# Water And Milk.

Discussion in 'Online Games & Puzzles' started by ksuji, Jul 4, 2020.

1. ### ksujiGold IL'ite

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There are two vessels A and B.

A has one litre of water.

B has one litre of milk.

1 litre is equal to 1000ml.

Now hundred ml of milk is taken out from vessel B and added to the water in vessel A. It becomes a mixture of water and milk.

Now 100 ml of this mixture of water and milk is taken out from the vessel A and added to the milk in vessel B. It becomes a mixture of water and milk .

Now the question is which of the following is more :-

1). the quantity of 'milk' mixed in water, in vessel A.
OR
2). the quantity of 'water' mixed in milk, in vessel B.

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3. ### ksujiGold IL'ite

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BOTH WILL BE EQUAL .

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In my opinion 100 ml milk was added to water. When 100ml water was added to milk, this 100 ml of water is mixed with milk. So the correct answer is (1).

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5. ### MisttIL Hall of Fame

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My answer also1. 100 ml of milk was added to vessel A which had taken from vessel B. So, vessel A contains 1100 ml of water and milk mixture. Again, 100 ml mixture of water and milk was taken from vessel A and addded to vessel B (900ml of milk) . Now, both vessels have 1000ml of mixture but vessel A contains more milk than quantity of water mixed in vessel B.

6. ### ksujiGold IL'ite

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Vessel A contains one litre of water.

Vessel B contains one litre of milk.

1 litre = 1000 ml.

Now take 100 ml of milk from vessel B and add it to the water in vessel A.

Now vessel A will have 1000 ml of water and 100 ml of milk.

The total quantity of the mixture of water and milk in the vessel A is now 1100 ml.

(Now vessel B has only 900 ml of milk.)

This 1100 ml of the mixture of water and milk contains 100 ml of milk.

Hence the ratio

milk : total quantity of the mixture = 100:1100

which is the same as 100 / 1100 = 1/11.

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If you take any quantity , say, 200 ml , 300 ml, 700 ml, …. each quantity will have 1/11 milk.

that is 200×1/11 ml , 300 ×1/11 ml , 700 ×1/11 ml.. respectively.

Hence 100 ml of this mixture will have

100 × 1/11 ml of milk and

100 × 10/11 ml of water.

Hence the milk content of 100 ml of this mixture =

100 × 1 / 11 ml = 100 / 11 ml…….. (Equation 1 )

And the water content of 100 ml of this mixture =

100 × 10/11 ml = 1000 / 11 ml. ( Equation 2 )

Now 100 ml of this mixture from vessel A is transferred to vessel B.

Now both vessel A and vessel B (each) will have 1000 ml of a mixture of water and milk.

Now quantity of water content in 1000 ml of vessel B = 1000 / 11 ml. ( as per equation 2 above ).

Hence ratio of water : total quantity

= 1000 / 11 divided by 1000

= 1000 / 11000

= 1/11

Hence 100 ml of this mixture will contain water = 100 × 1 /11 = 100 / 11 ml

which is the same as the quantity of milk contained in the mixture in vessel A.( vide Equation 1 ).

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7. ### MisttIL Hall of Fame

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@ksuji Thanks for the clarification and you are right . I just thought logically, hadn't applied math equations. radv, Thyagarajan and ksuji like this.

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