Mr. T has a wrong weighing pan.One arm is lengthier than other.1 kilogram on left balances 8 melons on right.1 kilogram on right balances 2 melons on left.If all melons are equal in weight,what is the weight of a single melon?

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arp001

  • May 28th, 2006
 

as per the formula oneside wieghs double than the other so the weight of a melon is 250 gm.

One can also assume that by adding some extra weight on one side, balance can be done so this weight is 600 gm and then each melon weighs 200 gm.

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gaurav4067

  • Dec 6th, 2010
 

Answer-Each mellon is 200gm and the left pan is 600gm more weight than right
pan.


Let the left pan has x kg more weight than right and the melon is m kg each.
from the first case :1kg+more weight in left pan=weight of 8 melon in the right
pan
1.1+x=8m
From the second case :weight of 2 melon+more weight of left pan=1 kg
2.2m+x=1
Solving eqn 1 and 2
m=1/5kg or 200gm
x=3/5kg or 600 gm.
so the weight of each melon is 200 gm.


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Madhu Sudan

  • Feb 8th, 2015
 

1+x = 8 m
1-x = 2m
2 = 10 m
m = .2

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Vivek

  • Jun 20th, 2016
 

Each mellon is of 250 Gms and Right Arm is twice longer than Left Arm

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