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:
114 comments Page 9 of 12.

Sam said:   1 decade ago
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.

Saiprasad said:   1 decade ago
Here in question itself describe that 20% is invalid votes. Then how are we considered 45% votes for another person.

Akshay said:   1 decade ago
Why 45% have taken for calculation you have to take 55%?

Ashish said:   1 decade ago
Given 55%of total valid votes.

20% of votes were invalid. And total no. of votes = 7500.

So, no. of invalid votes = (20/100)*7500 = 1500.

Then valid votes = 7500-1500 = 6000.

55% of valid votes = (55/100)*6000 = 3300.

Valid votes which get by another candidate = 6000-3300 = 2700.

So answer is (A) 2700.

Souvik Mandal said:   1 decade ago
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).

Balakrishnan said:   1 decade ago
How to take 20% is the invalid out of 100%? Why can't to take 20% is from 55%?

Anyone can explain question format is right or not?

Sir Sly said:   1 decade ago
Lets try this.

Total votes = 100%.

Invalid votes = 20%.

First candidate's vote = 55.

So we have; 20%+55% = 75%.

From the total votes, we have 25% for the second candidate which will be:

25%*7500 = 1875 or 75%*7500 = 5625.

So 7500-5625 = 1875.

An error earlier I guess.

Jabi Mir said:   1 decade ago
Total Votes = 7500

No.of Invalid Votes = 20% of 7500 = 20/100 x 7500 = 1500.

Total No.of Valid Votes = 7500-1500 = 6000.

By Qs. No.of votes of One Candidate =55%of Valid Votes.

=55/100 x 6000 = 3300.

Therefore, No. of votes of other candidate = 6000-3300 = 2700.

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.

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.


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