Mixtures Alligation

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?

  1. 8 : 3
  2. 4 : 3
  3. 2 : 3
  4. 7 : 5

Answer

Milk in Vessel A = 4/7 (Dearer Value)

Milk in Vessel B = 2/5 (Cheaper Value)

Milk in Vessel C = 1/2 (Mean Value)

Dearer : Cheaper = 1/2 - 2/5 : 4/7 - 1/2 = 1/10 : 1/14

Required ratio is 14 : 10 = 7 : 5

The correct option is D.