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Aptitude - Average - Discussion

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"Nothing in life is to be feared, it is only to be understood."
- Marie Curie
5. 

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 might be the weight of the new person?

[A]. 76 kg[B]. 76.5 kg
[C]. 85 kg[D]. Data inadequate
[E]. None of these

Answer: Option E

Explanation:

Total weight increased = (8 x 2.5) kg = 20 kg.

Weight of new person = (65 + 20) kg = 85 kg.


Mariam said: (Sun, Jul 18, 2010 04:47:37 PM)    
 
65 is the weight of only 1 of the 8 persons.....thn how can u take it as d weight of all d persons????

Anonymous said: (Wed, Oct 27, 2010 09:55:44 AM)    
 
@ Mariam: Let x be the average weight
First case: Sum of weights of people / 8 people = x
So the sum of weights of people = 8x
Second case: Sum of weights of people / 8 people = x + 2.5
So the sum of weights of people here is 8(x + 2.5) = 8x + 20

So the difference between both sums is essentially the new heavier person that was added which is:
8x + 20 - 8x = 20
So the new guy weights 20kg more than the old guy.
So new guy weights: 65 + 20 = 85kg

Riya said: (Mon, Nov 8, 2010 07:49:18 AM)    
 
Thank you. I was confused earlier. Your explanation has cleared it all. :).

Aparna said: (Wed, Dec 29, 2010 04:14:25 AM)    
 
Oral method:.

When the replaced persons weight was 65 kg then no effect takes place.

But due to him all of thems weight has been increased by 2.5kg.

So,

8*2.5=20.

65+20=85.

Vinoth M said: (Thu, Feb 17, 2011 07:23:19 AM)    
 
When a new person weight is added to 8 peoples weight each person weight is increased by 2.5%

Then weight increased is 8*2.5=20
So the new person age is 65+20=85

Aamir said: (Sun, Jul 24, 2011 05:31:50 PM)    
 
A new person's weight is 65 kg and why add early 8 person, where as he is a replaced person.

Tinku said: (Fri, Aug 5, 2011 11:24:23 PM)    
 
@Aamir

It is not weight of the new person. It is weight of which person who is replace from the new person.

Let weight of new person is = x.

Replace person weight=65kg.

Total person=8.

Let total weight 8 person is W.

Before replace of a person.

W/8=a.

Here the a is the average.

Now replace a person which weight is 65kg.

(x+W-65)/8=a+2.5.

Put w=8a from above eqn.

Wet get x=85kg.

Bhanu said: (Fri, Aug 12, 2011 05:38:24 PM)    
 
Hai Friends.

Try this method.

New person weight =Replaced person weight+ (no. Of persons*increased weight).

Replaced person weight =65.

No. Of persons =8.

Increased weight =2.5.

These all values are replaced in the formula, then we get the answer "85".

Isha said: (Sat, Aug 20, 2011 01:32:00 PM)    
 
Thanks bhanu your method is so good.

Kumar said: (Thu, Aug 25, 2011 07:11:54 AM)    
 
Here we are replacing the person of 65kg, then how 2. 5kg will effect to replaced person.

Jagat said: (Sat, Oct 8, 2011 09:32:37 AM)    
 
Thank for this simplication.

Shiya said: (Tue, Nov 15, 2011 12:57:11 PM)    
 
@kumar

Hi kumar in the problem they are saying that it wil be effect 2.5 kg that means may be new person weight will be greater than other remaining 7 persons. In this situation they may be effect rite.

Radhika said: (Wed, Nov 23, 2011 10:05:57 PM)    
 
Average of quantities is 22 and average of 36 quantities is 25. What is the average of all the 50 quantities?

Muthu said: (Thu, Nov 24, 2011 07:18:40 AM)    
 
@Banu nice method.

Chithramol Er said: (Tue, Dec 20, 2011 11:22:57 AM)    
 
New person weight =Replaced person weight+ (no. Of persons*increased weight).

Replaced person weight =65.

No. Of persons =8.

Increased weight =2.5.

These all values are replaced in the formula, then we get the answer as 85

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