In an election X got 30% of the total votes, Y got 33.5% and Z got the remaining votes. If the difference between Z's and X's votes is 260, then how many votes Y got in the election. 

In an election X got 30% of the total votes, Y got 33.5% and Z got the remaining votes. If the difference between Z's and X's votes is 260, then how many votes Y got in the election.  Correct Answer 1340

Given :

In an election X got 30% of the total votes, Y got 33.5% and Z got the remaining votes.

The difference between Z's and A's votes is 260.

Calculations :

X votes + Y Votes + Z votes = 100% of votes 

Z votes = %

⇒ 36.5% 

According to the question 

Z votes - X votes = 260 

⇒ 36.5% of total votes - 30% of total votes = 260 

⇒ 6.5 % of total votes = 260 

⇒ Total votes = 4000 

Now, 

Y votes = 33.5 % of 4000 

⇒ 1340 votes 

∴ Option 3 will be the correct choice.

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.