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The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What is the weight of the new person?
- a)75 Kg
- b)50 Kg
- c)85 Kg
- d)80 Kg
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The average weight of 8 person's increases by 2.5 kg when a new person...
Total weight increased = (8 x 2.5) kg = 20 kg.
Weight of new person = (65 + 20) kg = 85 kg.
Most Upvoted Answer
The average weight of 8 person's increases by 2.5 kg when a new person...
Question Analysis:
We are given that the average weight of 8 persons increases by 2.5 kg when a new person replaces one of them. We need to find the weight of the new person.
Given:
- The average weight of 8 persons increases by 2.5 kg.
- One person weighing 65 kg is replaced by a new person.
- We need to find the weight of the new person.
Approach:
Let's assume the weight of the new person is 'x' kg.
To solve this problem, we can use the concept of averages. The average weight of a group can be calculated by summing up the weights of all the members and then dividing it by the total number of members.
Solution:
Let's calculate the average weight before the new person arrives.
1. Average weight before the new person arrives:
- Let the sum of the weights of the 8 persons be 'S'.
- The average weight before the new person arrives = S/8.
2. Average weight after the new person arrives:
- The sum of the weights of the 8 persons remains the same (as one person is replaced).
- The average weight after the new person arrives = (S + x - 65)/8.
3. Given that the average weight increases by 2.5 kg:
- (S + x - 65)/8 - S/8 = 2.5.
Simplifying the equation:
(S + x - 65 - S)/8 = 2.5
x - 65 = 20
x = 20 + 65
x = 85 kg.
Therefore, the weight of the new person is 85 kg. Hence, the correct answer is option C.
We are given that the average weight of 8 persons increases by 2.5 kg when a new person replaces one of them. We need to find the weight of the new person.
Given:
- The average weight of 8 persons increases by 2.5 kg.
- One person weighing 65 kg is replaced by a new person.
- We need to find the weight of the new person.
Approach:
Let's assume the weight of the new person is 'x' kg.
To solve this problem, we can use the concept of averages. The average weight of a group can be calculated by summing up the weights of all the members and then dividing it by the total number of members.
Solution:
Let's calculate the average weight before the new person arrives.
1. Average weight before the new person arrives:
- Let the sum of the weights of the 8 persons be 'S'.
- The average weight before the new person arrives = S/8.
2. Average weight after the new person arrives:
- The sum of the weights of the 8 persons remains the same (as one person is replaced).
- The average weight after the new person arrives = (S + x - 65)/8.
3. Given that the average weight increases by 2.5 kg:
- (S + x - 65)/8 - S/8 = 2.5.
Simplifying the equation:
(S + x - 65 - S)/8 = 2.5
x - 65 = 20
x = 20 + 65
x = 85 kg.
Therefore, the weight of the new person is 85 kg. Hence, the correct answer is option C.
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The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What is the weight of the new person? a)75 Kgb)50 Kgc)85 Kgd)80 KgCorrect answer is option 'C'. Can you explain this answer?
Question Description
The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What is the weight of the new person? a)75 Kgb)50 Kgc)85 Kgd)80 KgCorrect answer is option 'C'. 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 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What is the weight of the new person? a)75 Kgb)50 Kgc)85 Kgd)80 KgCorrect answer is option 'C'. 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 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What is the weight of the new person? a)75 Kgb)50 Kgc)85 Kgd)80 KgCorrect answer is option 'C'. Can you explain this answer?.
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