Bissoy.com
Doctors Medicines MCQs Q&A

A container ‘A’ contains a mixture of two solutions P and Q in the ratio of 3 : 5. If 24 litres of mixture is taken out and replaced with same quantity of solution Q, then final ratio of two solution in the container ‘A’ is 1 : 3. What is the quantity of solution container hold ?

A container ‘A’ contains a mixture of two solutions P and Q in the ratio of 3 : 5. If 24 litres of mixture is taken out and replaced with same quantity of solution Q, then final ratio of two solution in the container ‘A’ is 1 : 3. What is the quantity of solution container hold ? Correct Answer 72 litres

Given:

A container ‘A’ contains a mixture of two solutions P and Q in the ratio of 3 : 5.

Concept Used:

The resultant mixture = Initial solution - taken out solution + added solution (if given)

Calculation:

A container ‘A’ contains a mixture of two solutions P and Q in the ratio of 3 : 5.

Let the total quantity of mixture in container ‘A’ be 8x.

According to the question:

24 litres of mixture is taken out

The quantity of solution P is taken out = (3/8) × 24 = 9

The quantity of solution Q is taken out = (5/8) × 24 = 15

The final ratio of two solution in the container ‘A’ is 1 : 3.

⇒ (3x - 9)/(5x - 15 + 24) = 1/3

⇒ (3x - 9)/(5x + 9) = 1/3

⇒ 9x - 27 = 5x + 9

⇒ 4x = 36

⇒ x = 9

The quantity of of mixture in container ‘A’ = 8 × 9 = 72

∴ The quantity of of mixture in container ‘A’ is 72 litres.

Related Questions

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.
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?
A bottle contains 20 litres of liquid A. 4 litres of liquid A is taken out of it and replaced by same quantity of liquid B. Again 4 litres of the mixture is taken out and replaced by same quantity of liquid B. What is the ratio of quantity of liquid A to that of liquid B in the final mixture? 
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.
Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and knowledge of Mathematics to choose between the possible answers. There are two jars which contain different liquids in different quantities Quantity I∶ Quantity of water in Jar 1, if Jar 1 contains mixture of 230 litres which contain juice, water, coke and pepsi. Ratio of quantity of water to juice is 2 : 1 and juice to coke is also 2 ∶ 1 while the ratio of quantity of coke to pepsi is 3 ∶ 2 Quantity II∶ Quantity of water in Jar 2, if Jar 2 contains 10 litres of mixture more than jar 1 and contains juice, coke and water. Water, juice and coke is poured into the jar 8 times in the ratio 3 ∶ 2 ∶ 1. Every time the quantity of a liquid is same.
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)
oil and kerosene are present in ratio of 5 : 7 in a liquid. Few litres of mixture of mixture are replaced with petrol. Ratio of oil : kerosene: petrol is 35 : 49 : 18 respectively. Amount of oil removed from mixture is 21 litres less than that of petrol added to the mixture. And amount of oil removed is 6 litres less than that of difference mentioned. Petrol is replacing the mixture removed hence; quantity of mixture is not changing. What is the difference between quantity of kerosene in old mixture and amount of oil in new mixture?
A container contains 40 litres of milk. From this container, 4 litres of milk was taken out and replaced by water. This process was repeated further three times. Then, to make the mixture 50 litres, milk vendor added 10 litres of milk and water in 3 ∶ 2. What percent of milk is in excess in the container over the ratio of milk to water 3 ∶ 2?
In a mixture of ghee and dalda, the ratio of ghee to dalda is 5 : a. When 5 litres of ghee were added in the mixture then, the concentration of dalda becomes 50% but when 2 litres of dalda were added in the mixture then the concentration of ghee becomes 40%.  Quantity I : ghee will be what part of the mixture when, 10 litres of ghee were added in the original mixture? Quantity II : Dalda will be what part of the mixture when 3 litres of dalda were added in the original mixture?
A container contains 80 litres of milk. From this container, 8 litres of milk is taken out and replaced by water. 8 litres of this mixture is now taken out and again replaced with water. This process is repeated once more. How much milk content in the Mixture now?