Cluster · Mixtures and Alligations

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Clusters / #1316
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Mixtures and Alligation Ratio Problems
Questions
322
Questions in this cluster
321 total
Question Category Subtype Difficulty
Find the percentage concentration of wine in the wine-water solution having the ratio of 7 : 1 respectively.
pipeline-513576
quant percentage intermediate

The ratio of alcohol to water in three types of drugs of equal quantity is 2 : 5, 5 : 9 and 8 : 13 respectively. An equal quantity of all three drugs is mixed. Find the ratio of alcohol to water after mixing.

pipeline-518914
quant intermediate

A shopkeeper has 3 different qualities of Oil, 713 litters of 1st quality, 759 litters of 2nd quality, and 782 litters of 3rd quality. Find the least possible number of bottles of equal size in which different Oils of different qualities can be filled without mixing.

pipeline-533576
quant intermediate

A shopkeeper has 3 different qualities of Milk. 609 liters of 1st quality, 667 liters of 2nd quality and 725 liters of 3rd quality. Find the least possible number of bottles of equal size in which different Milk of different qualities can be filled without mixing?

pipeline-539489
quant intermediate

The amount of alcohol in two different medicines is 1.5% and 2.5% respectively. In what ratio they should be mixed such that the amount of alcohol in the new mixture is 2.1%?

pipeline-31679
quant intermediate

80 litres of a mixture of spirit and water in the ratio 7 : 9 is present in a container A. 20 litres of the mixture is transferred to another container B. Then the container A is filled with 20 litres of water. Then 32 litres of the mixture is again transferred to container B. The ratio of water to spirit of the mixture in container B is equal to:

pipeline-676714
quant intermediate

A beaker is filled with a liquid, 3 parts of which are water and 7 parts of some medicine. What part of the mixture should be replaced with water so that the resultant mixture has water and medicine in a ratio1 : 1?

pipeline-418354
quant intermediate

40 litres of a mixture has 10% alcohol and the rest water. If 4 litres of water be mixed in it, the percentage of alcohol in the new mixture will be:

pipeline-489403
quant percentage intermediate

Two buckets are filled with milk and water in the ratios of 4:1 and 7:2. If these mixtures are mixed in the ratio of 1:5, respectively, then the resulting mixture will have water and milk in the ratio of:

pipeline-491474
quant intermediate

A beaker contains a mixture of two liquids X and Y in the ratio 5 : 3. When 6 litres of the mixture is drawn off and then replaced with Y, the ratio of X and Y becomes 5 : 7. How many litres of liquid X was contained in the beaker initially?

pipeline-343132
quant intermediate

In a mixture, milk and waves are in ratio of 2 : 3. Some milk is added to the mixture because of which ratio of milk and water becomes 10 : 3. How much milk was added as a percentage of initial mixture?

pipeline-664058
quant percentage intermediate

In the mixture water and wine are in the ratio of 7 : 19. If it contains 12 liters more wine than water, then what will be the quantity of wine in the mixture?

pipeline-623610
quant intermediate

In a mixture of 624 litres, the ratio of milk to water is 5 ∶ 3. The amount of water to be further added to the mixture so as to make the ratio of the milk to water 5 ∶ 4 will be:

pipeline-487143
quant intermediate

The concentrations of three wines A, B and C are 10%, 20% and 30%, respectively. They are mixed in the ratio 2 : 3 : x resulting in a 23% concentration solution. Find the value of x.

pipeline-587802
quant intermediate

6 litres are drawn from a cask full of wine and are then filled with water. This operation is performed once more. The ratio of the quantity of wine now left in the cask to that of water is 49 : 15. How much wine did the cask hold originally? (In litres)

pipeline-533891
quant intermediate

If 60 litres of a milk solution has 40% milk in it, then how much milk should be added to make the milk 60% in the solution?

pipeline-581563
quant intermediate

4 litres are drawn from a cask full of wine and is then filled with water. This operation is performed once more. The ratio of the quantity of wine now left to that of the water is 16:9. How much wine the cask hold originally? (In litres)

pipeline-530770
quant intermediate

The initial ratio of sugar to flour in the dough was 2 : 7. To 9 kg of the dough, John added more sugar to make the sugar to flour ratio 2 : 5. Find the sugar later added by John.

pipeline-48976
quant intermediate

In a solution of water and milk, the quantity of milk is double the quantity of water. To pass the quality standards, the solution must contain 90% milk in it. If the volume of solution is v, then how much pure milk in litre is to be added to the solution to pass the quality standard.

pipeline-568408
quant intermediate

\(2\over3\) of a milk-water mixture was milk. There was 21 litres of the mixture. If 4 litres of water is added to it, the percentage of milk in the new mixture will be:

pipeline-328936
quant percentage intermediate

A mixture of milk and water contains 18 parts of milk and 8 parts of water. How much fraction of the mixture should be removed and replaced by water so the ratio of water and milk are equal?

pipeline-493472
quant intermediate

A bottle is filled with liquid of which 4 parts are water and 5 parts are fruit extract. How much of the mixture must be drawn off and replaced with water so that the mixture may by half water and half fruit extract?

pipeline-578292
quant intermediate

A bucket contains liquid A and B in the ratio 11 : 12. 92 litre of the mixture is taken out and filled with 92 litre of B. Now the ratio changes to 9 : 10. Find the quantity of liquid B intially? (In litres)

pipeline-538624
quant intermediate

There is 10% water in a 40-litre solution of milk and water. If 10 litres of water are added to this solution, then what percentage of the new solution will be water?

pipeline-348739
quant percentage intermediate

In 90 litres of a mixture of milk and water, the ratio of milk and water is 4 : 1. How much water should be added in the mixture so that the ratio of milk to water becomes 3 : 1 ?

