CAT 1995 — QA Question 16
of the voters promise to vote for P and the rest promised to vote for Q. Of these, on the last day 15% of the voters went back of their promise to vote for P and 25% of voters went back of their promise to vote for Q, and P lost by 2 votes. Then the total number of voters is
Answer & solution
Correct answer: 100
100
- B
110
- C
90
- D
95
Let there be 100 voters in all.
Initially, 40 of these promised to vote for P, while 60 of them promised to vote for Q.
On the last day, (15% of 40) = 6 voters went back of their promise and voted for Q.
Also, 25% of 60 = 15 voters shifted their interest from Q to P.
So finally, P end up getting (40 – 6 + 15) = 49 votes and
Q end up getting (60 – 15 + 6) = 51 votes.
Hence, margin of victory for Q = (51 – 49) = 2, which is true. Hence, there were 100 voters in all.