**1) Aryan and Adhyan Were Standing in an Election in Which There Were 1,70,540 Voters and Two Candidates. Calculate the Least Votes the Candidate Should Get to Win the Election.**

Total number of votes = 1,70,540

50% of the votes = of 1,70,540.

50/100 = 5 × 17,054

= 85,270

Therefore, to win the least votes required = 85,270 + 1

= 85,271

**2) In a Class of 50 Students, There Was Voting Done for the Election of the Monitor. Three Applicants for the Monitor Were Rupsha, Debahuti, and Parvati. Rupsha Received 40% Votes, Debahuti Received 26% Votes, and Parvati Received 24% Votes. How Many Votes Did Each of Them Receive? Who Was Elected As the Monitor? Which Method Was Used to Choose the Monitor?**

Step 1:

Total number of voters = 50

Percentage of votes received by Rupsha = 40%

Number of votes received by Rupsha = 40% of 50

40/100 × 50 = 4 × 5

= 20

Therefore, Rupsha received 20 votes.

Step 2:

Percentage of votes received by Debahuti = 26%

Number of votes received by Rupsha = 26% of 50

26/100 × 50 = 26 × 5/100

=130/10

= 13

Therefore, Debahuti received 13 votes.

Step 3:

Percentage of votes received by Parvati = 34%

Number of votes received by Parvati = 34% of 50

34/100 × 50 = 34 × 5/100

=170/10

= 17

Therefore, Parvati received 17 votes.

Step 4:

Rupsha received the maximum number of votes, which was 20. Therefore, Rupsha should be elected as a monitor.

The winner is chosen based on the maximum number of votes. Therefore, the plurality method is used.

**3) In a Village With a Population of 2,50,000, There Was an Election for a Gram Pradhan (Sarpanch). Two Candidates Were Standing Against Each Other. Out of the Total Population, 31,540 People Did Not Cast Their Votes.**

**Calculate the Total Number of Votes Cast?****Calculate the Minimum Votes Required to Win the Election Through Majority Voting?****If the Winner Received 1,10,560 Votes. Calculate the Number of Votes Received by the Losing Candidates.**

1. Total population = 2,50,000

Number of people who did not cast their votes = 31,540

Number of votes cast = 2,50,000 – 31,540

= 2,18,460

2. To win the election, the candidates should receive more than 50% of the votes.

Total number of votes = 2,18,460

50% of votes =50/100× 2,18,460

=5 × 2,18,46

=1,09,230

Least votes required to win = 1,09,230 + 1

=1,09,231

3. Total votes = 2,18,460

Votes received by winner = 1,10,560

Votes received by loser = 2,18,460 – 1,10,560

= 1,07,900

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