Question:Three bottles are filled with a mixture of milk and water in the ratio `4 : 3, 5 : 4` and `7 : 6` respectively. If the contents of three bottles are poured into a single vesse, then the ratio of milk to water in the new vessel is : 

A `(4/3 + 5/4 + 7/6 : 3/4 + 4/5 + 6/7)` 
B `(4/7 + 5/9 + 7/(13) : 3/7 + 4/9 +  6/(13))` 
C `(4/3 + 5/4 + 7/6 : 1 + 1 +1)` 
D `(1 + 1 + 1 : 3/4 + 4/5 + 6/7)` 

+ Answer
B 

+ Explanation
In new vessel, we have :

Milk `= (4/7 + 5/9 + 7/(13))`

Water `=(3/7 + 4/9 + 6/(13))`

`:.` Milk : Water `= (4/7 + 5/9 + 7/(13)) : (3/7 + 4/9 + 6/(13))`.

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Md. Habib Ullah

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