Bissoy.com
Doctors Medicines MCQs Q&A

From a container of wine, a thief has stolen 15 litres of wine and replaced it with same quantity of water. He again repeated the same process. Thus, in three attempts the ratio of wine and water became 343 : 169. The initial amount of wine in the container was:

From a container of wine, a thief has stolen 15 litres of wine and replaced it with same quantity of water. He again repeated the same process. Thus, in three attempts the ratio of wine and water became 343 : 169. The initial amount of wine in the container was: Correct Answer 120 litres

wine(left)wine(added) = 343169

 

It means  wine(left)wine(initial amount) = 343512    (since 343 + 169 = 512)

  

Thus,  343x = 512x1 - 15k3

 

 343512 = 783 = 1 - 15k3

 

 1-15k=78=1-18

  

Thus the initial amount of wine was 120 liters.

Related Questions

From a container of wine, a thief has stolen 15 liters of wine and replaced it with same quantity of water.He again repeated the same process. Thus in three attempts the ratio of wine and water became 343:169. The initial amount of wine in the container was:
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?
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.
From a container of milk, 5 litres of milk is replaced with 5 litres of water. This process is repeated again. Thus in two attempts the ratio of milk and water became 81 : 19. The initial amount of milk in the container was
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 container contains ‘a’ litres of milk. A thief stole 30 litres of milk & replaced it with the same quantity of water. He repeated the same process further two times thus milk in the container is (a - 128) litres. Then what is the quantity of water in the final 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?
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 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 certain quantity of milk. Malik sold 20% of the milk from the container and added same quantity of water to it. From this mixture, 40% of the quantity was sold to local dealer. After this Malik again added water to the mixture equivalent to 18% of the quantity, he sold to the local dealer. At the end, he sold 75% of the mixture to the dairy and remaining unsold quantity was 5 liter. What was the initial quantity of milk in the container (approx.)?