Bissoy.com
Doctors Medicines MCQs Q&A

A container contains 50 litre of alcohol, from this container 5 litres of alcohol was taken and replace with water. How much alcohol is there in the container if this process is repeated for four times?

A container contains 50 litre of alcohol, from this container 5 litres of alcohol was taken and replace with water. How much alcohol is there in the container if this process is repeated for four times? Correct Answer 32.805 lit

Let container contains a unit of pure liquid from which b units are taken out and replaced with water.

For n operations,

⇒ Quantity of pure liquid remains = a{1 – (b/a)}N

Given,

⇒ a = 50 litre

⇒ b = 5 litre

⇒ N = 4

⇒ Quality of alcohol remains after replacement = 50 × {1 – (5/50)}4 = 32.805

∴ Quantity of pure alcohol remaining in the container is 32.805 litre

Related Questions

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?
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.
There are two containers contain a mixture of wine, water and alcohol. The first container contains wine, water and alcohol in the ratio of 4 : 3 : 3. The second container contain wine, water and alcohol in the ratio of 1 : 2 : 1. If 1 litre from first and 4 litres from second are mixed into the third container. What fraction of alcohol in third container?
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?
There are two containers, the first one contains 1 litre pure water and the second one contains 1 litre pure milk.Now 5 cups of water from the first container is taken out is mixed well in the second container. Then, 5 cups of this mixture is taken out and is mixed in the first container. Let A denote the proportion of milk in the first container and B denote the proportion of water in the second container then:
Given below are three quantities named A, B and C. Based on the given information, determine the relation among the three quantities. Quantity A∶  A 30 litre mixture of wine and water has wine and water in the ratio 5∶ 7. How much water must be drawn off so that the ratio of wine and water becomes 25∶ 19? Quantity B∶ A 35 litre mixture of wine and water has wine and water in the ratio 1∶ 3. How much water must be drawn off so that the ratio of wine and water becomes 1.75∶ 3.35? Quantity C∶ A 27 litre mixture of wine and water has wine and water in the ratio 3∶ 2. How much water must be drawn off so that the ratio of wine and water becomes 81∶ 11?
Two mixtures of alcohol and water are prepared by mixing 10 litres of alcohol with 6 litres of water and 8 litres of alcohol with 2 litres of water. In what ratio the respective mixtures are mixed such that the final mixture contains alcohol and water in the ratio 20 ∶ 9?
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?
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 two times. How much milk is now contained by the container.
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 two times. How much milk is now contained by the container?