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In a college election 35% voted for Person A, whereas 42% voted for Person B.The remaining people were not vote to any person. If the difference between those who vote for Person B in the election and those who are uncertain was 570, how many people are participated in the college election?
- a)1500
- b)3000
- c)2100
- d)1700
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
In a college election 35% voted for Person A, whereas 42% voted for Pe...
Let the number of individuals involved in election be x.
Percentage of those who were not vote = 100- (35+42)
Percentage of those who were not vote = 100- (35+42)
= 23%
The difference between those who voted,
42% of x – 23% of x = 570
19% of x = 570
x = 570*100/19
= 3000
This question is part of UPSC exam. View all Quant courses
Most Upvoted Answer
In a college election 35% voted for Person A, whereas 42% voted for Pe...
Given information:
- 35% voted for Person A
- 42% voted for Person B
- Remaining people did not vote for any person
- Difference between those who vote for Person B and those who are uncertain was 570
To find: Number of people who participated in the college election
Solution:
Let the total number of people who participated in the election be x.
Then, the number of people who voted for Person A = 35% of x = 0.35x
The number of people who voted for Person B = 42% of x = 0.42x
The number of people who did not vote for any person = (100% - 35% - 42%) of x = 23% of x = 0.23x
According to the given information, the difference between those who voted for Person B and those who did not vote for any person is 570. So,
0.42x - 0.23x = 570
0.19x = 570
x = 3000
Therefore, the total number of people who participated in the college election is 3000.
Answer: Option B (3000)
- 35% voted for Person A
- 42% voted for Person B
- Remaining people did not vote for any person
- Difference between those who vote for Person B and those who are uncertain was 570
To find: Number of people who participated in the college election
Solution:
Let the total number of people who participated in the election be x.
Then, the number of people who voted for Person A = 35% of x = 0.35x
The number of people who voted for Person B = 42% of x = 0.42x
The number of people who did not vote for any person = (100% - 35% - 42%) of x = 23% of x = 0.23x
According to the given information, the difference between those who voted for Person B and those who did not vote for any person is 570. So,
0.42x - 0.23x = 570
0.19x = 570
x = 3000
Therefore, the total number of people who participated in the college election is 3000.
Answer: Option B (3000)
Community Answer
In a college election 35% voted for Person A, whereas 42% voted for Pe...
Let the number of individuals involved in election be x.
Percentage of those who were not vote = 100- (35+42)
Percentage of those who were not vote = 100- (35+42)
= 23%
The difference between those who voted,
42% of x – 23% of x = 570
19% of x = 570
x = 570*100/19
= 3000
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