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In an election, a candidate got 65% of the votes and won by a margin of 900 votes. Find the total number of votes.
Question

In an election, a candidate got 65% of the votes and won by a margin of 900 votes. Find the total number of votes.

A.

3500

B.

4000

C.

3000

D.

2500

Correct option is C

Given:

Winning candidate got 65% of the votes
Margin of victory = 900 votes

Formula Used:
Received Vote% = Vote receivedtotal vote×100\frac{\text{Vote received}}{\text{total vote}}\times 100​​

Solution: 

If one candidate gets 65%, the other gets 35%
So, the margin is (65% − 35%) = 30% of total votes

30% of total votes=900 =>30100×Total Votes=90030\% \text{ of total votes} = 900\\ \ \\ \Rightarrow \frac{30}{100} \times \text{Total Votes} = 900​​

Total Votes=900×10030=3000\text{Total Votes} = \frac{900 \times 100}{30} = 3000​​

Thus, the correct option is (c) 3000

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