Final answer:
To find the total number of votes polled in the election, we can set up an equation using the information given. Solving the equation, we find that the total number of votes polled is 400000.
Step-by-step explanation:
To find the total number of votes polled in the election, we first need to find the total number of valid votes.
Since 20% of the votes were declared invalid, the remaining 80% are valid votes.
Now, if Arun secured 56% of the votes and won by 48000 votes, it means that Bimal secured 44% of the votes.
Let's assume the total number of valid votes is 'x'.
Arun secured 56% of the votes, so his votes can be calculated as 0.56*x.
Bimal secured 44% of the votes, so his votes can be calculated as 0.44*x.
According to the given information, Arun won by 48000 votes,
so we can set up the equation 0.56*x - 0.44*x = 48000.
Simplifying the equation, we get 0.12*x = 48000.
Dividing both sides by 0.12, we find x = 400000.
Therefore, the total number of votes polled in the election is 400000.