Percentage Questions

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.

1. Calculate the Total Number of Votes Cast?
2. Calculate the Minimum Votes Required to Win the Election Through Majority Voting?
3. 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