Question

In a village 60% votes were cast in an election. A and b were the contestants. A won by 600 votes. If b had got 40% more votes, there would have been a tie between them. Find the number of recognized voters in the village

Answer 1

Answer:

6000 voters.

Step-by-step explanation:

Let the votes received by B be x.

The votes received by A = x + 600

Now if B got 40% more votes then they would have tied with A.

We translate this as follows :

If B got 40% more : B = x + 0.4x

Now :

x + 0.4x = x + 600

x + 0.4x - x = 600

0.4x = 600

x = 600/0.4

x = 1500 votes

Votes of A = 1500 + 600 = 2100

Total votes cast = 2100 + 1500 = 3600

Now this represents 60% of the total voters.

60% = 3600

Total number of voters is given by :

100/60 × 3600 = 6000

The total recognized voters were 6000 voters.