Aptitude - Percentage - Discussion
Discussion Forum : Percentage - General Questions (Q.No. 10)
10.
In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was:
Answer: Option
Explanation:
Number of valid votes = 80% of 7500 = 6000.
Valid votes polled by other candidate = 45% of 6000
| = |  |
45 | x 6000 |  |
= 2700. |
| 100 |
Discussion:
113 comments Page 3 of 12.
Hardi Shah said:
5 years ago
Invalid is 20%.
So, valid is (100 - 20) is 80%.
Total votes are 7500.
But we need to count only the valid ones.
So its 80% of 7500.
Which is 6000.
Now already 55% of 6000 is acquired by the 1st candidate.
So 100 - 55 which is 45% is for the other candidate.
Therefore, 45% of 6000.
45/100 * 6000 = 2700.
So, valid is (100 - 20) is 80%.
Total votes are 7500.
But we need to count only the valid ones.
So its 80% of 7500.
Which is 6000.
Now already 55% of 6000 is acquired by the 1st candidate.
So 100 - 55 which is 45% is for the other candidate.
Therefore, 45% of 6000.
45/100 * 6000 = 2700.
Sai said:
5 years ago
100% votes =7500,
then loser percentage is 36% so we can calculate ( 36 * 7500)/100.
then loser percentage is 36% so we can calculate ( 36 * 7500)/100.
Sameer said:
5 years ago
There are 7500 total votes. Of these 20% were invalid. This means that 80% were valid.
Multiplying 7500 by 80% gives us 6000 valid votes.
Since 55% of the 6000 valid votes were won by one candidate, that candidate got 6000 x 55%, or 3300 votes.
But the question is how many did the other candidate get. You can get this by multiplying the 6000 by 100"55 or 45% of the vote, or simply subtracting 3300 from 6000 which is 2700 votes.
Multiplying 7500 by 80% gives us 6000 valid votes.
Since 55% of the 6000 valid votes were won by one candidate, that candidate got 6000 x 55%, or 3300 votes.
But the question is how many did the other candidate get. You can get this by multiplying the 6000 by 100"55 or 45% of the vote, or simply subtracting 3300 from 6000 which is 2700 votes.
Aishwarya said:
6 years ago
Right Michael, the question has a correction. 7500 are total valid votes.
Michael said:
6 years ago
It is required to give total no.of valid votes instead of no.of votes, I got confused. Anyway, a nice question.
Preeti said:
6 years ago
Three candidate participated in a election. Candidate A got 10% votes and candidate B got 65% votes and rest vote get candidate C. Winner candidate won the election by 8000 votes so find the total number of votes.
Please solve the question.
Please solve the question.
(1)
Akshita said:
6 years ago
@Shivani.
80% - (55% of 80).
=> (80 - {(55*80)/100} )%,
=> (80 - 44)%,
valid votes = 36%.
80% - (55% of 80).
=> (80 - {(55*80)/100} )%,
=> (80 - 44)%,
valid votes = 36%.
Akshita said:
6 years ago
{Total % of votes} 100% - 55% {valid votes} = 45%.
{rest off} 45% - (20% of 45)% {invalid votes}.
=> 45% - {(20 * 45)/100}%,
=> (45 - 9)%,
=> 36% {valid vote % of other candidate}.
# The total no. of votes was (100%) = 7500 {given}.
No. of valid votes of other candidate:- 7500 * 36%,
=> (7500 * 36)/100,
=> 2700.
The number of valid votes of other candidates = 2700 votes.
{rest off} 45% - (20% of 45)% {invalid votes}.
=> 45% - {(20 * 45)/100}%,
=> (45 - 9)%,
=> 36% {valid vote % of other candidate}.
# The total no. of votes was (100%) = 7500 {given}.
No. of valid votes of other candidate:- 7500 * 36%,
=> (7500 * 36)/100,
=> 2700.
The number of valid votes of other candidates = 2700 votes.
Shivani said:
6 years ago
How 45% valid vote left?
In question it is said that 20% of the total vote is invalid then 80% valid votes where remaining and if one got 55% valid vote then other on will have (80-55) % = 25% valid vote.
In question it is said that 20% of the total vote is invalid then 80% valid votes where remaining and if one got 55% valid vote then other on will have (80-55) % = 25% valid vote.
Keimah said:
6 years ago
As per the question:
55% out of valid vote which is 80% (since 20% vote is invalid)
Therefore, 80% - 55% = 25% (valid vote left)
So, 25/100 * 6000 = 1500.
55% out of valid vote which is 80% (since 20% vote is invalid)
Therefore, 80% - 55% = 25% (valid vote left)
So, 25/100 * 6000 = 1500.
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