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?

• 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.
• 11 years agoHelpfull: Yes(5) No(0)
• let weight of 1 melon be W
  let length of one side be L1 and other be L2
  
  1 kilogram on left balances 8 melons on right
  
  torque on both sides must be equal
  
  L1 = L2 * 8W
  
  or,
  
  L1/L2 = 8W -----------------------------(i)
  
  1 kilogram on right balances 2 melons on left
  
  so,
  
  L1 * 2W = L2
  
  L1/L2 = 1/2W ----------------(ii)
  
  equating (i) and (ii)
  
  1/2W = 8W
  
  W square = 1/16
  
  W = 1/4 kg
• 13 years agoHelpfull: Yes(4) No(2)
• 1/2 kg.
  left and right are in the ratio of 4:1
  
• 13 years agoHelpfull: Yes(1) No(3)