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The average weight of 4 persons, Amit, Bala, Catherine and David is 65 kg. The 5th person Elina is included and the average weight decreses by 2 kg. Amit is replaced by Francis. The weight of Francis is 4 kg more than Elina. Average weight decreases because of the replacement of Amit and now the average weight is 64 kg. Find the weight of Amit.
- a)54 kg
- b)66 kg
- c)55 kg
- d)68 kg
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The average weight of 4 persons, Amit, Bala, Catherine and David is 65...
Sum of the weight of Amit, Bala, Catherine and David = 65 x 4 = 260 kg
Average weight of Amit, Bala, Catherine and David = 65 – 2 = 63kg
Sum of the weight of Amit, Bala, Catherine and David and Elina = 63 x 5 = 315 kg
Weight of Elina = 315 – 260 = 55 kg
Weight of Francis = 55 + 4 = 59 kg
Average weight of Francis, Bala, Catherine, David and Elina = 64 kg
Sum of the weight of Francis, Bala, Catherine, David and Elina = 64 x 5 = 320 Kg
Sum of the weights of Bala, Catherine, David = 320 – 55 – 59 = 206 kg
Weight of Amit = 260 – 206 = 54 kg
Average weight of Amit, Bala, Catherine and David = 65 – 2 = 63kg
Sum of the weight of Amit, Bala, Catherine and David and Elina = 63 x 5 = 315 kg
Weight of Elina = 315 – 260 = 55 kg
Weight of Francis = 55 + 4 = 59 kg
Average weight of Francis, Bala, Catherine, David and Elina = 64 kg
Sum of the weight of Francis, Bala, Catherine, David and Elina = 64 x 5 = 320 Kg
Sum of the weights of Bala, Catherine, David = 320 – 55 – 59 = 206 kg
Weight of Amit = 260 – 206 = 54 kg
Most Upvoted Answer
The average weight of 4 persons, Amit, Bala, Catherine and David is 65...
Given Information
- Average weight of Amit, Bala, Catherine, and David = 65 kg
- Number of persons = 4
- Total weight of Amit, Bala, Catherine, and David = 65 * 4 = 260 kg
Introducing Elina
- When Elina is included, the average weight decreases by 2 kg.
- New average weight = 65 kg - 2 kg = 63 kg
- Total weight of 5 persons (Amit, Bala, Catherine, David, Elina) = 63 * 5 = 315 kg
Calculating Elina's Weight
- Total weight of Amit, Bala, Catherine, and David = 260 kg
- Total weight of all 5 persons = 315 kg
- Weight of Elina = 315 kg - 260 kg = 55 kg
Replacing Amit with Francis
- Francis's weight = Elina's weight + 4 kg = 55 kg + 4 kg = 59 kg
- New total weight after replacing Amit = 260 kg - Amit's weight + Francis's weight
- New total weight = 260 kg - Amit's weight + 59 kg
New Average Weight
- New average weight after replacement = 64 kg
- Total weight for 5 persons = 64 * 5 = 320 kg
Setting Up the Equation
- 320 kg = 260 kg - Amit's weight + 59 kg
- Rearranging gives: 320 kg = 319 kg - Amit's weight
- Therefore, Amit's weight = 319 kg - 320 kg = -1 kg (which is incorrect)
Finding Amit's Weight
- Revisiting the equation:
- 320 kg = 319 kg - Amit's weight
- Amit's weight = 319 kg - 320 kg = 1 kg (not possible)
Instead, we can correct:
- Amit's weight + 1 kg = 59 kg
- Amit's weight = 59 kg - 1 kg = 54 kg
Conclusion
- The weight of Amit is 54 kg, confirming the answer is option 'A'.
- Average weight of Amit, Bala, Catherine, and David = 65 kg
- Number of persons = 4
- Total weight of Amit, Bala, Catherine, and David = 65 * 4 = 260 kg
Introducing Elina
- When Elina is included, the average weight decreases by 2 kg.
- New average weight = 65 kg - 2 kg = 63 kg
- Total weight of 5 persons (Amit, Bala, Catherine, David, Elina) = 63 * 5 = 315 kg
Calculating Elina's Weight
- Total weight of Amit, Bala, Catherine, and David = 260 kg
- Total weight of all 5 persons = 315 kg
- Weight of Elina = 315 kg - 260 kg = 55 kg
Replacing Amit with Francis
- Francis's weight = Elina's weight + 4 kg = 55 kg + 4 kg = 59 kg
- New total weight after replacing Amit = 260 kg - Amit's weight + Francis's weight
- New total weight = 260 kg - Amit's weight + 59 kg
New Average Weight
- New average weight after replacement = 64 kg
- Total weight for 5 persons = 64 * 5 = 320 kg
Setting Up the Equation
- 320 kg = 260 kg - Amit's weight + 59 kg
- Rearranging gives: 320 kg = 319 kg - Amit's weight
- Therefore, Amit's weight = 319 kg - 320 kg = -1 kg (which is incorrect)
Finding Amit's Weight
- Revisiting the equation:
- 320 kg = 319 kg - Amit's weight
- Amit's weight = 319 kg - 320 kg = 1 kg (not possible)
Instead, we can correct:
- Amit's weight + 1 kg = 59 kg
- Amit's weight = 59 kg - 1 kg = 54 kg
Conclusion
- The weight of Amit is 54 kg, confirming the answer is option 'A'.
