The average weight of 15 students in a class increases by 1.5 kg when one of the students weighing 40 kg is replaced by a new student. What is the weight (in kg) of the new student ?
A. 64.5 kg
B. 56 kg
C. 60 kg
D. 62.5 kg
Answer: Option D
Solution(By Examveda Team)
Let the weight of 1 student = x kgThe weight to 15 student = 15x kg
Let the weight of new comer = y kg
∴ According to the question,
⇒ 15x - 40 + y = 15 (x + 1.5)
⇒ 15x - 40 + y = 15x + 22.5
⇒ y = 62.5 kg
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Easiest way is
1.5× 15=22.5
22.5+40=62.5 kg