Question : The average weight of 15 people increases by 3.2 kg when a new person comes in place of one of them weighing 52 kg. The weight of the new person is:
Option 1: 48 kg
Option 2: 96 kg
Option 3: 100 kg
Option 4: 52 kg
Correct Answer: 100 kg
Solution :
The average weight of 15 people increased by 3.2 when a new person replaced a 52 kg person.
Weight of new person = previous person weight + Increased weight × number of persons
According to the formula,
Weight of new person = 52 + 3.2 × 15 = 52 + 48 = 100
The weight of the new person is 100 kg
Hence, the correct answer is 100 kg.
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