A solution consists of 50 litres of pure milk. 10 litres of milk are replaced with an equal quantity of water. Again, 10 litres of the mixture are substituted with 10 litres of water, and this operation is repeated one more time. Find the quantity of milk in the final solution.
Show answer & explanation
Correct answer: D
Explanation
The Correct answer is option 4 i.e. 25.6 litres
Given that
A solution consists of 50 litres of pure milk.
Now, 10 litres of milk are replaced with an equal quantity of water
In this solution, the ratio of milk and water becomes 40:10, i.e., 4:1, respectively.
Again, 10 litres of the mixture are substituted with 10 litres of water
After taking 10 liter of the mixture, the remaining solution is 40 liters, in which milk and water are in a ratio of 4:1
Now, The milk is 32 liters and the water is 8 liters, to which 10 liter water are also added
then the milk and water quantity will be 32 liter and 18 liters, respectively
Again, 10 litres of the mixture are substituted with 10 litres of water
Formula used
The final quantity of milk = Initial quantity (1 + replaced quantity/Total quantity)
= 32 (1 - 10/50) = 25.6 liters