Aptitude - Percentage - Discussion

Discussion :: 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:

[A]. 2700
[B]. 2900
[C]. 3000
[D]. 3100

Answer: Option A

Explanation:

Number of valid votes = 80% of 7500 = 6000.

Valid votes polled by other candidate = 45% of 6000

= 45 x 6000 = 2700.
100


Bharathi said: (Feb 7, 2011)  
How 80% and 45% are arrived?

Asoka said: (Feb 23, 2011)  
Out of 100% votes 20% is invalid votes i.e. 100%-20%= 80% valid votes and 100-55%=45% other got these much.

Manu said: (Apr 22, 2011)  
How 6000 came ?

Aparna said: (May 26, 2011)  
@Manu

80/100*7500 = 6000

Muthalageee said: (Jul 3, 2011)  
The answer rite.

First deduct the invalid 20% from the total 7500 =6000.

So the other candidate valid vote is 45/100*6000=2700 (since 55-100=45).

Shiv said: (Sep 14, 2011)  
How you know its 80%?

Moni said: (Sep 19, 2011)  
20% are the invalid votes so we consider oly 80%.

Syed said: (Dec 4, 2011)  
In 55% votes only 35% of votes only valied therefore 35+45 is 80 to find total no of valid votes we do 80*7500/100

Mridul Roy said: (Jan 6, 2012)  
There is another method we can apply :
The total % of invalid vote is 20% i.e. 100-20 = 80
therefore, out of 100%, 80% vote are valid vote.

so, the first candidates got 55% of 80. i.e. 44.
and the second candidates got 80-44 = 36.

therefore, 36/100*7500 = 2700.

Navin said: (Jan 21, 2012)  
We can also do it as ..
There is only 80% votes are valid so
80% of 7500 = 6000 are total valid votes
and one candidate got 55% of total votes i.e.6000*55/100=3300( votes of one candidate )

So other candidate got votes 6000-3300=2700 votes.

Maq said: (Jan 22, 2012)  
Try this method

Invalid votes = 20*7500/100=1500
Total Valid Votes = 7500-1500=6000
Candidate A got 55*6000/100=3300
Candidate B valid votes = 6000-3300=2700

Rachi Gupta said: (Feb 12, 2012)  
How 80% and 45% are arrived?

Shomik Sen said: (Mar 11, 2012)  
Question says 55%, then how come the answer have 45% ?

Anitha said: (Mar 20, 2012)  
@Navin: your method of explaining was very good. Thanks navin.

Siraj said: (May 10, 2012)  
Simple friends.
= 45 % ( 80 % 7500 )
= 2700

Akshay said: (Aug 22, 2012)  
Valid votes are 55% and total votes are 7500. &20% are not valid so till 80% its correct but after that how you took 45%????? coz we should deduct 55% from 80% not from 100% because valid votes are 80% not 100% so accordingly, 2nd candidate would get only 25%

Archana said: (Sep 17, 2012)  
Why cant we do in this way?

First considering the valid votes 80%of 7500=6000, 1st person's votes are 55% so, 55% of 6000= 3300, now subtracting it from total valid votes we get the second persons votes=2900

Debyajyoti said: (Sep 20, 2012)  
Invalid vote= 20%*7500=1500.
Valid vote =7500-1500=6000.
Therefore, 45%*6000=2700 (since 100-55=45).

Utsab said: (Nov 9, 2012)  
Invalid Vote 20%
So Valid Vote 100-20=80
55% of The Total Valid Vote=80*55/100=44 Rest [80-44]=36.
7500-7500*20/100=6000
Then 36/80*6000=2700 Answer.

Manu said: (Feb 8, 2013)  
In the question is asking how many valid votes did the other candidate got so 20%are invalid means 80% so it should be 80-55=25.

Or not because its talking bout valid votes?

Vinod Anand said: (Jun 3, 2013)  
Other Candidates found Valid votes are = 100-55 = 45.
and
Invalid Votes are = 100-20 = 80.

Total No.of Votes are = 7500.

80X/100 + 45X/100 = 7500.

125X = 750000.

X = 750000/125 = 6000.

Than The number of valid votes that the other candidate got are,

Put the value of X,

45 x 6000 /100 = 2700 , Option - (A).

Chsk said: (Nov 8, 2013)  
Why didn't we do this one by in this method?

Total voters = 7500.

In that 20% for non valid, 55% for one group.

So totally 75% were gone the remaining 25% for second candidate.

Shall we do like this ?

Monu said: (Jan 6, 2014)  
Why we considered 100 that should be out of 80%?

Raji said: (Feb 4, 2014)  
How came 45%.
As invalid votes are 20% we get 80% valid votes.

