Bissoy.com
Doctors Medicines MCQs Q&A

Two vessels contain a mixture of milk and water. In the 1st vessel, the ratio of milk and water is 8 ∶ 3 and in the 2nd vessel, this ratio is 5 ∶ 1. A big vessel of capacity 35 L is filled with these vessels so as to contain the mixture of milk and water in the ratio 4 ∶ 1. How many litres are taken from the 1st vessel?

Two vessels contain a mixture of milk and water. In the 1st vessel, the ratio of milk and water is 8 ∶ 3 and in the 2nd vessel, this ratio is 5 ∶ 1. A big vessel of capacity 35 L is filled with these vessels so as to contain the mixture of milk and water in the ratio 4 ∶ 1. How many litres are taken from the 1st vessel? Correct Answer <p>11 L</p>

GIVEN :

In the 1st vessel, the ratio of milk and water is 8 ∶ 3 and in the 2nd vessel, this ratio is 5 ∶ 1

A big vessel of capacity 35 L is filled.

 

ASSUMPTION :

Suppose ‘x’ litres from the 1st vessel is taken and (35 – x) litres from the 2nd vessel is taken.

 

CALCULATION ;

⇒ x × 8/11 + (35 – x) × 5/6 = 35 × 4/5

⇒ 8x/11 + 175/6 – 5x/6 = 28

⇒ 7x/66 = 7/6

⇒ x = 11

∴ 11 litres are taken from the 1st vessel. 

Related Questions

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?
Two vessels contain a mixture of milk and water. In the first vessel, the ratio of milk and water is 5 : 2 and in the second vessel, the ratio is 8 : 5. A 54 L vessel is filled from these vessels so as to contain a mixture of milk and water in the ratio of 9 : 4. How many litres are taken from the first vessel?
Given below are quantities named A,B and C. Based on the given information, you have to determine the relation between the quantities. You should use the given data and your knowledge of mathematics to choose among the possible answer. A milkman has 132 litres mixture of milk and water in a container which contains milk and water in the ratio 7 : 5. The milk man sold 48 litres of the mixture and added 6 litres of pure milk and 20 litres of water to the remaining mixture. The milkman again sold 42 litres of the mixture. Quantity A: Find the quantity of milk left in the container. Quantity B: Find the quantity of water left in the container. Quantity C: 35 litres.
Two vessels A and B contain a mixture of acid and Water. In vessel A the ratio of acid and water is 2 ∶ 1 and in vessel B the ratio is 5 ∶ 1.Mixture from these two vessels are filled in another 42 litre vessel to contain a mixture of acid and water in the ratio of 5 ∶ 2. How much mixture is taken from vessel A?
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?
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.
In a large catering order apple mojito is prepared in two different vessels. Vessel 1 consists of 39 litres of apple pulp in 52 litres mixture and in second vessel water is 15 litres and mixture is 40 litres. These mixtures are mixed in a new vessel and final mixture consist water as 30% of mixture. In what ratio were the two mixtures mixed?
In a mixture, there is 63 litres of water and 77 litres of milk. Some quantity of mixture is taken out. After that 16 litres of water and 4 litres of milk are added in to the mixture, so that quantity of water and milk are same in the mixture. Find the total quantity of mixture when some amount of mixture taken out.
There are three vessels A, B and C having milk to water ratio as 3 : 5, 1 : 3 and 7 : y.  After adding mixture of vessel B to A, the milk to water ratio becomes 1 : 2 in A. Now 60% of mixture is taken out from vessel A and mixture of vessel C is mixed with remaining mixture of vessel A which results in a final milk to water ratio of 3 : 4. Find the value of y given that volume of B is 20 litres and volume of C is (7 + y) lires
A vessel contains a mixture of Grape, Pineapple and Banana juices in the respectively ratio of 4 : 6 : 5. 15 litres of this mixture is taken out and 8 litres of grape juice and 2 litres of pineapple juice is added to the vessel. If the resultant quantity of grape juice is 10 litres less than the resultant quantity of pineapple juice, what was the initial quantity of mixture in the vessel ? ( in litres)