Quantitative Aptitude Ques 2310

Question: There are 50 students in a class. One of them weighing 50 kg goes away and a new student joins. By this the average weight of the class increases by $ \frac{1}{2},kg. $ The weight of the new student is

Options:

A) 70 kg

B) 72 kg

C) 75 kg

D) 76 kg

Show Answer

Answer:

Correct Answer: C

Solution:

  • Let the average be x. Then, sum of weights of all 50 students = 50x According to the question, $ 50x-50+y=50( x+\frac{1}{2} ) $ Where y is the weight of new student. $ 50x-50+y=50x+25 $ $ -,50+y=25 $
    $ \Rightarrow $ $ y=75kg $