55% for one candidate then only 25% for other voter that are valid.

Can anyone explain it?

Shubham Chandra said: (Mar 27, 2014)  
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.

Niresh said: (Aug 8, 2014)  
Total vote is 100%.
InValid vote is 20%.
Valid vote is 80%.

One's vote is 55% of valid vote.
55% 0f 80% = 44%.

Others valid vote is 80-44 = 36%.
36% of valid vote is 36% of 6000 is 2160 is the answer.

Jabi Mir said: (Aug 10, 2014)  
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.

Sir Sly said: (Nov 12, 2014)  
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.

Balakrishnan said: (Nov 16, 2014)  
How to take 20% is the invalid out of 100%? Why can't to take 20% is from 55%?

Anyone can explain question format is right or not?

Souvik Mandal said: (Dec 14, 2014)  
Total number of vote = 7500.

Valid vote for Candidate A = 55%.

Valid vote for Candidate B = (100-55)% = 45%.

Total invalid vote = 20%.

Total valid vote = (100-20)% = 80%.

Total number of valid vote = 80% of 7500.

= 80/100 x 7500.
= 6000.

Valid votes polled by other candidate = 45% of 6000.

= 45/100 x 6000.
= 2700.

So, the answer is (A).

Ashish said: (Aug 12, 2015)  
Given 55%of total valid votes.

20% of votes were invalid. And total no. of votes = 7500.

So, no. of invalid votes = (20/100)*7500 = 1500.

Then valid votes = 7500-1500 = 6000.

55% of valid votes = (55/100)*6000 = 3300.

Valid votes which get by another candidate = 6000-3300 = 2700.

So answer is (A) 2700.

Akshay said: (Aug 18, 2015)  
Why 45% have taken for calculation you have to take 55%?

Saiprasad said: (Aug 26, 2015)  
Here in question itself describe that 20% is invalid votes. Then how are we considered 45% votes for another person.

Sam said: (Sep 8, 2015)  
Person A got 55% total valid votes but out of 55% he got 20% invalid votes.

So 55-20=35% valid votes he got.

Then 35% valid votes got by A+20% invalid votes got by A+45% valid votes got by B.

Now we calculate 20/100*7500 = 1500 invalid votes got by A.

Then total valid votes are = 7500-1500 = 6000.

35/100*6000 = 2100 valid votes got by A.

45/100*6000 = 2700 valid votes got by B.

2700 is the answer.

Yash said: (Sep 13, 2015)  
Total votes = 7500 and 20% are invalid 7500*20/100 = 1500, and 7500-1500 = 5000, and 5000*55/100 = 2750.

Terminator said: (Oct 29, 2015)  
55% of 7500 = 4125.

20% of 7500 = 1500.

4125+1500 = 5625.

7500-5625 = 1875.

So 1875 is the correct answer.

Maz said: (Nov 28, 2015)  
Friends, first let's calculate the % of valid votes:

20% = 1/5*7500 = 1500 invalid and valid will be 7500-1500 = 6000 valid votes.

Let's see the valid votes of the first candidate 55% of 6000.

= 55/100*6000 = 3300. So this is the first, do not confuse your self and think, we have 2 people one got 3300 out of 6000, so how many did the second get, 6000-3300 = 2700.

Mudi said: (Jan 10, 2016)  
Total number of votes = 7500.

Number of invalid votes = 20/100*7500 = 1500 (i.e. 20% of total votes).

Number of valid votes = 7500-1500 = 6000.

But one person got 55% of valid vote = 55/100*6000 = 3300.

And definitely, the other candidate will be left with = 6600-3300 = 2700.

The required answer will be 2700.

Sana said: (Feb 11, 2016)  
Invalid votes are 20%.

So total votes 7500*20/100 = 6000.

Another candidate elected 55%.

Remaining percentage are 45%.

= 6000*45/100 = 2700.

Davinder Dingh Shekhawat said: (Jun 2, 2016)  
How 80 and 45 will come? Please explain the step.

Praveen said: (Jun 15, 2016)  
A and B candidates participated in an election. 20% of voters did not participate in the voting. 10% of polled votes are invalid. A received 50% votes of polling and winner by a margin of 600. Total new of voters in a village are?

Mohan said: (Jul 1, 2016)  
A B
VALID 55% 45%
INVALID 20% 80%

45%/125% * 100 = 2700.

Kiran said: (Jul 3, 2016)  
Thank you @Maz.

Kuldeep Gautam said: (Aug 30, 2016)  
I think we have to put 35, instead of 45. As total valid votes are 85. Thanks.

