Question

In an elaction between two candidates, 10% of votes are were declares invalid. first candidate got 1800 votes more than the second candidate which were 60% of the total valid votes . the total number of votes enrolled in that election was:

Answer 1

1800/10*100
18000
..........

Answer 2

Answer: Total number of enrolled votes are 10,000

Step-by-step explanation:

Let x be the total number of enrolled votes.

Thus, According to the question,

Valid votes = 90% of x = 0.9 x

Winner got votes = 60 % of valid votes = 60% of 0.9 x = 0.54 x

⇒ Second candidate votes = 40% of valid votes = 40% of 0.9 x = 0.36 x

Again according to the question,

0.54 x - 0.36 x = 1800

0.18 x = 1800

x = 10000

Hence, total votes are 10,000.