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In an election, Candidate A received 27% of the votes, and Candidate B received 73% of the votes. If the difference in their votes was 1380, find the
Question

In an election, Candidate A received 27% of the votes, and Candidate B received 73% of the votes. If the difference in their votes was 1380, find the total number of votes.

A.

2500

B.

2900

C.

3700

D.

3000

Correct option is D

Given:

Candidate A received 27% of the votes.

Candidate B received 73% of the votes.

The difference in their votes is 1380.

Solution:

Let the total number of votes be V.

Candidate A's votes = 27% of V = 0.27V

Candidate B's votes = 73% of V = 0.73V

The difference in votes is given as:

Difference = Votes of B - Votes of A = 1380

0.73V - 0.27V = 1380

0.46V = 1380

V = 13800.46\frac{1380}{0.46}​ = 3000

The total number of votes is 3000.

Thus, the correct option is (d) 3000

Alternate Method:

Let, total votes = 100%

So, 46% → 1380

Total votes 138046%×100%\frac{1380}{46\%} \times 100\% = 3000


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