cat 2022 Question 11

Question

In an election, there were four candidates and 80% of the registered voters casted their votes. One of the candidates received 30% of the casted votes while the other three candidates received the remaining casted votes in the proportion 1 : 2 : 3. If the winner of the election received 2512 votes more than the candidate with the second highest votes, then the number of registered voters was

Accepted Answer

Let the number of registered votes be 100x

The number of votes casted = 80x

Votes received by one of the candidates = $\frac{30}{100} imes 80x = 24x$

Remaining votes = $80x - 24x = 56x$

Votes received by other three candidates is $\frac{56x}{6}, \frac{2 imes 56x}{6}, \frac{3 imes 56x}{6}$

It is given,

$28x - 24x = 2512$

$4x = 2512$

x = 628

The number of registered votes = $100x = 62800$

Question 11.

Question Explanation