The average weight of 8 persons increases by 2.5 kg when one of them, who weighs 56 kg, is replaced by a new person. What is the weight of the new person?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 76 kg
When one member is replaced, the total changes by (new weight − old weight), and this change equals the rise in the average times the number of persons.
Rise in the total weight \(=8\times2.5=20\) kg
The new person weighs 20 kg more than the person who left
Weight of the new person \(=56+20=76\) kg
The new person weighs 76 kg.