In a college election a candidate secured 62% of the votes

In a college election a candidate secured 62% of the votes and is elected by a margin of 144 votes. The total number of votes polled is :

Total number of votes polled = x (let)
According to the question,

	x × 60	-	x × (100 - 60)	= 144
	100		100

⇒	60x	-	38x	= 144
	100		100

⇒	24x	= 144
	100

⇒ 24x = 144 × 100

⇒ x =	144 × 100	= 600
	24

Aliter : Using Rule 26
Total number of votes

=	50 × 144	= 600
	50 - 62

(–ve sign will be neglected)