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The average weight of a group of 15 persons increases by 2 kg when a person weighing 40 kg is replaced by Saurabh. What is the weight of Saurabh?
  • a)
    75 kg
  • b)
    72 kg
  • c)
    70 kg
  • d)
    64 kg
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The average weight of a group of 15 persons increases by 2 kg when a p...
Combined weight of the group increases by = 2 × 15 = 30 kg
So the answer = 40 + 30 = 70 kg
Hence, Option C is correct.
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Most Upvoted Answer
The average weight of a group of 15 persons increases by 2 kg when a p...
`Understanding the Problem:`
- The average weight of a group of 15 persons increases by 2 kg when a person weighing 40 kg is replaced by Saurabh.
- We need to find the weight of Saurabh.
`Solution:`
- Let the weight of Saurabh be x kg.
- According to the given information, the total increase in weight = 15 * 2 = 30 kg.
- Initially, the total weight of the group excluding Saurabh = 15 * average weight = 15 * (total weight/15) = total weight.
- After Saurabh replaces the person weighing 40 kg, the total weight of the group = total weight + 30 kg.
- Total weight after Saurabh replaces the person = total weight - 40 kg + x kg.
- Given that the average weight of the group increases by 2 kg, we have:
- (total weight - 40 + x) / 15 = (total weight / 15) + 2.
- Simplifying the equation, we get:
- total weight - 40 + x = total weight + 30.
- x = 30 + 40 = 70 kg.
Therefore, the weight of Saurabh is 70 kg. So, option C is the correct answer.
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The average weight of a group of 15 persons increases by 2 kg when a person weighing 40 kg is replaced by Saurabh. What is the weight of Saurabh?a)75 kgb)72 kgc)70 kgd)64 kgCorrect answer is option 'C'. Can you explain this answer?
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