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The following pie chart represent the number of valid votes obtained who contested for school captain. The total number of valid votes polled was 720. Answer the following questions:
Yogesh 120° David 90° Kusum 50° Prabhat 100°
i) Who has won the election? How many votes did he get?
ii) By what margin, the winner defeated the nearest contestant?
iii) Who got minimum number of votes?
iv) What is the number of votes obtained by a candidate?
v) How many votes are obtained by David?
Most Upvoted Answer
The following pie chart represent the number of valid votes obtained w...
Answer:

i) Who has won the election? How many votes did he get?


  • The candidate who won the election is Yogesh.

  • To find the number of votes he got, we need to convert his angle into a fraction of the total angle (360°) and multiply it by the total number of votes.

  • Yogesh's angle is 120°, which is 1/3 of the total angle. So, the number of votes he got is (1/3) * 720 = 240.


ii) By what margin, the winner defeated the nearest contestant?


  • The nearest contestant to Yogesh is Prabhat.

  • To find the margin by which Yogesh defeated Prabhat, we need to find the difference between their vote counts.

  • Yogesh got 240 votes and Prabhat got 100 votes. So, the margin by which Yogesh defeated Prabhat is 240 - 100 = 140 votes.


iii) Who got the minimum number of votes?


  • The candidate who got the minimum number of votes is Kusum.

  • To find the number of votes she got, we need to convert her angle into a fraction of the total angle (360°) and multiply it by the total number of votes.

  • Kusum's angle is 50°, which is 5/18 of the total angle. So, the number of votes she got is (5/18) * 720 = 200.


iv) What is the number of votes obtained by a candidate?


  • The number of votes obtained by a candidate can be found by converting their angle into a fraction of the total angle (360°) and multiplying it by the total number of votes.

  • Yogesh got 240 votes (1/3 * 720).

  • David got 180 votes (1/4 * 720).

  • Kusum got 200 votes (5/18 * 720).

  • Prabhat got 100 votes (1/9 * 720).


v) How many votes are obtained by David? Explain in details.


  • The number of votes obtained by David can be found by converting his angle into a fraction of the total angle (360°) and multiplying it by the total number of votes.

  • David's angle is 90°, which is 1/4 of the total angle. So, the number of votes he got is (1/4) * 720 = 180.

  • Therefore, David got 180 votes.

Community Answer
The following pie chart represent the number of valid votes obtained w...
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The following pie chart represent the number of valid votes obtained who contested for school captain. The total number of valid votes polled was 720. Answer the following questions: Yogesh 120° David 90° Kusum 50° Prabhat 100° i) Who has won the election? How many votes did he get? ii) By what margin, the winner defeated the nearest contestant? iii) Who got minimum number of votes? iv) What is the number of votes obtained by a candidate? v) How many votes are obtained by David?
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The following pie chart represent the number of valid votes obtained who contested for school captain. The total number of valid votes polled was 720. Answer the following questions: Yogesh 120° David 90° Kusum 50° Prabhat 100° i) Who has won the election? How many votes did he get? ii) By what margin, the winner defeated the nearest contestant? iii) Who got minimum number of votes? iv) What is the number of votes obtained by a candidate? v) How many votes are obtained by David? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The following pie chart represent the number of valid votes obtained who contested for school captain. The total number of valid votes polled was 720. Answer the following questions: Yogesh 120° David 90° Kusum 50° Prabhat 100° i) Who has won the election? How many votes did he get? ii) By what margin, the winner defeated the nearest contestant? iii) Who got minimum number of votes? iv) What is the number of votes obtained by a candidate? v) How many votes are obtained by David? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The following pie chart represent the number of valid votes obtained who contested for school captain. The total number of valid votes polled was 720. Answer the following questions: Yogesh 120° David 90° Kusum 50° Prabhat 100° i) Who has won the election? How many votes did he get? ii) By what margin, the winner defeated the nearest contestant? iii) Who got minimum number of votes? iv) What is the number of votes obtained by a candidate? v) How many votes are obtained by David?.
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