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Q.

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? 

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a

76Kg

b

76.5Kg 

c

Data inadequate 

d

85Kg

answer is C.

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Detailed Solution

Given that 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

The old average weight of 8 persons is x, so that the total weight is 8x

They removed one person of weight 65kg, hence the total weight is 8x-65

A new person entered whoose weight y, then the average weight is 8x-65+y8=x+2.5

cross multiply 

8x-65+y=8x+20y=65+20 =85

Therefore, the weight of new person is 85 Kg

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