The average weight of 45 students in a class is 52 kg. Five of them whose average weight is 48 kg leave the class and other 5 students whose average weight is 54 kg join the class. What is the new average weight (in kg) of the class?

A. $$52\frac{1}{3}$$

B. $$52\frac{1}{2}$$

C. $$52\frac{2}{3}$$

D. None of these

Answer: Option C

Solution(By Examveda Team)

Sum of the weights of the students after replacement
= [(52 × 45) - (48 × 5) + (54 × 5)] kg
= 2370 kg
∴ New average
= $$\left( {\frac{{2370}}{{45}}} \right)$$ kg
= $$52\frac{2}{3}$$ kg