In an election, 70% of the voters voted for P and 20% of the remaining voters voted for Q. The remaining voters didn’t vote. If the total number of votes who voted for P and did not vote is 3760. Find the total number of voters?

In an election, 70% of the voters voted for P and 20% of the remaining voters voted for Q. The remaining voters didn’t vote. If the total number of votes who voted for P and did not vote is 3760. Find the total number of voters? Correct Answer 4000

Let total number of voters in the election be N.

Number of voters for P = 7N/10

Remaining voters = 3N/10

Number of voters for Q = 20/100 × 3N/10 = 3N/50

Total number of voters who didn’t vote = 3N/10 - 3N/50 = 12N/50

Given,

⇒ 7N/10 + 12N/50 = 3760

⇒ N = 4000

Total number of voters = 4000

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.