Question

In an election the winning candidate won by 15 %votes. If a total of 5000 votes were cast of which only 86% are eligible, then how many votes the winning candidate get

Answer 1

Answer:

total votes=5000

eligible=86*5000/100

eligible no. of votes=4300

winning candidate get=2300

Answer 2

Given,

Total votes = 5000

Eligible voters = 86% of Total votes

Winner candidate won by 15% votes

To Find,

Votes the winning candidate gets =?

Solution,

Total votes = 5000

Eligible voters = 86% of 5000

Eligible voters = (86 * 5000) / 100

Eligible voters =  (86 * 50)

Eligible voters = 4300 voters

Now, total eligible votes = 4300

Let number of votes losing candidate gets = x

According to the question,

The winning candidate has 15% votes more than the losing candidate.

Therefore, number of votes winning candidates gets = x + 15% of x

number of votes winning candidates gets = x + (15*x) / 100

Therefore,

Total eligible votes = Total votes winner and loser gets

Total eligible votes = 4300 = x + x + (15*x) / 100

4300 = 2x + (3x / 20)

(40x + 3x) / 20 = 4300

43x = 4300 * 20

43x = 86000

x = 86000 / 43

x = 2000

Losing candidate gets 2000 votes

Winning candidate gets votes = x + (15x/100)

Winning candidate gets votes = 2000 +  (15 * 2000/100)

Winning candidate gets votes = 2000 + (15 * 20)

Winning candidate gets votes = 2000 + 300

Winning candidate gets votes = 2300

Hence, the winning candidate get 2300 votes.