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:
117 comments Page 3 of 12.

Vaidehi said:   5 years ago
It asked to calculate the total number of valid votes that the winning candidate got.

So 1st person got 55% of total valid votes.
2nd person got 45% total valid votes.

So according to question 1st person should be winning right? because he has 55% votes more than 2nd.

In the question, it is nowhere mentioned that we have to calculate the total no of valid votes of 2nd candidate.

So how can the answer be 2700? Please explain me.

Arundhathi said:   5 years ago
Valid vote for A = 55/100.
Number of valid votes = 80 * 7500/100 = 6000,
Valid votes pooled by A = 55 * 6000/100 = 3300,
So, 6000 - 3300 = 2700.
(1)

Yukash anand said:   5 years ago
Base value 100% the invalid votes are 20% so the valid votes are 80% next one got 55%
So,55% of 80% = 44%.

The winner is 44% and the loser is 36% . The question is the total no of other candidates,
36% = x(unknown value).
100%= 7500(total votes), cross multiple
X*100 = 36 * 7500.
So, x is 2700.
(2)

Yukash anand said:   5 years ago
Base value 100% the invalid votes are 20% so the valid votes are 80% next one got 55%.
So, 55% of 80% = 44%.
The winner is 44% and the loser is 36%. The question is the total no of other candidates,
36% = x( unknown value)
100% = 7500(total votes), cross multiple
X*100 =36 * 7500.
So, x is 2700.

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.

Sai said:   6 years ago
100% votes =7500,

then loser percentage is 36% so we can calculate ( 36 * 7500)/100.

Sameer said:   6 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.

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.
(1)


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