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 3 of 12.

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.

Vibha said:   3 years ago
Total votes=7500 (that includes valid and invalid).

And given that 20% of votes are invalid.

So, 20%of 7500=1500 (invalid votes).

Now finding valid votes 7500 - 1500=6000.

The 1st person gained 55% of 6000 votes.
55%of 6000=3300 (1 person).

For other persons 6000 - 3300 = 2700 (2nd person).
(90)

Ash said:   7 months ago
Total invalid votes = 20%.
Then valid votes = 80% out of which 55% for one candidate and 45% for the other candidate.
Total votes = 7500; Let that be the 100% votes.
So, 1% = 75.
80% = 6000.
6000 x 45/100 = 2700 (out of the total valid votes, the number of valid votes the other candidate got).
(9)

Gautam said:   8 years ago
In an election between a and b 70% of the electors cast their votes and a won the election be 400 votes. If a had received 12.5% less votes than the election would have been a tie if none of the casted votes is declared valid then find the total number of listed votes.

Please solve this.

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.

Mayur said:   4 years ago
I don't get it, the question is asking for "what is the total no of VALID votes the other candidate got?

If the 20% is invalid votes then from 80% valid votes.
1st candidate gets 55% then what is left (80-55) is 25% of valid votes.
Then that is the count of another candidate - 25%.
(14)

Sir Sly said:   1 decade ago
Lets try this.

Total votes = 100%.

Invalid votes = 20%.

First candidate's vote = 55.

So we have; 20%+55% = 75%.

From the total votes, we have 25% for the second candidate which will be:

25%*7500 = 1875 or 75%*7500 = 5625.

So 7500-5625 = 1875.

An error earlier I guess.

Shubham Chandra said:   1 decade ago
Its Simple, In question it has already given that one candidate got 55% of valid vote & 20% vote are invalid, SO first cut invalid vote from 7500 i.e. 6000 @ 20%7500. Now 55% of 6000, i.e 3300.

Now subtract 3300 from total valid vote i.e 6000-3300=2700. Answer.

Jabi Mir said:   1 decade ago
Total Votes = 7500

No.of Invalid Votes = 20% of 7500 = 20/100 x 7500 = 1500.

Total No.of Valid Votes = 7500-1500 = 6000.

By Qs. No.of votes of One Candidate =55%of Valid Votes.

=55/100 x 6000 = 3300.

Therefore, No. of votes of other candidate = 6000-3300 = 2700.


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