The average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?

76 kg
76.5 kg
85 kg
Data inadequate

Correct answer: 85 kg

Solution

The average increases by 2.5 kg for 8 persons, so the total weight increases by $8 \times 2.5 = 20$ kg. Since one person of 65 kg is replaced, the new person's weight is $65 + 20 = 85$ kg.

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