Latest Infosys Aptitude Question SOLUTION: 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

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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?

Asked In Infosys Aditi Sharma (12 years ago)

Unsolved Read Solution (3)

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pinki sharma  (10 years ago)

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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srujan  (12 years ago)

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

Is this solution Helpfull? Yes (4) | No (2)  

GUNDA NAGESH  (12 years ago)

1/2 kg.
left and right are in the ratio of 4:1

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