Question

In an election between two candidates, one of candidate secure 56% votes polled and won an election by 12360 votes. Find the number of votes which is secured by second candidate.
1. 45320
2. 43250
3. 42350
4. 40235

Answer 1

Correct Answer - Option 1 : 45320

Given

An election between two candidates

one of candidate secure 56% votes polled and won an election by 12360 votes

Calculation

Let total number of votes = 100%

Winning candidates secured 56% 

⇒ Losing candidate secured  (100 - 56)% = 44% of the votes polled 

Now, 

⇒ Difference of their votes = 56% - 44%

⇒ Difference of their votes = 12% of the votes polled

Now, 

⇒ 12% of votes polled = 12360

⇒ (12/100) × votes polled = 12360

⇒ Total number of votes = (12360 × 100)/12

⇒ Total number of votes = 103000

Now, 

⇒ Vote secure by second candidate = 44% of 103000

⇒ Vote secure by second candidate = (44/100) × 103000

⇒ Vote secure by second candidate = 45320

∴ Vote secure by second candidate = 45320

Alternative Method

Let total number of votes = 100

⇒ The number of votes by which the winning candidates has won the election = 56 - 44 

⇒ Election won by 12360 votes.

⇒ The total number of votes polled = (100/12) × 12360

⇒  The total number of votes polled = 103000

Now, 

⇒ Vote secure by second candidate = 44% of 103000

⇒ Vote secure by second candidate = (44/100) × 103000

⇒ Vote secure by second candidate = 45320

∴ Vote secure by second candidate = 45320