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?
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.