In an election a candidate who received 30 percent of the total votes cast was defeated by 15000 votes. Find the number of votes obtained by the winning candidate?
Answer: 26250
Explanation
Let the total number of votes be X.
The losing candidate received 30% of the total votes, which means:
30/100X=0.3X
The winning candidate received 15000 votes more than the losing candidate, so:
Winning candidate’s votes=0.3X+15000
Since the total votes are shared between these two candidates (assuming no invalid votes), the winning candidate must have received 70% of the total votes because:
Winning candidate’s votes=100%−30%=70%=0.7X
Thus, we equate:
0.7X=0.3X+15000
Solving for X:
0.7X−0.3X=15000
0.4X=15000
X=15000/ 0.4=37500
Now, the winning candidate received:
0.7×37500=26250
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