Bissoy.com
Doctors Medicines MCQs Q&A

A bucket contains a mixture of two liquids A and B in the ratio of 3 : 2. When 5 litres of the mixture is replaced with liquid A, the ratio becomes 4 : 1. The volume of liquid B present in the bucket earlier was:

A bucket contains a mixture of two liquids A and B in the ratio of 3 : 2. When 5 litres of the mixture is replaced with liquid A, the ratio becomes 4 : 1. The volume of liquid B present in the bucket earlier was: Correct Answer 4 litres

Let total quantity of the mixture in the bucket be ‘x’ litres.

⇒ Initial quantity of B contained in the bucket = 2x/5

Final quantity of B = (2x/5) – (5 × 2/5) = (2x/5) − 2

⇒ 1/5 = (2x/5 − 2)/x

⇒ x/5 = 2

⇒ x = 10 Litres

Initial quantity of B contained in the bucket = 2 x 10/5 = 4 Litres

Related Questions

A bucket contains a mixture of two liquids A & B in the proportion 5 : 3. If 16 litres of the mixture is replaced by 16 litres of liquid B, then the ratio of the two liquids becomes 3 : 5. How much of the liquid B was there in the bucket?
A bucket contains a mixture of two liquids A and B in the proportion 7 : 5. If 9 litres of mixture is replaced by 9 liters of liquid B, then the ratio of the two liquids becomes 7 : 9. How much of the liquid A was there in the bucket ?
A bucket contains a mixture of two liquids Aand B in the proportion 7: 5. If 9 litres of themixture is replaced by 9 litres of liquid B, thenthe ratio of the two liquid becomes 7: 9. How much of the liquid A was there in the bucket ?
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 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? 
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?
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?
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 bottle contained a mixture of two liquids A and B in the ratio 11 ∶ 4. When 30 ml of the mixture is replaced with 15 ml of another mixture of the two liquids in ratio 7 ∶ 8, the ratio of the liquids in the final mixture becomes 2 ∶ 1. What is the quantity of final mixture in the bottle?
X and Y contain 35 litres and 50 litres of mixtures of liquids A and B respectively. The total quantity of B in both the mixtures is 30 litres. Quantity of A in mixture X is 15 litres less than the quantity of A in mixture Y. If 20% of the liquid is taken from mixture X and put into mixture Y, then what will be the ratio of A to B in mixture Y?