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:
2700
2900
3000
3100
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 9 of 12.

Nishchay Chaurasiya said:   6 years ago
The total votes= 7500.

Invalid votes % = 20% of total votes i.e 20%of 7500=1500.
So, total valid votes= 7500-1500 = 6000.
Now, think about total valid votes only i.e 6000(which means it is 100% valid vote only).
Out of 100%, one got 55% of the valid vote and other (100-55) = 45%.
So, we get 45% of 6000= 2700 which is required answer.

Angad said:   6 years ago
55% Votes Are Valid.. And Remaining 45% is 3375.

So, out of these 45%.
20% are Invalid so 20% of 3375 (i.e 45%) is 675 votes which are Invalid and Valid Votes are 3375-675 = 2700.
(1)

Raj said:   6 years ago
Total votes is 7500, invalid votes is 20%= 6000.
6000 * 55%=3300 valid votes and remaining votes are 6000-3300=2700.
(1)

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.

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.

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.

Akshita said:   6 years ago
@Shivani.

80% - (55% of 80).
=> (80 - {(55*80)/100} )%,
=> (80 - 44)%,
valid votes = 36%.

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.
(1)

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.

Aishwarya said:   6 years ago
Right Michael, the question has a correction. 7500 are total valid votes.


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