Akshay G. said: (Sep 8, 2016)  
No @Kuldeep, 20% are invalid. So 100 - 20 = 80% of valid votes. Why are you thinking of 85% of valid votes?

Kiran said: (Sep 20, 2016)  
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: (Sep 22, 2016)  
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: (Oct 1, 2016)  
Other candidate got 25 % as 55 % to first candidate and 20 % are invalid means neither to first candidate nor to other one.

Manu said: (Oct 5, 2016)  
Thanks for your answer @Maz.

Anjali said: (Dec 5, 2016)  
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: (Apr 29, 2017)  
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.

Manish. said: (May 12, 2017)  
An election is conducted between two candidates 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 total inrolled votes is NOTA. Then find the total inrolled votes?

Can anyone answer this?

Priya said: (May 24, 2017)  
Here, 45 comes because 15 are invalid votes out of 55.

Ashish Kumar said: (May 30, 2017)  
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.

Omswaroop said: (Jun 1, 2017)  
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.

Jp... said: (Jun 8, 2017)  
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.

Ashutosh said: (Jun 17, 2017)  
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.

Thor said: (Jul 17, 2017)  
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?

Samarth Upalkar said: (Jul 22, 2017)  
100X = 7500.
X = 75.
(100-20)X = 80X,
55% of 80X = 44X,
(80-44)X = 36X,
36X = 36 * 75 = 2700.

Allen H. Kaleem said: (Jul 25, 2017)  
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.

Phani said: (Sep 15, 2017)  
Why can't we do like this?
55% to a
20% to invalid
remaining 25% to b
so 25% of 7500=?

Ranganatha Kamati said: (Oct 1, 2017)  
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.

Ashish Patel said: (Dec 5, 2017)  
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.

Sikendra Sah said: (Jan 11, 2018)  
Let 100% = 7500
10%= 750
20%= 1500
80%= 6000

Again let 100%= 6000
10%= 600, 10*4= 600*4 , 40%= 2400
5%= 300.

Therefore 45%=2400+300= 2700 Ans.

Gautam said: (Feb 22, 2018)  
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.

Kumar Rohit said: (Feb 26, 2018)  
Anyone please solve this.

In an election, 50000 voters didn't poll their votes. 20% of them who casted were declared invalid and 18% of the valid votes are received by the looser while 26% of the total listed votes are declared nota. If the winner defeated looser by 12100 votes. Then find the total no of votes listed in the voter list.

Amiya said: (Mar 14, 2018)  
1500 is the right answer because 6000 is 100%.
So 25% of 6000is 1500.

Preeti said: (May 18, 2018)  
Why you all are considering 45% valid votes for other people,

100-20 % = 80% votes are valid,
As 55% valid for one person,
However, 45% is total votes (valid + invalid) other person got.

Dhananjay Gore said: (Jul 13, 2018)  
(7500 * 4/5)*9/20 = 2700.

Anand said: (Aug 12, 2018)  
Thanks for your answer @Preeti.

Aiswarya said: (Aug 23, 2018)  
Thanks for your answer @Mudi.

Bhagi said: (Aug 25, 2018)  
Please, anyone, give me the explanation of the answer to me.

Sapna said: (Aug 31, 2018)  
How could you take valid votes of other candidates as 45%?

The total valid vote is 80%.

So we have to take 80%-55%=25% for other candidates.

Roopsingh said: (Aug 31, 2018)  
How come this 6000?

Ezekiel said: (Sep 25, 2018)  
How it came 45% in other votes?

Dipa said: (Jan 25, 2019)  
How come 6000 here?

Sujith Kumar said: (Mar 2, 2019)  
How valid votes become 35%?

It is 80-55=25%, right?

Kartik Kakkar said: (Apr 25, 2019)  
Two candidates fought an election. One got 65% of the votes and won at a margin of 3600 votes. The total number of votes polled is?

Can anyone tell me the answer? Please.

Anjana said: (May 19, 2019)  
Valid votes + invalid votes= total votes.
Given total votes =7500.
Also given invalid votes= (20/100) 7500=1500.
So invalid votes=1500.

That means valid votes=total-invalid.
7500-1500=6000.

Now given that one candidate got 55% of valid votes that means other candidate got 45% valid votes.
i.e. (45/100) 6000=2700.

Jigar Desai said: (Jun 24, 2019)  
Thanks @Navin.

Nishchay Chaurasiya said: (Jul 11, 2019)  
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: (Jul 24, 2019)  
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.

Raj said: (Aug 7, 2019)  
Total votes is 7500, invalid votes is 20%= 6000.
6000 * 55%=3300 valid votes and remaining votes are 6000-3300=2700.

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