Aptitude - Percentage - Discussion

How come 57%? Please explain.

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%.

Total votes.

= 1136 + 7636 + 11628,
= 20400.

Percentage =11628/20400,
= 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.

How come 11628/20400? Please explain me.

@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.

Let the total taken as 100.

20400->100
then;
11628->?
so,
100*11628/20400 = 57.

Let the total taken as 100.

20400->100
then;
11628->?
so,
100*11628/20400 = 57.

The total votes are 1136 + 7636 + 11628 = 20400.
x*20400/100 = 11628.

By solving we get x=57% which is the required answer.

Here you can use trial and error method,

Total votes 20400..
winner or 3rd candidate has votes of 11628.
So, 20400*57/100,
= 11628.