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In an election contested by two parties A and B, party A secured 25 percent of the total votes more than Party B. If party B gets 15000 votes. By how much votes does party B loses the election?
- a)8000
- b)10000
- c)12000
- d)15000
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
In an election contested by two parties A and B, party A secured 25 pe...
Answer – b) 10000 Explanation : Let total votes = T and party B gets 15000 votes then party A will get T -15000 votes T – 15000 – 15000 = 25T/100
T = 40000, so A get 25000 and B gets 15000 votes, so difference = 10000
T = 40000, so A get 25000 and B gets 15000 votes, so difference = 10000
Most Upvoted Answer
In an election contested by two parties A and B, party A secured 25 pe...
Answer – b) 10000 Explanation : Let total votes = T and party B gets 15000 votes then party A will get T -15000 votes T – 15000 – 15000 = 25T/100
T = 40000, so A get 25000 and B gets 15000 votes, so difference = 10000
T = 40000, so A get 25000 and B gets 15000 votes, so difference = 10000
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In an election contested by two parties A and B, party A secured 25 pe...
Given information:
- Two parties A and B contested in an election
- Party A secured 25% more votes than party B
- Party B got 15000 votes
To find: By how many votes did party B lose the election?
Approach:
- Calculate the total number of votes polled in the election
- Calculate the number of votes secured by party A
- Calculate the percentage of votes secured by party A
- Calculate the percentage of votes secured by party B
- Find the difference between the percentage of votes secured by party A and party B
- Calculate the number of votes secured by party A more than party B
- This difference is the answer to the question
Calculation:
1. Total number of votes polled in the election:
Let the total number of votes polled be x.
According to the question, party B secured 15000 votes.
Therefore, party A secured (15000 + 25% of x) votes.
2. Number of votes secured by party A:
As per the above calculation, party A secured (15000 + 25% of x) votes.
3. Percentage of votes secured by party A:
Percentage of votes secured by party A = (Number of votes secured by party A / Total number of votes polled) x 100
= [(15000 + 25% of x) / x] x 100
4. Percentage of votes secured by party B:
Percentage of votes secured by party B = (Number of votes secured by party B / Total number of votes polled) x 100
= (15000 / x) x 100
5. Difference between the percentage of votes secured by party A and party B:
Difference = Percentage of votes secured by party A - Percentage of votes secured by party B
= [(15000 + 25% of x) / x] x 100 - (15000 / x) x 100
6. Number of votes secured by party A more than party B:
The difference between the percentage of votes secured by party A and party B is 25%.
Therefore, the number of votes secured by party A more than party B = 25% of x.
Given that party B secured 15000 votes,
25% of x = (25/100) x = (15000)
x = (15000 x 100) / 25 = 60000
Therefore, the number of votes secured by party A = 15000 + 25% of 60000 = 30000
And, the number of votes secured by party B = 15000
Hence, party B lost the election by (30000 - 15000) = 15000 votes.
Therefore, the correct option is (B).
- Two parties A and B contested in an election
- Party A secured 25% more votes than party B
- Party B got 15000 votes
To find: By how many votes did party B lose the election?
Approach:
- Calculate the total number of votes polled in the election
- Calculate the number of votes secured by party A
- Calculate the percentage of votes secured by party A
- Calculate the percentage of votes secured by party B
- Find the difference between the percentage of votes secured by party A and party B
- Calculate the number of votes secured by party A more than party B
- This difference is the answer to the question
Calculation:
1. Total number of votes polled in the election:
Let the total number of votes polled be x.
According to the question, party B secured 15000 votes.
Therefore, party A secured (15000 + 25% of x) votes.
2. Number of votes secured by party A:
As per the above calculation, party A secured (15000 + 25% of x) votes.
3. Percentage of votes secured by party A:
Percentage of votes secured by party A = (Number of votes secured by party A / Total number of votes polled) x 100
= [(15000 + 25% of x) / x] x 100
4. Percentage of votes secured by party B:
Percentage of votes secured by party B = (Number of votes secured by party B / Total number of votes polled) x 100
= (15000 / x) x 100
5. Difference between the percentage of votes secured by party A and party B:
Difference = Percentage of votes secured by party A - Percentage of votes secured by party B
= [(15000 + 25% of x) / x] x 100 - (15000 / x) x 100
6. Number of votes secured by party A more than party B:
The difference between the percentage of votes secured by party A and party B is 25%.
Therefore, the number of votes secured by party A more than party B = 25% of x.
Given that party B secured 15000 votes,
25% of x = (25/100) x = (15000)
x = (15000 x 100) / 25 = 60000
Therefore, the number of votes secured by party A = 15000 + 25% of 60000 = 30000
And, the number of votes secured by party B = 15000
Hence, party B lost the election by (30000 - 15000) = 15000 votes.
Therefore, the correct option is (B).
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