In an election between two candidates, the candidates who gets 30% of the votes polled is defeated by 15000 votes. What is the number of votes polled by the winning canndidate?

Answer:

Let us assume that the total no. of votes polled in the constituency = X.

Since the total votes equal to 100% which is equal to X,

Then the winning candidate got = 100 - 30 = 70% of votes.

So the equation we gat as per simple linear equation:

70% of X - 30% of X = 15000

70/100 of X - 30/100 of X = 15000

70X/100 - 30X/100 = 15000

40X/100 = 15000

40X = 15000 x 100 = 1500000

X = 1500000/40 = 37500 Votes.

So the total no. of votes polled in the constituency = 37500 votes.

Since the losing candidate lost by 15000 votes, then the winning candidate got 70% of 37500 = 26250 Votes.

Ans: 26250 Votes.