The question given below consists of a statement and/or a question and two statements numbered l and ll given below it. You have to decide whether the data provided in the statement(s) is sufficient to answer the question. What is the quantity of the milk in 120 litres of a mixture of milk and water? l. If 12 litres of water is added to the mixture, then the ratio of the quantity of milk to that of the water would be 8 : 3 ll. 20 litres of the solution is taken out and replaced with pure milk, then the ratio of the quantity of milk to that of water in the solution would be 5 : 1.

The question given below consists of a statement and/or a question and two statements numbered l and ll given below it. You have to decide whether the data provided in the statement(s) is sufficient to answer the question. What is the quantity of the milk in 120 litres of a mixture of milk and water? l. If 12 litres of water is added to the mixture, then the ratio of the quantity of milk to that of the water would be 8 : 3 ll. 20 litres of the solution is taken out and replaced with pure milk, then the ratio of the quantity of milk to that of water in the solution would be 5 : 1. Correct Answer <p>If the data in statement l alone or statement ll alone is sufficient to answer the question.</p>

Solution:

Let x be the quantity of milk in the initial solution.

Statement 1:

⇒ x : {(120 – x ) + 12} = 8 : 3

⇒ 11x = 1,056

Using statement 1 we can find the quantity of the milk in the solution.

Statement 2:

The quantity of the milk in the solution after 20 litres was taken out

⇒ (x/120) (100) = 5x/6

The quantity of water in the solution after 20 litres was taken out = 100 – (5x/6)

Given that, (5x/6 +20)/(100 – 5x/6) = 5/1

⇒ 5x = 480

Using statement 2 alone is sufficient to answer the question.

∴ Each statement alone is sufficient to answer the question.