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The average weight of 20 students is 25 kg. By the admission of new student the average weight is reduced to 24.8 Kg. The weight of new student is :
- A15 Kg
- B20.8 Kg
- C29 Kg
- D22 Kg
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Discussion 1
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CCommunity
We know that, Average weight = (Sum of weight of all students)/(Total no. of students)
Initially, total number of students = 20, and Average weight = 25 Kg
∴ Sum of weight of all students initially = 20 × 25
= 500 Kg
Let the weight of new student be X Kg. Then,
⇒ New sum of weight of all students = (500 + X) Kg
Given: Average weight after entry of new student = 24.8 Kg
$(\therefore 24.8 = \frac{{500 + X}}{{20 + 1}})$
⇒ X = 20.8 kg
Initially, total number of students = 20, and Average weight = 25 Kg
∴ Sum of weight of all students initially = 20 × 25
= 500 Kg
Let the weight of new student be X Kg. Then,
⇒ New sum of weight of all students = (500 + X) Kg
Given: Average weight after entry of new student = 24.8 Kg
$(\therefore 24.8 = \frac{{500 + X}}{{20 + 1}})$
⇒ X = 20.8 kg