The average weight of 7 persons increases by 3 kg when a new person comes in place of one of them weighing 56 kg. What might be the weight of the new person?

Given:

The average weight of 7 persons increases by 3 kg when a new person replaces one of them weighing 56 kg.

Old person's weight = 56 kg

Increase in average = 3 kg

Number of people = 7

Formula used:

Total increase in weight = Increase in average × Number of people

New person's weight = Old person's weight + Total increase in weight

Calculation:

Total increase in weight = 3 × 7

⇒ Total increase in weight = 21 kg

New person's weight = 56 + 21

⇒ New person's weight = 77 kg

∴ The correct answer is option (2).