Q:
      
      
         
            
The milk and water in two vessels A and B are in the ratio 4:3 and 2:3 respectively. In what ratio the liquids in both the vessels be mixed to obtain a new mixture in vessel c consisting half milk and half water?
         
       
      
      
      
          
      
      
          Answer & Explanation
         Answer: C) 7:5         
         
Explanation: Milk in 1-litre mixture of A = 4/7 litre. 
Milk in 1-litre mixture of B = 2/5 litre. 
Milk in 1-litre mixture of C = 1/2 litre.
 
By rule of alligation we have required ratio X:Y   
   X                  :                 Y  
  4/7                                2/5  
           \                      /
              (Mean ratio)
                   (1/2) 
           /                      \
 (1/2 – 2/5)     :       (4/7 – 1/2)  
    1/10                      1/1 4 
 
So Required ratio = X : Y = 1/10 : 1/14 = 7:5
       
      
      
      
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