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In an election between two candidates, a candidate who gets 76 % of the total votes polled is elected by a majority of 1480 votes. What is the total n
Question

In an election between two candidates, a candidate who gets 76 % of the total votes polled is elected by a majority of 1480 votes. What is the total number of votes polled? (Consider integral part only)

A.

2800

B.

1800

C.

2846

D.

1846

Correct option is C

Given:

The winning candidate received 76% of the votes. The majority by which the candidate won is 448 votes.
Solution:

Let the total number of votes polled be 'x'.

The winning candidate received 76% of the total votes, so the other candidate received (100% - 76%) = 24% of the votes.

The difference in votes between the two candidates is given as 1480 votes:
 76% of x - 24% of x = 1480

52% of x = 1480

x = 14800.52\frac{1480 }{ 0.52}​​

x = 2846.15 2846\approx 2846​​

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