Aptitude - Percentage - Discussion

Number of invalid votes:

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


Number of valid votes:
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.

So, here lets us consider total votes be 100%.
So, remove invalid votes i.e 20 per hen we get 80 per valid vote.
100%-20%(invalid votes) = 80%
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.

It asked to calculate the total number of valid votes that the winning candidate got.

So 1st person got 55% of total valid votes.
2nd person got 45% total valid votes.

So according to question 1st person should be winning right? because he has 55% votes more than 2nd.

In the question, it is nowhere mentioned that we have to calculate the total no of valid votes of 2nd candidate.

So how can the answer be 2700? Please explain me.

There are 7500 total votes. Of these 20% were invalid. This means that 80% were valid.

Multiplying 7500 by 80% gives us 6000 valid votes.

Since 55% of the 6000 valid votes were won by one candidate, that candidate got 6000 x 55%, or 3300 votes.

But the question is how many did the other candidate get. You can get this by multiplying the 6000 by 100"55 or 45% of the vote, or simply subtracting 3300 from 6000 which is 2700 votes.

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.

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.

{Total % of votes} 100% - 55% {valid votes} = 45%.

{rest off} 45% - (20% of 45)% {invalid votes}.
=> 45% - {(20 * 45)/100}%,
=> (45 - 9)%,
=> 36% {valid vote % of other candidate}.

# The total no. of votes was (100%) = 7500 {given}.

No. of valid votes of other candidate:- 7500 * 36%,
=> (7500 * 36)/100,
=> 2700.

The number of valid votes of other candidates = 2700 votes.

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.

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?

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).