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Milk and water are mixed in a vessel A as 4:1 and in vessel B as 3:2. For vessel C, if one takes equal quantities from A and B, find the ratio of milk to water in C.

Correct Answer: 7:3

Explanation:

Ratio of Milk and water in a vessel A is 4 : 1


 


Ratio of Milk and water in a vessel B is 3 : 2


 


Ratio of only milk in vessel A = 4 : 5


 


Ratio of only milk in vessel B = 3 : 5


 


Let 'x' be the quantity of milk in vessel C


 


Now as equal quantities are taken out from both vessels A & B


 


=> 4/5     :     3/5
               x 
  3/5-x          x - 4/5


 


=> 3 5 - x x - 4 5  = 1 1  (equal quantities)


 


=> x = 7/10


 


Therefore, quantity of milk in vessel C  = 7


 


=> Water quantity = 10 - 7 = 3


 


Hence the ratio of milk & water in vessel 3 is 7 : 3 


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