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:
119 comments Page 5 of 12.

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).

UTSAB said:   1 decade ago
Invalid Vote 20%
So Valid Vote 100-20=80
55% of The Total Valid Vote=80*55/100=44 Rest [80-44]=36.
7500-7500*20/100=6000
Then 36/80*6000=2700 Answer.

MANu said:   1 decade ago
In the question is asking how many valid votes did the other candidate got so 20%are invalid means 80% so it should be 80-55=25.

Or not because its talking bout valid votes?

Chsk said:   1 decade ago
Why didn't we do this one by in this method?

Total voters = 7500.

In that 20% for non valid, 55% for one group.

So totally 75% were gone the remaining 25% for second candidate.

Shall we do like this ?

Monu said:   1 decade ago
Why we considered 100 that should be out of 80%?

Raji said:   1 decade ago
How came 45%.
As invalid votes are 20% we get 80% valid votes.

55% for one candidate then only 25% for other voter that are valid.

Can anyone explain it?

Shubham Chandra said:   1 decade ago
Its Simple, In question it has already given that one candidate got 55% of valid vote & 20% vote are invalid, SO first cut invalid vote from 7500 i.e. 6000 @ 20%7500. Now 55% of 6000, i.e 3300.

Now subtract 3300 from total valid vote i.e 6000-3300=2700. Answer.

Niresh said:   1 decade ago
Total vote is 100%.
InValid vote is 20%.
Valid vote is 80%.

One's vote is 55% of valid vote.
55% 0f 80% = 44%.

Others valid vote is 80-44 = 36%.
36% of valid vote is 36% of 6000 is 2160 is the answer.


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