In a college election a candidate secured 62% of the votes and is elected by a m

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Question

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 :

Options:

A . 1200

B . 925

C . 800

D . 600

Answer: Option D
Answer: (d)
Total number of votes polled = x (let)
According to the question,
${x × 62}/100 - {x × (100 - 62)}/100 = 144$
${62x}/100 - {38x}/100 = 144$
${24x}/100 = 144$
24x = 144 × 100
$x = {144 × 100}/24 = 600$
Using Rule 26,
Total number of votes = ${50 × 144}/{(50 - 62)}$
= ${50 × 144}/12$ ´
(–ve sign will be neglected)
= 600

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