A vessel contains 60 litre of milk. 12 litres of milk taken out from it and replaced with water. Then again from mixture, 12 litres is taken out and replaced with water. The ratio of milk and water in the resultant mixture is ?
A. 16 : 9
B. 15 : 10
C. 16 : 10
D. 9 : 5
Answer: Option A
Solution(By Examveda Team)
Total milk = 60 litresDrawn off = 12 litres
$$\frac{{{\text{Final quantity}}}}{{{\text{Initial quantity}}}}$$ $$ = {\left( {1 - \frac{x}{c}} \right)^t}$$
X = Replaced quantity
C = Capacity
T = Number of process
$$\eqalign{ & \frac{{{\text{Final quantity}}}}{{{\text{Initial quantity}}}} = {\left( {1 - \frac{{12}}{{60}}} \right)^2} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\left( {\frac{4}{5}} \right)^2} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{{16}}{{25}} \cr} $$
Ratio of milk and water in the resultant mixture :
= 16 : 9
This Question Belongs to Arithmetic Ability >> Alligation
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Related Questions on Alligation
A. $$\frac{{1}}{{2}}$$ kg
B. $$\frac{{1}}{{8}}$$ kg
C. $$\frac{{3}}{{14}}$$ kg
D. $$\frac{{7}}{{9}}$$ kg
A. 81 litres
B. 71 litres
C. 56 litres
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After taking 12L milk, the portion =48/60=4/5
Volume of milk in the final stage=(4/5)^2=16/25
Volume of water in the final stage=9/25
Now, milk:water=16/25:9/25
=16:9
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