A jar contains only 12 liters of milk and the rest is water. A new mixture in which the concentration of milk is 30%, is to be formed by replacing the jar mixture. How many liters of the mixture shall be replaced with pure milk if initially there were 48 liters of water in the mixture?

A jar contains only 12 liters of milk and the rest is water. A new mixture in which the concentration of milk is 30%, is to be formed by replacing the jar mixture. How many liters of the mixture shall be replaced with pure milk if initially there were 48 liters of water in the mixture? Correct Answer 7.5 litres

Milk ∶ water

12 : 48

Ratio = 1 : 4

Initial mixture = 12 + 48 = 60 litres

Using the Alligation method,

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Remaining : Replaced

Initial Mixture = 8 unit

8 units ⇒ 60 liters

1 unit = 7.5 litre

 7.5 liters of mixture of water and milk is replaced with pure milk.

Related Questions

Jar A comprises a mixture of milk and water in the ratio of 3 : 2 respectively. Another mixture of milk and water is added to jar A and the ratio of milk and water in the resultant mixture changes. What was the initial quantity of mixture present in Jar A? I. The ratio of milk and water in the mixture that was added to Jar A was 2 : 1 respectively. II. The ratio of the new quantities of milk and water in Jar A was 8 : 5 respectively. The quantity of water in the mixture added to jar A was 6 litre.