# There are two candidate in an election 10% of the voters did not vote. 60 votes were declared invalid. the elected candidate got 308 votes more than his opponent. the elected candidate got 47% of total votes how many votes did each candidate get

1
by abhaysingh

2014-08-25T22:17:07+05:30

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Candidate A got m votes,  Candidate B got n votes.  Suppose B was successful.

Total number of voters in the list = N
No Voting or absentees: N * 10/100 = 0.1 N

Total number of VALID votes = n+m
Total number of polled votes = (n+m+ 60) = 90% N = 0.9 N

So,      n+m  = 0.9 N - 60      --- equation 1

n = m + 308
n - m = 308               -- equation 2

Add eq 1 and eq 2:

2 n = 0.9 N + 308 - 60 = 0.9 N + 248

n = 0.45 N + 124                                 -- equation 3

n = 47 % N = 0.47 N                            -- equation 4

So,  0.45 N  + 124 = 0.47 N
124 = 0.02 N

N = 6,200
n = 0.47 * 6,200 = 2,914
m = n - 308 = 2,606