Bissoy.com
Doctors Medicines MCQs Q&A

There are two vessels containing milk and water in the ratio 3 ∶ 2 and 5 ∶ 4, in what ratio must the contents of these vessels be mixed such that the resultant vessels contains milk and water in the ratio 7 ∶ 5?

There are two vessels containing milk and water in the ratio 3 ∶ 2 and 5 ∶ 4, in what ratio must the contents of these vessels be mixed such that the resultant vessels contains milk and water in the ratio 7 ∶ 5? Correct Answer 5 : 3

Given:

Two vessels contain milk and water in the ratio 3 ∶ 2 and 5 ∶ 4.

Concept:

Basic mixture concept.

Calculation:

Fraction of milk in 1st mixture = 3/5

Fraction of milk in 2nd mixture = 5/9

Using allegation method:

Hence,

Required ratio = (21 – 20)/36 ∶ (36 – 35)/60

⇒ 1/36 ∶ 1/60

⇒ 5 ∶ 3

∴ The required ratio is 5 ∶ 3.

Related Questions

First vessel contains mixture of milk and water in ratio of 1 ∶ 3. Second vessel contains mixture of milk and water in ratio of 4 ∶ 5. When this mixtures are mixed then ratio of milk and water in resultant mixture is 11 ∶ 19. Find the quantity of mixture mixed from First vessel if resultant mixture is of 60 litres.
Two vessels contain milk and water in the ratio of 2 ∶ 3 and 9 ∶ 7. Find the ratio in which the contents of the two vessels have to be mixed so that the ratio of milk and water in the new mixture is equal.
There are two vessels- A and B containing milk and water in the ratio 8 : 7 and 4 : 5 respectively. In what ratio should they be mixed so that the ratio of milk and water in the resultant solution is 1 : 1?
A vessel contains milk and water in the ratio 3 : 2. The volume of the contents is increased by 50% by adding water to it. From this resultant solution 30 L is withdrawn and then replaced with water. The resultant ratio of milk water in the final solution is 3 : 7. Find the original volume of the solution.
There are two vessels A and B. Vessel A is containing 60L of Pure milk and vessel B is containing 28L of pure water. From vessel A, 8L of milk is taken out and poured into vessel B. Then, 6L of mixture (milk and water) is taken out from vessel B and poured into vessel A. What is the ratio of the quantity milk in vessel A to the quantity of pure water in vessel B?
Two vessels contain milk and water in the ratio 8 : 7 and 11 : 13 respectively. In what ratio, these vessels are to be mixed to obtain a new mixture containing milk and water in the ratio 1 : 1?
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.
The ratio of milk to water in jar I is 3 ∶ 4. The jar II also contains mixture of milk and water. When this two mixtures and mixed in ratio of 2 ∶ 1, then ratio of milk and water in resultant mixture is 3 ∶ 5. Find the ratio of water and mixture in jar II.
A milk seller bought certain quantity of pure milk. He first sold 20 litres of pure milk. He added 20 litres of water to the remaining quantity of milk. He then sold 20 litres of the milk water mixture and added 20 litres of water to the mixture. He again sold 20 litres of this milk water mixture and added 20 litres of water to the mixture. Now, the ratio of milk to water is 8 : 19. How much quantity of pure milk in litres did he buy in the first place?
Four vessels of equal size are filled with mixtures of milk and water. The strength of milk in the four vessels are 80%, 75%, 60% and 50% respectively. If all four mixtures are mixed together then what is the ratio of milk to water in the resultant mixture?