To solve this problem, we need to use the given information to determine the total number of voters in the election. Let's break down the problem step by step:

Step 1: Calculate the percentage of voters who did not cast their votes
Given that 14% of the voters did not cast their votes, this means that 86% of the voters actually voted. We can represent this as a decimal by dividing 86 by 100: 86/100 = 0.86.

Step 2: Determine the margin of victory
The candidate who won the election obtained 46% of the total votes. This means that the other candidate must have received 54% of the votes. The winning candidate defeated his contestant by 810 votes.

Let's represent the total number of votes as 'x'. The winning candidate received 46% of the votes, which is 0.46x. The other candidate received 54% of the votes, which is 0.54x. The winning candidate defeated his contestant by 810 votes, so we can set up the following equation:

0.46x - 0.54x = 810

Simplifying this equation, we get:

-0.08x = 810

Dividing both sides of the equation by -0.08, we find:

x = 810 / -0.08
x = -10125

Since it doesn't make sense to have a negative number of voters, we made a mistake somewhere in our calculations. Let's go back and check our work.

Step 3: Recalculate the margin of victory
We made an error in our calculations. Instead of subtracting 0.54x from 0.46x, we should have subtracted 0.46x from 0.54x to find the margin of victory.

0.54x - 0.46x = 810

Simplifying this equation, we get:

0.08x = 810

Dividing both sides of the equation by 0.08, we find:

x = 810 / 0.08
x = 10125

So, the total number of voters in the election is 10,125.

Step 4: Calculate the actual number of voters
We know that 86% of the voters actually voted. To find the actual number of voters, we multiply the total number of voters by 0.86:

10,125 * 0.86 = 8,722.5

Since we can't have a fraction of a voter, we round up to the nearest whole number:

8,723

Therefore, the total number of voters in the election is 8,723.

Step 5: Check the answer options and find the correct one
The correct answer option is B) 13,500. None of the answer options match the calculated total number of voters, so none of them are correct.

It seems there might be an error in the given problem or answer options, as the calculated total number of voters does not match any of the provided options.