Explanation:

Let's break down the problem:

- 5% of the registered voters did not cast their vote.

- Effectively, 95% of registered voters cast their vote.

- Out of these, 10% of votes were invalid or labeled as NOTA.

- So, 90% of the votes cast were valid, which translates to 85.5% (95% * 90%) of total registered voters.

- The winning candidate got 60% of valid votes.

- The winning margin was 17,271 votes.

- Calculating, 60% of 85.5% of the total votes minus 40% of 85.5% gives us the margin.

Let's convert this into calculations:

1. Denote total registered voters as X.

2. Valid votes = 0.855X.

3. Votes for the winner = 0.6 * 0.855X.

4. Votes for the loser = 0.4 * 0.855X.

5. Difference is 0.2 * 0.855X = 17,271.

6. Solving, X = (17,271 / (0.2 * 0.855)) = 101,000.

Based on the options,

- Option 1: 90,525 doesn't match as it would result in a smaller margin.

- Option 2: 100,000 doesn’t fit our calculation.

- Option 3: 101,000 matches the calculated total.

- Option 4: 103,400 exceeds the calculated number.

? Option 3: 101,000 is correct.

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