Bissoy.com
Doctors Medicines MCQs Q&A

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

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 Correct Answer 4

Given that:

In vessel A , milk and water ratio = 3 : 5 ,

In vessel B, milk and water ratio = 1 : 3

In vessel C milk and water ratio = 7 : y

Calculation:

According to question, 

Volume of B is 20 litres

Milk in vessel B = 20 × 1/4  = 5 litres

Water in vessel B = 20 × 3/4  = 15 litres

When this is added to vessel A

⇒ (3y + 5)/(5y + 15) = 1/2 

⇒ 6y + 10 = 5y + 15 

⇒ y = 5 litres

Hence, milk in vessel A = 3y + 5 = 3 × 5 + 5 = 20 litres

Water in vessel A = 5y + 15 = 5 × 5 + 15 = 40 litres

60% of mixture of A = (40 + 20) × 60/100 = 36 litres

Remaining mixture = 24 litres

Milk remaining = 8 litres

Water remaining = 16 litres

After adding the content of vessel C.

⇒(8 + 7)/(16 + y) = 3/4

⇒ 60 = 48 + 3y

⇒ y = 4 

The value of y = 4 

∴ The required answer is 4

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?
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.
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?
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?
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.
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.
44 litres of milk-water mixture of ratio 7 ∶ 4 is mixed with 40 litres of another milk-water mixture of ratio 5 ∶ 3. If 2 litres of water and 7 litres of milk were further added, what is the ratio of milk and water in the final mixture?
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?
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?
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.