On the shelf you have 10 identical bottles of identical
pills (let?s say there?s a hundred pills in each bottle).
However, one of those 10 bottles contains cheap knockoff
pills. The only way to differentiate fake pills from real
pills is the weight - while real pills weigh 1 g each, the
knockoff pills are only 0.9 g. You have one scale that
shows the exact weight (down to the mg) of whatever is
weighed.

How can you tell which bottle contains fake pills with just
1 weighing?

Answer Posted / xyz

put all 10 bottles in weighing machine.then total weight is
10*100*1-0.9*100=990. (note:neglect bottle weight since
bottle is not specified)
Then take any one bottle from weighing machine ,and see
if it shows 890 it is not fake.if it shows 900 then it is
fake.(since weight of fake bottlt is 90gm.)....

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