Sign in
Please select an account to continue using cracku.in
↓ →
The average weight of a certain number of students in a group is 54 kg. if 12 students of average weight 52 kg join the group, then the average weight of all the students in the group decreases by 750 g. What was the number of students, initially in the group?
Let number of students initially = $$x$$
=> Total initial weight = $$54x$$ kg
Weight of new students = $$12\times52=624$$ kg
=> New average = $$\frac{54x+624}{x+12}=53.25$$
=> $$54x+624=53.25x+639$$
=> $$0.75x=15$$
=> $$x=20$$
$$\therefore$$ There were 20 students initially.
=> Ans - (D)
Was this solution helpful?
Create a FREE account and get:
Start your IIM journey with the right preparation and crack CAT 2026.
Educational materials for CAT preparation
Ask our AI anything
AI can make mistakes. Please verify important information.
AI can make mistakes. Please verify important information.
91- 6303239042
