Question
In a village 80% of votes were cast in an election. A
and B were the contestants. A won by 800 votes. If B had got 20% more votes, there would have been a tie between them. Find the number of recognised voters in the village?Solution
Let the votes received by A be x & B be y.
Now as per the given statements,
x – y = 800 .....(1) 120%y = x - 20 %y y = 5x/7 ------(2)
Using (3) to solve (1) we get x - 5x/7 = 800 2x/7 = 800 x = 2800, y = 2000 Now, we know that A & B collectively won 80% of total votes. If the total number of registered voters in the village be M,
80 %M = 2800 + 2000 = 4800 so, M = 4800/80 % = 6000
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