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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 ?
  • a)
    70 kg
  • b)
    75 kg
  • c)
    80 kg
  • d)
    85 kg
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The average weight of 8 persons increases by 2.5 kg when a new person ...
Total weight increased = (8 * 2.5) kg = 20 kg.
Weight of new person = (65 + 20) kg = 85 kg.
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Community Answer
The average weight of 8 persons increases by 2.5 kg when a new person ...
Given information:
- There are 8 persons.
- The average weight of these 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg.

To find: The weight of the new person.

Let's assume the average weight of the 8 persons before the new person arrives is 'A' kg.

Calculating the total weight of the 8 persons before the new person arrives:
Total weight = Average weight * Number of persons
Total weight = A kg * 8 = 8A kg

Now, when the new person replaces one of the existing persons, the average weight increases by 2.5 kg. Therefore, the new average weight is 'A + 2.5' kg.

Calculating the total weight of the 8 persons after the new person arrives:
Total weight = New average weight * Number of persons
Total weight = (A + 2.5) kg * 8 = 8A + 20 kg

We know that the total weight of the 8 persons after the new person arrives is equal to the total weight before the new person arrives plus the weight of the new person.

Total weight after new person arrives = Total weight before new person arrives + Weight of new person

Substituting the values:
8A + 20 kg = 8A kg + Weight of new person
20 kg = Weight of new person

Therefore, the weight of the new person is 20 kg.

However, it is important to note that the given answer options do not include 20 kg as an option. Therefore, none of the given answer options are correct.
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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 ?a)70 kgb)75 kgc)80 kgd)85 kgCorrect answer is option 'D'. Can you explain this answer?
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