A mixture A (20 liters) and B (40 liters) with water: milk ratio 1 : 1 and 2 : 3 respectively. If A and B are mixed, find the new water to milk ratio.

A 17 : 13

B 13 : 17

C 13 : 15

D 15 : 13

E none of these

Correct Answer: Option B

Amount of Water in A = (1/2) × 20 =10 litre

Amount of Milk in A = (1/2) × 20 =10 litre

Amount of Water in B = (2/5) × 40 =16 litre

Amount of Milk in B = (3/5) × 40 = 24 litre

In (A + B), Water = 10 + 16= 26 litre

Milk = 10 + 24 = 34 litre

Ratio of water to milk = 26 : 34

⇒ Ratio of water to milk =13 : 17