A container contains 40 litres of milk. From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?
A. 26.34 litres
B. 27.36 litres
C. 28 litres
D. 29.16 litres
Answer: Option D
Solution(By Examveda Team)
$$\eqalign{ & {\text{Amount}}\,{\text{of}}\,{\text{milk}}\,{\text{left}}\,{\text{after}}\,{\text{3}}\,{\text{operations}} \cr & = \left[ {40{{\left( {1 - \frac{4}{{40}}} \right)}^3}} \right]\,{\text{litres}} \cr & = \left( {40 \times \frac{9}{{10}} \times \frac{9}{{10}} \times \frac{9}{{10}}} \right)\,{\text{litres}} \cr & = 29.16\,{\text{litres}} \cr} $$This Question Belongs to Arithmetic Ability >> Alligation
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Comments ( 1 )
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I got your point but according to the question, the procedure is "take out 4 litres of MILK for the container and replace it with water"
So, second time we repeat the procedure, we'll have to take 4 litres of MILK out, not the milk and water solution. That means we'll have to take (4 + 4/9) litres of the solution i.e. 4litres milk + 4/9 litres water.
This way, the answer will be 28 only.