In an election between two candidates, the total number of votes polled were 'y'. Out of these, 40% votes were invalid. The winning candidate got 60% of the valid votes, while the other candidate lost by 6000 votes. Find the value of 'y'.
Answer & explanation
Correct answer: option 2
40% = \(\frac{2}{5}\) & 60% = \(\frac{3}{5}\)
Let total number of votes = 100x
Invalid votes = \(\frac{2}{5}\) × 100x = 40x
Valid votes = 100x - 40x = 60x
Votes of Winner candidate = \(\frac{3}{5}\) × 60x = 36x
Votes of looser candidate = 60x - 36x = 24x
ATQ,
( 36x - 24x ) = 6000
12x = 6000
x = 500
Total Number of votes = 100x
= 100 × 500
= 50000
So , Total number of votes = 50,000