1.

ORIn an election contested between A and B, A obtained votes equal to twice the no. of persons on theelectoral roll who did not cast their votes and this later number was equal to twice his majority over B.If there were 18,000 persons on the electoral roll. How many voted for B.

Answer»

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Let the number of people who did'nt voted be x.

Now the number of people who voted = 18000-x

Number of votes given to A = 2× x = 2x .......As per the queston

Number of votes given to B = Total no. of voters -Total number of votes given to A.i.e. No. of votes given to B = [18000-x]-2xNow As given in the que., x is equal to the twice of majority got by A.Majority got by A = Total no. votes given to A-Total votes given to B.i.e. 2x-[18000-x-2x]So,x = 2{2x-[18000-x-2x]}x = 2{2x - 18000 + 3x}x = 2{5x - 18000}x = 10x - 360009x = 36000x = 4000So, No. of votes given to B = 18000-x-2x = 18000-4000-2×4000 = 18000-12000 = 6000 votes.



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