There are 1000 liters of milk in a pot.100 liters of milk is taken out and the same amount of water is poured into it. Again 200 liters of mixture is taken out and the same amount of water is poured into it and finally 400 liters of mixture is taken out and the same amount of water is poured into it then what is the amount of milk in the resulting mixture.

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Detailed Solution

Concept:
Initially there is 1000 liters of milk, if you remove 100 liters of milk and add 100 liters of water, the milk to water ratio will be

, remove 200 liters from this solution and add 200 liters of water increase. .. First, you need to use the ratio to calculate the amount of milk and water in the removed solution and subtract it from the total amount of milk and water in the previous step. You need to repeat this again for the next operation, and you can calculate the amount of milk and water in the final ratio.
Step 1: There are 3 processes for the above problem
Step 2: Remove 100 liters of milk and add 100 liters of water
Step 3: Process 2: Take 200 L of solution (milk and water) and add 200 L of water
Step 4: Removal of 400 L of solution (milk and water) and addition of 400 L of water
Step 5: Before each process, there is 1000 liters of milk in the pot
In process 1, 100 liters of milk was removed and 100 liters of water was added.
Therefore, this solution contains 900 liters of milk and 100 liters of water.
This is the ratio of milk to water

Step 6: The second operation removes 200 liters of solution and adds

liters of water.
Therefore, for every 200 liters of solution removed, there are 9 parts of milk and 1 part of water.
Milk removed

Water removed

After process 1 had

of milk and

of water.
And now, amount of milk

amount of water

l
So now the ratio of milk to water is given by

In the third process

of solution is removed and

water is added.
So, out of

of the solution that is to be removed 18 parts will be milk and 7 parts will be water.
Milk removed