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Two-fifths of the volume of the mixture of the milk and water is of the ratio of 4 : 3 is converted into a mixture of the ratio of 5 : 3 by the method of replacement with milk. The 4 : 3 mixture was prepared from a 4 : 1 mixture by the method of 'addition of the substances of the mixture'. If the replacement volume is 14 L, what is the volume of the substance added?

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Important Questions on Arithmetic

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Rakesh has a stock of 1000 L of pure milk. He decides to decrease the concentration to half, using the method of successive dilution, replacing 200 L of contents by water, in each step of dilution. After the fourth dilution, he realizes that the concentration is less than the required value. Each of the contents removed during the dilution process is stored separately. He also has ample supply of water. Will he be able to make the mixture of desired concentration?
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An industrial solvent of 90% strength is prepared and stored in a 150 L capacity container. The container is filled to 80% of its capacity. It is required to decrease the concentration of the solvent in the container to less than 60%. For doing this, either pure water can be added to it and/or solution can be removed. But removal can only be done if there is no place for adding water. At a given time, only 10 L of the solution can be added or removed. How many times should water be added to the solution?
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Four gallons are drawn from a case full of wine. It is then filled with water. Four gallons of mixture are again drawn and the cask is re-filled with water. The ratio of the quantity of wine now left in the cask to that of the mixture in it is 36 : 49. How much does the cask hold?
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There is a vessel holding 40 L of milk. Four litres of milk is initially taken out from the vessel and 4 L of water is then poured in. After this, 5 L of mixture is replaced with 5 L of water. And finally 6 L of the mixture is replaced with 6 L of water. How much milk (in litres) is there in the vessel?
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There is a vessel holding 40 L of milk. Four litres of milk is initially taken out from the vessel and 5 L of water is poured in. After this, 5 L of the mixture from this vessel is replaced with 6 L of water. And finally 6 L of mixture from this vessel is replaced with 7 L of water. How much of the milk (in litres) is there in the vessel now?
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There is a vessel holding 40 L of milk. Four litres of milk initially is taken out from the vessel and 5 L of water is poured in. After this, 6 L of mixture from this vessel is replaced with 7 L of water. And finally 8 L of mixture from this vessel is replaced with 9 L of water. How much of the milk (in litres) is there in the vessel now?
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In the above question, which of the vessels is having the mixture of minimum concentration of milk?
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In question number 44 , if we arrange the concentration of milk in different vessels in ascending order, then which of the following is true?