Plz solve this riddle!!!!!!!!!!!!!!?

Question

There was a king who told a gold smith to make 1000 coins and put them in 10 bags containing 100coins each. the smith makes the same and comes after some days he gives the bags to the king . Each bag weighs 1000gms (One coin weighs 10gms)except one which weighs only 900gms (One coin weighs 9gms). King doubts the smith and ask him to tell the truth or he will be hanged. The smith agrees that he has cheated but wants the king to find the exact bag which has the lesser weight or he should not be hanged and tells the king "You are allowed to weigh only once, once weighed cannot be weigh again. You must find out the bag which weighs 900gms".

i think most of you have mis understood.
You can weigh only once not once per bag, say you weigh one bag once your turn is over. you can not weigh again luckily if it is the bag with lesser weight the king can hang hi or not.

you can surely remove coins from the bag. It is not a weigh balance machine.
it is a indicating machine.

Answer 1

This is a variation of the "coin problem" or "counterfeit coin problem". I once spent a few days pondering it.

I don't quite understand the rules to this one, though. Do you have a balance scale with two pans? Can you put two bags on, remove one, and replace it with a different bag? Or do you have to replace both bags? Can you open up a bag and remove one coin?

This site looks like it has the solution:
http://www.justriddlesandmore.com/Weighty/weightyproblem.html

Answer 2

Put all the bags on the scale, then take them off one at a time. When the bag of lesser weight is removed, the weight on the scale will decrease by 900 grams, so you've found the bag by weighing once.

Answer 3

As the king who the smith has foolishly cheated I am gonna ask you one more time which bag if you don't tell me I am going to weigh your HEAD once......After it is removed!

If I can only weigh each bag once then weigh them in pairs
against each other, one bag will be light all others will balance.

Answer 4

since all the 9 bags will weigh 1000gms, use a weight balance and put one bag to the left and the other bag to the right.

if both r of same weight then they will be balanced,. now replace both the bags with new bags and repeat till the balance shows that one bag is of less weight.

hope i understood the question correctly, if not please feel free to drop a mail to me.

Answer 5

where volume of the bag is less that weighs 900gms.