In an election between 2 candidates, the winning candidate gets 2940 valid votes, while the losing candidate gets 40% of the valid votes. If 2% of the votes polled were declared invalid, then what is the total number of votes polled?

Let's assume the total number of votes polled is '100y'.

If 2% of the votes polled were declared invalid.

number of valid votes = 100y of (100-2)%

= 100y of 98%

= $$100y\times\frac{98}{100}$$

= 98y

In an election between 2 candidates, the winning candidate gets 2940 valid votes, while the losing candidate gets 40% of the valid votes.

valid votes got by winning candidate = 98y of (100-40)% = 2940

98y of 60% = 2940

$$\frac{5880y}{100}=2940$$
$$\frac{2y}{100}=1$$
y = 50

Total number of votes polled = 100y

= $$100\times50$$

= 5000