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:
115 comments Page 4 of 12.

Mridul Roy said:   1 decade ago
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:   1 decade ago
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:   1 decade ago
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:   1 decade ago
How 80% and 45% are arrived?

Shomik Sen said:   1 decade ago
Question says 55%, then how come the answer have 45% ?

Anitha said:   1 decade ago
@Navin: your method of explaining was very good. Thanks navin.

Siraj said:   1 decade ago
Simple friends.
= 45 % ( 80 % 7500 )
= 2700

Akshay said:   1 decade ago
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:   1 decade ago
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:   1 decade ago
Invalid vote= 20%*7500=1500.
Valid vote =7500-1500=6000.
Therefore, 45%*6000=2700 (since 100-55=45).


Post your comments here:

Your comments will be displayed after verification.