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 6 of 12.

Ashish patel said:   8 years ago
I was also confused that it should be 25% for other candidates.
Since 80% votes are valid.
Now these 80% votes are taken as 100% because we are counting only valid votes, out of which first candidate got 55% votes and other got 45%.
so, 45% of 6000 = 2700.

Ranganatha kamati said:   8 years ago
Total votes are 7500, 20% of total votes are invalid because of total valid votes 80% of the total votes.

100% valid votes =6000 votes.

Therefore first person got 55% of valid votes remaining 45% of valid votes got by other candidates.

Therefore 45% of valid votes =2700 valid votes.

Phani said:   8 years ago
Why can't we do like this?
55% to a
20% to invalid
remaining 25% to b
so 25% of 7500=?

Allen H. Kaleem said:   8 years ago
The total number of votes is 7500 is it including that 20% or excluding that, if so then we have 20% invalid than why are we 100-55, shouldn't we be doing 80-55 subtracting the invalid once?

And if that's the thing the options are wrong.

Samarth upalkar said:   8 years ago
100X = 7500.
X = 75.
(100-20)X = 80X,
55% of 80X = 44X,
(80-44)X = 36X,
36X = 36 * 75 = 2700.

Thor said:   8 years ago
An election is conducted between two candidates in a city. 50000 enrolled voters did not cast their votes and only 80% of cast votes were valid. If the winning candidate won by 12200 votes, the losing candidate got 18% of the total valid votes and 26% of the enrolled voters vote NOTA, then find the total number of enrolled voters?

Can anyone answer this?

ASHUTOSH said:   8 years ago
How can you say that there are 20% total invalid votes? According to me, 20% invalid votes are only for candidate A. Because it is not specified in the question. That these are total invalid votes or votes polled to the candidate no. 1.

Jp... said:   8 years ago
Here in this context 55% and 20% of valid and invalid votes is considered for one candidate. Then how could we consider for the total valid and invalid percents?

Please explain.

Omswaroop said:   8 years ago
Here 1st person already got 55% of "VALID VOTES". 20% of total votes are invalid. So only 80% are valid. Already 55% went. So 2nd person only gets 30% of remaining valid votes. (30/100) *6000 = 1800 votes.

Ashish kumar said:   8 years ago
Simple Thinking read the question and write your answer:

Always consider 100%.
20% invalid, so i.e 80% valid.
55% votes recd by A = 55/100*80 = 44%.
So B recd votes = 80%-44% = 36%,
B's Votes on 100---------36.
B's Votes on 7500---------36/100*7500 = 2700 Votes.


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