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 7 of 12.

Mohan said:   9 years ago
A B
VALID 55% 45%
INVALID 20% 80%

45%/125% * 100 = 2700.

Kiran said:   9 years ago
Thank you @Maz.

Kuldeep gautam said:   9 years ago
I think we have to put 35, instead of 45. As total valid votes are 85. Thanks.

Akshay G. said:   9 years ago
No @Kuldeep, 20% are invalid. So 100 - 20 = 80% of valid votes. Why are you thinking of 85% of valid votes?

Kiran said:   9 years ago
55% of votes to one person and 20% are invalid votes 55% + 20% = 75%. Other person get 25% votes. Why 45%, why don't removed those 20% votes from 100%?

Anosh said:   9 years ago
Take total votes as 100 ------------> 7500(given)
Total valid votes = 80%.
Total invalid votes = 20%.

Lets take "A" Got 55% valid votes, which means = (80 * 55)/100 = > 44votes.
Then "B" left with (100 - 55)votes, which is 40votes.
Now multiply 75(GIVEN IN STATEMENT) with 40votes => 40 * 75 => 2700votes.

Gaurav Jangir said:   9 years ago
Other candidate got 25 % as 55 % to first candidate and 20 % are invalid means neither to first candidate nor to other one.

Manu said:   9 years ago
Thanks for your answer @Maz.

Anjali said:   9 years ago
Let total votes = 100.
Invalid votes = 20% of 100 = 20.
Remaining valid votes = 80.
Valid votes for one 55% of 80 = 44.
Valid votes for other= 80 - 44 = 36.
Now, if 100 is total votes, so valid votes for others = 36.
If 7500 = 36 x 7500/100
= 2700 votes.

Mr.Issue said:   8 years ago
Total Vote = 7500,
55% of 7500 = 4125,
Valid vote = (7500-4125) = 3375,
20% of 3375 = 675(invalid votes),
(valid votes he has got)
(3375-675) = 2700.


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