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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

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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.

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