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In a 30 liters solution of sulfuric acid, the ratio of acid to water is 1:4. Water is added to dilute the solution and make the ratio of acid to water as 1:5 . If (13)rd  of this diluted solution is taken, then how many liters of acid is to be added to make the ratio of acid to water as 1:4 again?

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Important Questions on Averages

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Mathematics>Arithmetic>Averages>Mixtures and Alligations
A vessel contains a 32 litres solution of acid and water in which the ratio of acid and water is 5:3 if 12 litres of the solution are taken out and 712 litres of water and added to it, then what is the ratio of acid and water in the resulting solution?
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Mathematics>Arithmetic>Averages>Mixtures and Alligations
How much quantity (in kg.) of wheat costing Rs.84 per kg. must be mixed with 81 kg. of wheat costing Rs.60 per kg. so that on selling the mixture at Rs.75.9 per kg, there is a gain of 15%?
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Mathematics>Arithmetic>Averages>Mixtures and Alligations
25 litres of a mixtures contains 30% of spirit and rest water. If 5 litres of water be mixed in it, the percentage of spirit in the new mixture is:
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Mathematics>Arithmetic>Averages>Mixtures and Alligations
The ratio (by volume) of milk and water in a mixture is 2:1. If we add 12 litres of water in the mixture, then the ratio of milk and water becomes 4:3. What is the quantity of water in the new mixture?
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Mathematics>Arithmetic>Averages>Mixtures and Alligations
In what ratio a man must mix pulses at ₹11.10 per kg with ₹15.20 per kg so as to make a mixture worth ₹13.20 per kg?
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Mathematics>Arithmetic>Averages>Mixtures and Alligations
In what ratio, sugar costing Rs.60 per kg be mixed with sugar costing Rs.42 per kg such that by selling the mixture at Rs.56 per kg there is a gain of 12%?
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Mathematics>Arithmetic>Averages>Mixtures and Alligations
Two bottles of the same capacity are 35% and 3313% full of orange juice, respectively. They are filled up completely with apple juice and the contents of both the bottles are emptied into another vessel. The percentage of apple juice in the mixture is:
MEDIUM
Mathematics>Arithmetic>Averages>Mixtures and Alligations
Fifty litres of a mixture of milk and water contains 30 percent of water. This mixture is added to eighty litres of another mixture of milk and water that contains 20 percent of water. Then, how many litres of water should be added th the resulting mixture to obtain a final mixture that contains 25 percent of water?
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Mathematics>Arithmetic>Averages>Mixtures and Alligations
Two varieties of sugar are mixed together in a certain ratio. The cost of the mixture per Kg is ₹0.50 less than that of the superior and ₹0.75 more than the inferior variety. The ratio in which the superior and inferior varieties of sugar have been mixed is:
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Mathematics>Arithmetic>Averages>Mixtures and Alligations

A 50 litre mixture of water and alcohol contains 10% alcohol. How much more alcohol must be added to make the strength of alcohol 40% in the new mixture?

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Mathematics>Arithmetic>Averages>Mixtures and Alligations
In a mixture of 60 litres, the ratio (by volume) of milk and water is 2 : 1. If X litres of water is added to the mixture, the ratio of milk and water becomes 1 : 2, then what is the value of X?
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Mathematics>Arithmetic>Averages>Mixtures and Alligations
A can contain a mixture of two liquids A and B in the ratio 7: 5. When 9 L of mixture is drain off and the can is filled with B, the ratio of A and B becomes 7: 9. How many litres of liquid A was contained by the can initially?
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Mathematics>Arithmetic>Averages>Mixtures and Alligations
In 729 l solutions of acid and water, The ratio of acid and water is 7:2.How many litres of water must be added to it to get the solution in which the ratio of acid and water is 5:3?
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Mathematics>Arithmetic>Averages>Mixtures and Alligations
A vessel contains a solution of two liquids A and B in the ratio 5:3. When 10 liters of the solution is taken out and replaced by the same quantity of B, the ratio of A and B in the vessel becomes 10:11.The quantity (in litres) of the solution, in the vessel, was ______.
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Mathematics>Arithmetic>Averages>Mixtures and Alligations
A grocer mixes coffee powder of two types, one of which is priced at ₹60 and the other at ₹90. What should be the ratio of combining the two, to sell the blended mix of coffee powder of the two types at ₹80?
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Mathematics>Arithmetic>Averages>Mixtures and Alligations
A solution contains acid and water in the ratio of 4:5. If 20% of the solution is replaced by water, then what will be the ratio of acid and water in the new solution?
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Mathematics>Arithmetic>Averages>Mixtures and Alligations
Alloy A contains metals x and y in the ratio 5 ∶ 2 and alloy B contains these metals in the ratio 3 ∶ 4. Alloy C is prepared by mixing A and B in the ratio 4 ∶ 5. Find the percentage of y in alloy C.
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Mathematics>Arithmetic>Averages>Mixtures and Alligations
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?
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Mathematics>Arithmetic>Averages>Mixtures and Alligations
7 litres mixture of milk and water contains 30% water. 3.5 litres of milk is added to this mixture. What is the percentage of water in the new mixture?
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Mathematics>Arithmetic>Averages>Mixtures and Alligations
In what ratio must a mixture of 15% spirit strength be mixed with that of 25% spirit strength to get a mixture of 21% spirit strength?