Question

in an election between two candidates, one, candidate secured 47% of votes polled and the lost the election by 12,336 votes. find the total votes polled and the votes secured by the winning candidate.​

Answer 1

Given :-

• Loser candidate got votes = 47%
• Loser candidate loss by = 12336 votes

To Find :-

• The winner candidate got votes = ?

Solution :-

• To calculate the votes secured by winner candidate at first we have to set up equation then calculate the votes secured by the winner candidate. Before calculating , we have to assume the total votes were pulled in the election V.

Calculation begins :-

⟹ Winner candidate votes = 100 - 47 = 53%

⟹ Loser candidate votes = 47%

⟹ Winner candidate = Loser candidate

⟹ 53% of Total votes = 47% of total votes + 12336

⟹ 53V/100 = 47/100 × V + 12336

⟹ 53V/100 - 47V/100 = 12336

⟹ (53V - 47V)/100 = 12336

⟹ 6V = 12336 × 100

⟹ V = 2056 × 100

⟹ V = 205600

• Now votes secured by winner candidate :-

⟹ Winner candidate = 53% of Total votes

⟹ Winner candidate = 53/100 × 205600

⟹ Winner candidate = 53 × 2056

⟹ Winner candidate = 108968

Hence,

• Winner candidate got votes = 108968

Answer 2

Given :-

In an election between two candidates, one, a candidate secured 47% of votes polled and the lost the election by 12,336 votes

To Find :-

Total votes polled and the votes secured by the winning candidate.​

Solution :-

Let the total votes be x

Losing candidate got 47 %

Winning candidate will get (100 - 43) = 53 %

Now

53x/100 = 47x/100 + 12336

53x/100 - 47x/100 = 12336

53x - 47x/100 = 12336

6x/100 = 12336

0.06x = (12336)

0.06x = 12336

x = 12336/0.06

x = 2,05,600

Winning candidate = 53% of x

53/100 × 205600

108968