1.

Two candidates A and B contest an election. A gets 46% of the valid votes and isdefeated by 1600 votes. Find the total number of valid votes cast in the election.

Answer»

Let the numberofvalid votes be xA gets 46%of valid votes that means46/100×x=23x/50Therfore numberofvotes for B will be X -23x/50 Numberof votes of B -number of A=1600x -23x/50 -(23x/50)=1600x -46x/50 =160050x-46x =1600×504x= 1600×50X = 1600×50/4X=20000Therefore the total number of valid votes cast is 20000

let total cast vote =100xA got=100x*46/100=46xB got=100x-46x=54xA/S54x=46x+160054x-46x=16008x=1600x=1600/8=200total cast vote=100x= 100*200=20000



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