Question : The average weight of 15 students in a class increases by 1.5 kg when one of the students, who weighs 40 kg, is replaced by a new student. What is the weight in kg of the new student?
Option 1: 64.5 kg
Option 2: 56 kg
Option 3: 60 kg
Option 4: 62.5 kg
Correct Answer: 62.5 kg
Solution :
Given: The average weight of 15 students increased by 1.5 kg.
A student of 40 kg is replaced by a new student.
Let the average weight of each student be w kg.
Initially, total weight = 15 × w
New weight = 15 × (w + 1.5)
According to the question,
15 × (w + 1.5) = 15 × w – 40 + weight of the new student
$\therefore$ Weight of the new student = (15 × 1.5) + 40 = 62.5 kg
Hence, the correct answer is 62.5 kg.
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