in the election.

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Let the total number of voters enrolled be N.

Step 1: Number of voters who cast votes = 85% of N = 0.85N

Step 2: Number of invalid votes = 2% of votes cast = 2% of 0.85N = 0.02 × 0.85N = 0.017N

Step 3: Number of valid votes = Votes cast - Invalid votes = 0.85N - 0.017N = 0.833N

Step 4: Sunita got 64,974 votes, which is 78% of valid votes:
So, 78% of valid votes = 64,974
=> 0.78 × 0.833N = 64,974
=> 0.64974N = 64,974

Step 5: Solve for N:
N = 64,974 / 0.64974 = 100,000

Therefore, the total number of voters enrolled in the election was 1,00,000.

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