A vessel has 30 litres of mixture water and milk. The second vessel has 20 litres of mixed milk and water are in ratio 3 : 2 respectively. How much milk present in the first vessel if the water present in the first vessel is 50% more than the milk present in the second vessel?

A vessel has 30 litres of mixture water and milk. The second vessel has 20 litres of mixed milk and water are in ratio 3 : 2 respectively. How much milk present in the first vessel if the water present in the first vessel is 50% more than the milk present in the second vessel? Correct Answer 12 

Given:

The first vessel has 30 litres of mixture

The second vessel has 20 litres of mixture

Concept:

Mixtures and alligations

Calculation:

⇒ Second vessel have milk = (3/5) × 20 = 12 liters

⇒ Water present in first vessel = (3/2) × 12 = 18 liters

⇒ Milk present in first vessel = 30 - 18 = 12 liters

∴ The required result will be 12 litres.

Related Questions

Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. What is the ratio of coconut oil and milk in the final beaker? If contents from four vessels poured in it. I. Vessel B has 10 ml more capacity than vessel A and the ratio of coconut oil and milk in vessel B is 2 ∶ 7. Vessel C has coconut oil and milk in the ratio 2 ∶ 3 and contains 38 ml more capacity than Vessel D II. Vessel A has milk and coconut oil in the ratio 3 ∶ 5. Vessel C has 12 ml more coconut oil than vessel D.
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.