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 $\begin{array}{l}\text{ New average }\\ =\left(\Large\frac{2370}{45}\right)\mathrm{kg}\\ =52\frac{2}{3}\mathrm{~kg}\end{array}$

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