What is the quantity of milk in 80 litres of mixture of milk and water?
I. If 8 litres of mixture is replaced by equal quantity of milk, and water in the maxture becomes `27:13` respectively.
II. If 16 litres of mixture is replaced by equal quantity becomes `4:1` respectively.

Options

A. if the data in statement I alone are sufficient to answer the questin, while the data in statement II alone are not sufficient to answer the question.
B. if the data in statement Ii alone are sufficient to answer the questin, while the data in statemetn I alone are not suffcient to answer the question.
C. id the data in both statements I and II alone are surfficient to answer the question.
D. if the data in both statements I and II together are not sufficient to answer the question.

Answer

C

Explanation

By statement - I
`M:W=27:13`
So, in 80 litres of mixture contain
Quantity of milk `=27/40xx80=54` litres
Water `=13/40xx80=26` litre
By statement - II
If 16 litres of mixture replaced by equal quantity of milk. Then in new mixture.
Quantity of milk `=4/5xx80=64` litres
Quantity of water `=1/5xx80=16` litres
Again by statement -I Before mixing water. Milk is litres and water is 18 litres
Statement -II before mixing milk 48 litres and wter is 16 litres
Ratio of milk to water in mixture. `=3:1`
Quantity of milk `=3/4xx80=60` litres
Concept Ratio of milk to water is always same in the mixture. It doesn't depend on Quantity of mixture drawn.