Question

In an election, only 75% of the total number
of eligible voters cast their votes. The winning
candidate got 58% of the total votes cast and
won by 12.000 votes. What was the total
number of eligible voters?
al 1.00.000
(b) 1.95,000
c)2.10.000
(d) 2,00,000​

Answer 1

Answer:

a) 1,00,000

Step-by-step explanation:

Let the number of Eligible Voters be x

Percent of Eligible voters cast their votes = 75%

75% of x = (75 / 100) × x = 3x / 4

Now Winning Candidate got 58% of total votes cast.

This means we need to find out 58% of 3x / 4

Win = ( 58/ 100 ) × ( 3x / 4 )

Win = (0.58 × 3x) / 4

Win = 1.74x / 4

Also,

Loss = 42% of 3x / 4

Loss = ( 0.42 ) × 3x /4

Loss = 1.26x / 4

Now according to question

Win – Loss = 12000

(1.74x / 4) – (1.26x / 4) = 12000

1.74x – 1.26x = 12000 × 4

0.48x = 48000

x = 48000 /0.48

x = 1,00,000