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
Explanation:

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

Valid votes polled by other candidate = 45% of 6000

 = 45 x 6000 = 2700. 100

Discussion:
111 comments Page 1 of 12.

Shubham vaskale said:   3 months ago
7500 is the total vote.

And 20% are invalid hence, 1500 votes are invalid then 6000 is a valid vote and one gets 55% then another gets 45% of the valid vote it means 45% of 6000 so the answer becomes 2700.
(9)

Asfak said:   8 months ago
So, here lets us consider total votes be 100%.
So, remove invalid votes i.e 20 per hen we get 80 per valid vote.
Now in 80 per there are 55 per are valid votes so,
55/100x80 =55/10x8=11/2x8=11/1x4=44% we get for one candidate,

In question, they mention other person's valid votes so 80%(valid votes) - 44%(1st candidate) = 36(2nd candidate)
100% = 7500(they are given).
36% = x.
x = 7500 x 36/100 = 75x36 = 2700.
We get 2700 as final.
(17)

Vinod Kumar said:   9 months ago

% of invalid votes = 20
Number of invalid votes = 20/100 * 7500 = 1500

Number of valid votes = 7500 - 1500 = 6000.

Votes won by the first candidate:
% of votes won by the first candidate = 55.
Number of votes won by the first candidate = 55/100 * 6000 = 3300.

Number of valid votes won by the other candidate:
Number of valid votes won by the other candidate = 6000 - 3300 = 2700.

Therefore, the number of valid votes that the other candidate got is 2700.
(72)

Nilesh said:   1 year ago
(3)

Charvi said:   2 years ago
Easy solution is;.

80/100*7500 = 6000,
45/100*6000 = 2700,
(17)

Amar said:   2 years ago
Percentage is always calculated sum of observation/no.of observation * 100%.
(6)

Vibha said:   2 years ago
Total votes=7500 (that includes valid and invalid).

And given that 20% of votes are invalid.

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).
(76)

Jatsho said:   2 years ago
Here first we have to understand the question clearly, it says total votes are 7500, out of which 20% of total votes are invalid, which means 80% is a valid vote. So find the total valid vote that is 80% of 7500 = 6000.

Now, we have 6000 valid votes. From 6000 valid votes, let's say candidate A has 55% valid vote according to the question given, which means candidate B has 45% valid vote so 45% of 6000 is 2700.
(8)

Kaviya varshini said:   2 years ago
@All.

(100-20)% = 80% of valid votes.
80/100*7500 = 6000,

Then for one candidate it is 55% question for other so,(100-55)% = 45%,
So,
45/100 * 6000 = 2700.
(2)

Mayur said:   2 years ago
I don't get it, the question is asking for "what is the total no of VALID votes the other candidate got?