Question

Two pots contain a mixture of milk and water. In the first pot, ratio between milk and water is 4 : 1 and in second pot, the ratio between the milk and water is 1 : 3. In third pot, this two mixtures are mixed to formed 22 lit mixture of milk and water in which ratio between the milk and water is 7 : 3. Find the difference between the quantity of mixture taken from first pot and second pot.
1. 9 litres
2. 14 litres
3. 18 litres
4. 8 litres

Answer 1

Correct Answer - Option 2 : 14 litres

Calculation:

Quantity of milk present in first pot = 4/5

Quantity of milk present in second pot = 1/4

Quantity of milk present in third pot = 7/10

Using rule of alligation,

Mixture in first pot : Mixture in second pot = (7/10 - 1/4) : (4/5 - 7/10) = 9 : 2

Quantity of mixture taken from first pot = 9/11 × 22 = 18 litres

Quantity of mixture taken from second pot = 2/11 × 22 = 4 litres

∴ Required difference = 18 - 4 = 14 litres.

Use alligation rule and consider milk to whole mixture or water to whole mixture.