Question

at an election contested by two candidates a candidate got 20% of total votes and defeated by another person by a majority of 2400 votes find the number of votes polled by the winning candidate.

Answer 1

ANSWER :-

2400 votes


Explaination :-

Let the total votes be x .

Majority = 2400 votes

Votes by candidate who loses = 20 % of x

=> 20 x / 100


According to Question


x - 20 x / 100 = 2400

100 x - 20 x / 100 = 2400

80 x / 100 = 2400

80 x = 2400 × 100

80 x = 240000

x = 240000 / 80

x = 3000

So , Here We Get ,

Total Votes = 3000 votes

Votes polled by Candidate who loses :-

=>20 % of total votes

=>20 % of 3000

=>20 / 100 × 3000

=>600


Votes polled by winning candidate :-

=>Total votes - Votes by opposite candidate

=>3000 - 600

=>2400

Answer 2

Answer:

3200

Step-by-step explanation:

The loosing candidate has 20% of total votes.

So the winning candidate has 100% - 20% = 80% of total votes.

The majority is 80% - 20% = 60% of votes.

But its given in the question that the majority is 2400 votes.

Thus 60% = 2400

So 1% = 2400/60 = 40

Winning candidate votes = 80% = 80 * 40 = 3200