Aptitude - Percentage - Discussion

Hello to all,

I think this very easy question & Iwill try to solve in very easy way.
Now see,

Total number of votes are = (1136 + 7636 + 11628) = 20400
in which 11628 votes are the highest num. of votes & the candidate who has the highest num of votes is a winner.

Now, we find What percentage of the total votes did the winning candidate get?
And already the % of votes is given in answers, we just try check it whether or not the given % of total num of votes equals to the highest num. of votes.

i.e 57% of 20400 = 11628 (highest num of votes i.e winner)

(57/100) * 20400 = 11628.
So. therefore answer is option (a).57%.

Please, can anyone get me the answer for this question?

In an election, only two candidates contested 20% of the voters did not vote and 120 votes were declared as invalid. The winner got 200 votes more than his opponent thus he secured 41% votes of total voters on the voter list. Percentage votes of the defeated candidate out of total votes cast is?

Total number of votes polled = (1136 + 7636 + 11628) = 20400.

Winner vote = 11628.

20400/100 = 204 (1% of votes),
20400/10 = 2040 (10% of votes)(204 * 10 = 2040),
20400/2 = 10200 (50% of votes)(204 * 50 = 10200),


60% of votes = 50% of votes + 10% of votes = 10200 + 2040 = 12240.

The result is 11628 <12240 (answer is 57%).

@All.

There is a clear point in question like, we have to calculate the winning percentage only. We have already know 3rd contestant has got highest votes. So we have a formula like.

(Number of votes won by the contestant)/(total number of votes won by all).

As we know we are calculating percentage so multiply with 100.

@Ravi.

Winning Candidate vote =11628.
Total vote = 20400.
Winning Candidate vote percentage = (Winning Candidate vote/total vote)*100.
==>(11628/20400)*100.
==>11628/204.
==>57%.

@Venkatesh.

They consider votes of the third person as a winner because the third person got the highest votes. In generic life who gets highest votes that one is the winner.

In this type of questions we can go through options carefully and can judge 57% as ans instead of caluclating that big numbers/ 50%20400 is 10200 and total is near to that..

For quicker calculation, after finding the sum(20400).
use trial and error, we know that,20400 x A/100 = 11628.
204 x A =11628,
4*7=28 last digit 8,
thus, 57 is the answer.

Where
11,628 as 11,600 and 204 as 200.
11600 ÷ 200 = 58.
When we multiply 204 with 58 we get 11,832.
Again, multiple 204 with 57 we get 11,628.
And the answer is 57.

@Vinus.

Total Votes = Sum of Votes of all Party (First party+Second Party+Third Party +.....+n).

But in this question, there are three party.

So add only three party.