Two candidates contested an election. One of the secured 58% votes and won the election by a margin of 2560 votes. How many votes were polled in all ?
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Let, the total number of votes be, 'x'
∴58% of x = 58x/100
∴The other candidate secured = x-(58x/100)
= (100x-58x)/100
= 42x/100
∴The winning candidate lead by=(58x/100)-(42x/100)
=(58x-42x)/100
= 16x/100
By condition,
16x/100=2560
⇒16x=2560*100
⇒x=256000/16
⇒x=16000
(Ans): 16000 votes were polled.
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