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There were 4 candidates K, L, M and N in an election. K received 1000 more votes than M, who received 1000 more votes than N, who receives 1000 more votes than L. L and M together got 48% of the votes, K and N got rest of the votes. Find the total number of votes polled

There were 4 candidates K, L, M and N in an election. K received 1000 more votes than M, who received 1000 more votes than N, who receives 1000 more votes than L. L and M together got 48% of the votes, K and N got rest of the votes. Find the total number of votes polled Correct Answer 50000

Given: There were 4 candidates K, L, M and N in an election. K received 1000 more votes than M, who received 1000 more votes than N, who receives 1000 more votes than L. L and M together got 48% of the votes, K and N got rest of the votes.

Formula: If A got a% votes and B got b% votes, difference in the votes = (a - b) % of Total votes

Calculation:

Suppose L got x number of votes

N got x + 1000 votes

M got x + 2000 votes

K got x + 3000 votes

It is given,

L and M together got 48%

2x + 2000 = 48%      ------(1)

And,

K and N got rest of the votes = 100 – 48 = 52%

2x + 4000 = 52%      ------(2)

Dividing equation 1 by 2

(2x + 2000)/2x + 4000 = 48%/52%

⇒ (x + 1000) / (x + 2000) = 12/13

⇒ x = 11000

Hence total number of votes polled = x + x + 1000 + x + 2000 + x + 3000 = 4x + 6000

= 44000 + 6000 = 50,000

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