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:
113 comments Page 10 of 12.

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

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 ?

Vinod Anand said:   1 decade ago
Other Candidates found Valid votes are = 100-55 = 45.
and
Invalid Votes are = 100-20 = 80.

Total No.of Votes are = 7500.

80X/100 + 45X/100 = 7500.

125X = 750000.

X = 750000/125 = 6000.

Than The number of valid votes that the other candidate got are,

Put the value of X,

45 x 6000 /100 = 2700 , Option - (A).
(1)

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?

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.

Debyajyoti said:   1 decade ago
Invalid vote= 20%*7500=1500.
Valid vote =7500-1500=6000.
Therefore, 45%*6000=2700 (since 100-55=45).

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

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%

Siraj said:   1 decade ago
Simple friends.
= 45 % ( 80 % 7500 )
= 2700

Anitha said:   1 decade ago
@Navin: your method of explaining was very good. Thanks navin.


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