At an election between two candidates $95$ votes were declared invalid. The winning secures 65% of the valid votes and win by $615$ votes. Find the total number of votes polled ?

Open in App

Solution

Let the total no. of valid vote polled be $x$ .
Votes secured by winner $= 65 % \times x = 0.65 x$
Votes secured by looser $= (100 % - 65 %) \times x = 0.35 x$
Difference between winner and looser $0.65 x - 0.35 x = 615 ⟹ x = 2050$
Total no.of votes polled $= 2050 + 95 = 2145$ votes.

Suggest Corrections

Similar questions

Q. At an election involving two candidates,

68

votes were declared invalid. The winning candidate secures

52 %

and wins by

98

votes. The total number of votes polled are :

In an election, a candidate got $65 %$ of the total valid votes, $8 %$ of the total votes were declared invalid. If the total number of votes cast $6, 00, 000,$ find the number of valid votes polled in favour of the candidate.

Q. In an election between two candidates, one, candidate secured

47 %

of votes polled and lost the election by

12, 366

votes. Find the total votes polled and the votes secured by the winning candidate.

Q. In an election between two candidates, first candidate get

80 %

of the total valid votes. If

10 %

of the total

1, 80, 000

votes were declared invalid then the number of valid votes polled in favour of the second candidate are:

Q. In an election involving two candidates, 68 votes were found invalid. The winning candidate scores 52% and wins by 98 votes. The total number of votes casted is

Join BYJU'S Learning Program

At an election between two candidates 95 votes were declared invalid. The winning secures 65% of the valid votes and win by 615 votes. Find the total number of votes polled ?

Let the total no. of valid vote polled be x.Votes secured by winner =65%×x=0.65xVotes secured by looser =(100%−65%)×x=0.35xDifference between winner and looser 0.65x−0.35x=615⟹x=2050Total no.of votes polled=2050+95=2145 votes.

At an election between two candidates $95$ votes were declared invalid. The winning secures 65% of the valid votes and win by $615$ votes. Find the total number of votes polled ?

Let the total no. of valid vote polled be $x$ .
Votes secured by winner $= 65 % \times x = 0.65 x$
Votes secured by looser $= (100 % - 65 %) \times x = 0.35 x$
Difference between winner and looser $0.65 x - 0.35 x = 615 ⟹ x = 2050$
Total no.of votes polled $= 2050 + 95 = 2145$ votes.