Question 118

A bottle contains 50 liters of milk. From this bottle 5 liters of milk was taken out and replaced the water. This process was repeated further for three times. How much milk is now contained in the bottle ?

Solution

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Final volume of Milk = Initial volume of milk$$\left(1-\frac{y}{x}\right)^n$$ 

where y=quantity of milk removed in each iteration , x= total quantity of the mixture and n=number of times the process being repeated 

Final volume of milk = $$50\cdot\left(1-\frac{5}{50}\right)^4$$

= 32.805

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