Question

In an election, a candidate secured 58% of the votes polled and won the election by 18,336 votes. Find the total number of votes polled and the votes secured by each candidate.

• A. 1,14,560; 66,728 and 48,112
• B. 1,14,800; 66,168 and 48,232
• C. 1,14,200; 66,668 and 48,032
• D. 1,14,600; 66,768 and 48,132

Answer 1

Answer: (D)

1,14,600; 66,768 and 48,132

Since one candidate won $58\%$ of the votes, the other won $100-58=42\%$ of the votes.
Given, $\frac{58}{100}\times \text{Total Votes}-\frac{42}{100}\times \text{Total Votes}=18,336$
$=>\frac{16}{100}\times \text{Total Votes}=18,336$
$=>\text{Total votes}=1,14,600$
So, the candiates won $\frac{58}{100}\times 1,14,600=66,468$ and $=\frac{42}{100}\times 1,14,600=48,132$ votes