In an election, three candidates appeared A, B and C. A and C got equal number of votes. B got the remaining votes which were equal to 48% of the total votes polled. The sum of the total number of votes that B and C received was 1702000. Find the number of total votes casted to these 3 candidates.

In an election, three candidates appeared A, B and C. A and C got equal number of votes. B got the remaining votes which were equal to 48% of the total votes polled. The sum of the total number of votes that B and C received was 1702000. Find the number of total votes casted to these 3 candidates. Correct Answer 2300000

Given:

A and C got equal number of votes.

B got the remaining votes which were equal to 48% of the total votes polled.

The sum of the total number of votes that B and C received was = 1702000.

Formula:

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

Calculation:

Let the total votes polled be 100x

B gets 48x

Remaining votes = 100x – 48x = 52x

A and C get equal votes = 52x/2 = 26x

Given that sum of votes of B and C = 1702000

⇒ 48x + 26x = 1702000

⇒ 74x = 1702000

⇒ X = 1702000/74 = 23000

Hence required answer = 100 × 23000 = 2300000 

Related Questions

Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. In an election there are three candidates A, B and C.What is the difference between the votes received by A and C if 15% of voters in the city didn't cast their vote? I A got 40% votes and got 7650 less votes than combined votes of B and C. Difference between the votes of B and C is 1850. B got more votes than C. II To win the election a candidate requires 33% of the total eligible votes and A won the election by 450 votes.