In an election between two candidates, a candidate who gets 78% of the votes is elected by a majority of 448 votes. What is the total number of votes polled?

The correct option is 800.

Step-by-step explanation:

1. Let the total number of votes polled be represented as $x$.

2. It is given that the winning candidate received 78% of the total votes.

3. Therefore, the percentage of votes received by the losing candidate is:

$100\%-78\%=22\%$

4. The majority of votes by which the winning candidate won is the difference between the percentage of votes obtained by the winner and the loser:

$78\%-22\%=56\%$

5. According to the question, this 56% majority corresponds to 448 votes. Therefore, we can set up the equation:

$56\%\text{of}x=448$

6. Solving for $x$:

$\frac{56}{100}\times x=448$

$x=\frac{448\times 100}{56}$

$x=8\times 100$

$x=800$

Thus, the total number of votes polled is 800.