In an election between two candidates a candidate secured 60 of the valid votes and is elected by a ...........

Quantitative Aptitude (CPO) Percentage

In an election between two candidates, a candidate secured 60% of the valid votes and is elected by a majority of 180 votes. The

total number of valid votes is:

This questions was previously asked in

SSC CPO 11th Nov 2022 Shift 3

1200

1000

800

900

- Let's denote the total number of valid votes as $ V $.

- The candidate secured 60% of the valid votes, which translates to $ 0.6V $.

- The other candidate secured 40%, which means they got $ 0.4V $.

- The majority by which the candidate won is 180 votes.

- To express this mathematically:

$$ 0.6V - 0.4V = 180 $$

- Simplifying gives:

$$ 0.2V = 180 $$

- Solving for $ V $:

$$ V = 180 \div 0.2 = 900 $$

- Option 1: 1200 - This results in a majority of more than 180 votes.

- Option 2: 1000 - Doesn't give the exact majority of 180 votes.

- Option 3: 800 - Results in a smaller majority.

- Option 4: 900 - This is correct; it produces a majority of 180 votes.

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