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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)76 kg
- b)76.5 kg
- c)85 kg
- d)84 kg
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The average weight of 8 persons increases by 2.5 kg when a new person ...
Let the average of 8 people be x kg.
And, the weight of the new person is y kg.
Sum of 8 person weight = [8 × (x)] = 8x kg.
When the person is replaced
⇒ 8x + y - 65 = 8 × (x + 2.5)
⇒ 8x + y - 65 = 8x + 20
⇒ y = 85 kg.
∴ The weight of the new person is 85 kg.
Most Upvoted Answer
The average weight of 8 persons increases by 2.5 kg when a new person ...
Let the average of 8 people be x kg.
And, the weight of the new person is y kg.
Sum of 8 person weight = [8 × (x)] = 8x kg.
When the person is replaced
⇒ 8x + y - 65 = 8 × (x + 2.5)
⇒ 8x + y - 65 = 8x + 20
⇒ y = 85 kg.
∴ The weight of the new person is 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:
- Average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg.
Let's solve the problem step by step:
Step 1: Finding the total weight of 8 persons initially
- Let the initial total weight of 8 persons be x kg.
- So, the average weight of 8 persons = x/8 kg.
Step 2: Finding the total weight of 8 persons after the new person arrives
- When the new person arrives, the total weight of 8 persons becomes (x + 2.5) kg.
- The total weight of the new group of 9 persons = (x + 2.5 + W) kg, where W is the weight of the new person.
- The average weight of 9 persons = (x + 2.5 + W)/9 kg.
Step 3: Using the given information to find the weight of the new person
- According to the given information, the average weight of 8 persons increases by 2.5 kg when the new person arrives in place of the person weighing 65 kg.
- This means the weight of the new person (W) = 65 + 2.5 = 67.5 kg.
Therefore, the weight of the new person could be 67.5 kg, which is closest to option (c) 85 kg.
- Average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg.
Let's solve the problem step by step:
Step 1: Finding the total weight of 8 persons initially
- Let the initial total weight of 8 persons be x kg.
- So, the average weight of 8 persons = x/8 kg.
Step 2: Finding the total weight of 8 persons after the new person arrives
- When the new person arrives, the total weight of 8 persons becomes (x + 2.5) kg.
- The total weight of the new group of 9 persons = (x + 2.5 + W) kg, where W is the weight of the new person.
- The average weight of 9 persons = (x + 2.5 + W)/9 kg.
Step 3: Using the given information to find the weight of the new person
- According to the given information, the average weight of 8 persons increases by 2.5 kg when the new person arrives in place of the person weighing 65 kg.
- This means the weight of the new person (W) = 65 + 2.5 = 67.5 kg.
Therefore, the weight of the new person could be 67.5 kg, which is closest to option (c) 85 kg.
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