There are a certain number of voters in a village and three contestants namely A, B and C contested in a election, A got 40% of the votes, B got x% of the votes and C got (x + 10)% of the votes. The ratio of the votes got by A to B is 8:5 and the number of votes obtained by C is 1050. Find the total number of voters in the village.
a) 2000
b) 3000
c) 2400
d) 4000
e) None of these
Sol:
Let the total number of votes be y
Votes got by A = y * 40/100 = 2y/5
Votes got by B = y * x/100
Votes got by C = y * (x + 10)/100
(2y/5)/(xy/100) = 8/5
2y/5 * 100/xy = 8/5
x = 25%
Percentage of votes got by C = 25 + 10 =35%
Number of votes got by C = 1050
Total number of voters in the village = 1050 *
100/35 = 3000
