A and B were two candidates in an election. A got 55% of the total votes casted. 10% of the total population did not cast any votes. B got a total of 8100 votes. Find the total population.
1. 24000
2. 29000
3. 20000
4. 25000
1. 24000
2. 29000
3. 20000
4. 25000
Correct Answer – Option 3 : 20000
Given:
A and B were two candidates in an election. A got 55% of the total votes casted. 10% of the total population did not cast any votes. B got a total of 8100 votes.
Formula used:
Percentage increase/decrease = [(new value – actual value)/actual value] × 100
Calculation:
Let the total population be 100x.
Total no. of votes casted = (90/100) × 100x = 90x
Total no. of votes of A = (55/100) × 90x
Total no. of votes of B = (45/100) × 90x
According to question
(45/100) × 90x = 8100
⇒ x = (8100 × 100)/(45 × 90)
⇒ x = 200
Total population = 100 × 200 = 20000
∴ The total population is 20000.