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In an election between two candidates, the candidate who gets 35% of the votes polled is defeated by 15,900 votes. What is the total number of votes p
Question

In an election between two candidates, the candidate who gets 35% of the votes polled is defeated by 15,900 votes. What is the total number of votes polled?

A.

45,000

B.

35,000

C.

43,000

D.

53,000

Correct option is D

Given:

The candidate who receives 35% of the votes is defeated by 15,900 votes.

Solution:

Let the total number of votes polled be V.

The candidate who gets 35% of the votes has 35% of V, i.e., 0.35V.

The other candidate gets 65% of the votes, i.e., 0.65V.

The difference in votes between the two candidates is 15,900 votes.

Difference in votes = 0.65V - 0.35V = 15,900

0.30V=15,900

V = 15,9000.30=53,000\frac{15,900}{0.30} = 53,000

Thus, the total number of votes polled is 53,000.

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