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
Show Answer
Answer-C
Solution-
Solution(By Apex Team)
Sum of the weights of the students after replacement
= [(52 × 45) – (48 × 5) + (54 × 5)] kg
= 2370 kg
$\begin{array}{l}\text{ New average }\\
=\left(\Large\frac{2370}{45}\right)\mathrm{kg}\\
=52\frac{2}{3}\mathrm{~kg}\end{array}$