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.

Step 1: Understand the ratios

Vessel A ratio = 4:1 (Milk:Water) ⇒ Milk = 4/5, Water = 1/5
Vessel B ratio = 3:2 (Milk:Water) ⇒ Milk = 3/5, Water = 2/5

Step 2: Take equal quantities from A and B

Assume 1 litre from A and 1 litre from B

From A (1 litre): Milk = 4/5 litre, Water = 1/5 litre
From B (1 litre): Milk = 3/5 litre, Water = 2/5 litre

Step 3: Total in vessel C

Total milk = 4/5 + 3/5 = 7/5 litres
Total water = 1/5 + 2/5 = 3/5 litres

Step 4: Find the ratio of milk to water

Milk : Water = (7/5) : (3/5) = 7 : 3

Answer: 7 : 3