# In a college election there were two candidates Ramesh and Suresh. Voting being compulsory for every students, 30% voted for Ramesh and out of the rem

19 views

closed

In a college election there were two candidates Ramesh and Suresh. Voting being compulsory for every students, 30% voted for Ramesh and out of the remaining 60% voted for Suresh but the remaining votes were declared invalid. If the difference between the number of votes Ramesh gets and invalid votes is 48. Calculate the total number of students in the college.

1. 1600
2. 1400
3. 2400
4. 3000
5. 3800

by (59.9k points)
selected

Correct Answer - Option 3 : 2400

Given:

Suresh gets 60% of remaining votes

40% of remaining votes are invalid

Concept:

Calculation:

Let total number of students be x

Total number of votes Ramesh gets = 30% of x

Remaining = (100 – 30)% of x

⇒ Remaining = (70% of x) votes

⇒ Remaining = 70/100 × x = (7/10x) votes

(3/10x) – (7/25x) = 48

⇒ (15x – 14x)/50 = 48

⇒ x/50 = 48

⇒ x = 48 × 50

⇒ x = 2400

Number of students in the college is 2400.