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The average weight of 4 persons, Amit, Bala, Catherine and David is 65 kg. The 5th person Elina is included and the average weight decreses by 2 kg. Amit is replaced by Francis. The weight of Francis is 4 kg more than Elina. Average weight decreases because of the replacement of Amit and now the average weight is 64 kg. Find the weight of Amit.a)54 kgb)66 kgc)55 kgd)68 kge)None of theseCorrect answer is option 'A'. Can you explain this answer?
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The average weight of 4 persons, Amit, Bala, Catherine and David is 65 kg. The 5th person Elina is included and the average weight decreses by 2 kg. Amit is replaced by Francis. The weight of Francis is 4 kg more than Elina. Average weight decreases because of the replacement of Amit and now the average weight is 64 kg. Find the weight of Amit.a)54 kgb)66 kgc)55 kgd)68 kge)None of theseCorrect answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The average weight of 4 persons, Amit, Bala, Catherine and David is 65 kg. The 5th person Elina is included and the average weight decreses by 2 kg. Amit is replaced by Francis. The weight of Francis is 4 kg more than Elina. Average weight decreases because of the replacement of Amit and now the average weight is 64 kg. Find the weight of Amit.a)54 kgb)66 kgc)55 kgd)68 kge)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average weight of 4 persons, Amit, Bala, Catherine and David is 65 kg. The 5th person Elina is included and the average weight decreses by 2 kg. Amit is replaced by Francis. The weight of Francis is 4 kg more than Elina. Average weight decreases because of the replacement of Amit and now the average weight is 64 kg. Find the weight of Amit.a)54 kgb)66 kgc)55 kgd)68 kge)None of theseCorrect answer is option 'A'. Can you explain this answer?.
The average weight of 4 persons, Amit, Bala, Catherine and David is 65 kg. The 5th person Elina is included and the average weight decreses by 2 kg. Amit is replaced by Francis. The weight of Francis is 4 kg more than Elina. Average weight decreases because of the replacement of Amit and now the average weight is 64 kg. Find the weight of Amit.a)54 kgb)66 kgc)55 kgd)68 kge)None of theseCorrect answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The average weight of 4 persons, Amit, Bala, Catherine and David is 65 kg. The 5th person Elina is included and the average weight decreses by 2 kg. Amit is replaced by Francis. The weight of Francis is 4 kg more than Elina. Average weight decreases because of the replacement of Amit and now the average weight is 64 kg. Find the weight of Amit.a)54 kgb)66 kgc)55 kgd)68 kge)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average weight of 4 persons, Amit, Bala, Catherine and David is 65 kg. The 5th person Elina is included and the average weight decreses by 2 kg. Amit is replaced by Francis. The weight of Francis is 4 kg more than Elina. Average weight decreases because of the replacement of Amit and now the average weight is 64 kg. Find the weight of Amit.a)54 kgb)66 kgc)55 kgd)68 kge)None of theseCorrect answer is option 'A'. Can you explain this answer?.
Solutions for The average weight of 4 persons, Amit, Bala, Catherine and David is 65 kg. The 5th person Elina is included and the average weight decreses by 2 kg. Amit is replaced by Francis. The weight of Francis is 4 kg more than Elina. Average weight decreases because of the replacement of Amit and now the average weight is 64 kg. Find the weight of Amit.a)54 kgb)66 kgc)55 kgd)68 kge)None of theseCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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Here you can find the meaning of The average weight of 4 persons, Amit, Bala, Catherine and David is 65 kg. The 5th person Elina is included and the average weight decreses by 2 kg. Amit is replaced by Francis. The weight of Francis is 4 kg more than Elina. Average weight decreases because of the replacement of Amit and now the average weight is 64 kg. Find the weight of Amit.a)54 kgb)66 kgc)55 kgd)68 kge)None of theseCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The average weight of 4 persons, Amit, Bala, Catherine and David is 65 kg. The 5th person Elina is included and the average weight decreses by 2 kg. Amit is replaced by Francis. The weight of Francis is 4 kg more than Elina. Average weight decreases because of the replacement of Amit and now the average weight is 64 kg. Find the weight of Amit.a)54 kgb)66 kgc)55 kgd)68 kge)None of theseCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for The average weight of 4 persons, Amit, Bala, Catherine and David is 65 kg. The 5th person Elina is included and the average weight decreses by 2 kg. Amit is replaced by Francis. The weight of Francis is 4 kg more than Elina. Average weight decreases because of the replacement of Amit and now the average weight is 64 kg. Find the weight of Amit.a)54 kgb)66 kgc)55 kgd)68 kge)None of theseCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of The average weight of 4 persons, Amit, Bala, Catherine and David is 65 kg. The 5th person Elina is included and the average weight decreses by 2 kg. Amit is replaced by Francis. The weight of Francis is 4 kg more than Elina. Average weight decreases because of the replacement of Amit and now the average weight is 64 kg. Find the weight of Amit.a)54 kgb)66 kgc)55 kgd)68 kge)None of theseCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The average weight of 4 persons, Amit, Bala, Catherine and David is 65 kg. The 5th person Elina is included and the average weight decreses by 2 kg. Amit is replaced by Francis. The weight of Francis is 4 kg more than Elina. Average weight decreases because of the replacement of Amit and now the average weight is 64 kg. Find the weight of Amit.a)54 kgb)66 kgc)55 kgd)68 kge)None of theseCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Quant tests.
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