pipeline-493695
quant intermediate

A 558 litre of mixture contains milk and water in the ratio 15:16. How much milk must be added to the mixture so that it contains milk and water in the proportion of 3:2?

pipeline-570266
quant intermediate

A container contains 36 litres of water. From this container, 6 litres of the content were taken out and replaced by oil. This process was repeated two times. How much water is inside the container?

pipeline-529424
quant intermediate

A bucket contains liquids A and B in the ratio 16 : 17. 132 liters of the mixture are taken out and filled with 132 liters of B. Now the ratio changes to 5:6. Find the quantity of liquid B initially.

pipeline-533459
quant intermediate

A 460 litres of mixture contains milk and water in the ratio 11 : 12. How much milk must be added to the mixture so that it contains milk and water in the proportion of 3 : 2. (In litres)

pipeline-532820
quant intermediate

In 30 litres of milk and water, water is only 20%. How many litres of water should be added to it to increase the percentage of water to 60% ?

pipeline-315667
english percentage intermediate

There are 4 colonies A, B, C and D in the Ranchi city of Jharkhand. The capacity of the city to supply water in a day is 50 thousand liters. If the ratio of the consumption of water in colony A, colony B, colony C and colony D is 4 : 3 : 2 : 1, then find the consumption of water in colony A and colony C together.

pipeline-61428
english intermediate

In a mixture of milk and water, the water concentration is 25%. A milkman sells 20 litres of the mixture and adds 15 litres of milk as well as 15 litres of water. Now the concentration of milk is 150% greater than that of water. What was the quantity of milk in the original mixture?

pipeline-34899
english intermediate

Two mixtures P and Q contain Hydrochloric acid and Sulfuric acid in the ratio 8 : 7 and 4 : 3 respectively. These two mixtures P and Q are mixed in the ratio 15 : 7 to form a third mixture R, then what will be the ratio of Hydrochloric acid and Sulfuric acid in the mixture R?

pipeline-42661
english intermediate

200 ml honey is added in some quantity of milk. If another mixture of equal volume having ratio of honey and milk 4 : 11 is mixed in the first mixture then ratio of honey and milk in the final mixture becomes 1 : 4. What is the quantity of milk in first mixture?

pipeline-36607
english intermediate

A milkman had 500 liters of milk in a jar. He took 20% mixture from the jar and replaced it with water. He did the same work 2 more times. How much percent of water is there inside the jar in the end?

pipeline-26754
english percentage intermediate

A tank has 20 liters of Oil and water mixture in the ratio 5 : 3. After some time, 6 liters of the mixture was taken out and replaced with another oil and water mixture but with a different ratio. It was found that the tank had finally 13 liters of Oil and the rest water in the mixture. What was the ratio of oil and water mixture that was used as replacement?

pipeline-41990
english intermediate

In a 100 L mixture, ratio of Petrol to Diesel is 2: 3. 10 L of this mixture is taken out and replaced with same quantity of Petrol and this process is repeated one more time, now difference between quantity of Diesel and Petrol is what percent of the initial difference of quantity of Diesel and Petrol?

pipeline-39798
english percentage intermediate

Three containers A, B, C of capacity 20 liters, 30 liters, 55 liters contain mixture of milk and water, water and soda and soda and rasna in the ratio 2 : 3, 1 : 4, 5 : 3 respectively. If 3/5th of the mixture from A, 2/6th from B and 8/11th from C is taken out and poured in a 4th container D then what is the ratio of milk, soda and rasna in the resulting mixture?

pipeline-14034
english intermediate

In 64 litres of pure milk, 20 litres of water is mixed and then 1/4th of the mixture is taken out. If x litre of water is added again then, the ratio of water to that of the milk becomes 1 : 2. Find the value of x.

pipeline-34701
english intermediate

In a mixture the ratio of milk and water is 7 : 5. When 56 litres of water is added to this mixture the ratio of milk and water in mixture becomes 7 : 3. Find the initial quantity of milk and water. 

pipeline-207270
english intermediate

The ratio of milk and water in a vessel is 5 : 8. If 6 liter of milk added in it ratio of milk to water becomes 7 : 8. Find the initial quantity of mixture in the vessel.

pipeline-232138
english intermediate

In what ratio should a milkman mix water and milk such that he earns a profit of 25% by selling the milk at the cost price? (Water is free)

pipeline-40610
english profit_loss intermediate

In a mixture, the ratio of oil and paint is 13 : 7. 20% of the amount of paint in the mixture is added to the mixture of oil and paint and then 10% of the newly formed mixture is removed. What is the new ratio of oil and paint in the mixture?

pipeline-24925
english intermediate

The ratio of petrol and kerosene in the container is 5 : 4. When 15 litres of the mixture is taken out and is replaced by the kerosene, the ratio becomes 4 : 5. Find out the total quantity of the mixture in the container. 

pipeline-295989
english intermediate

Two vessels P and Q contain 720 liters of a mixture of oil and ghee in which the ratios of oil and ghee are 5 : 4 and 5 : 3 respectively. Mixtures from both vessels are mixed together and the ratio of oil and ghee in the final mixture in its simplest form is P : Q. What is the value of (P + Q)?

pipeline-45880
english intermediate

If three containers A, B, and C have a mixture of Petrol and diesel in the form of ratio 3 : 7, 11 : 9, and 3 : 2 respectively. If we take the mixture from these containers in the ratio 1 : 3 : 2 and put it into another container D. So, find the ratio of Petrol and diesel in container D.

pipeline-90284
english intermediate

A tank has 20 litres of Oil and water mixture in the ratio 5 : 3. After some time, 6 litre of the mixture was taken out and replaced with another oil and water mixture but with different ratio. It was found that tank had finally 13 litres of Oil and rest water in the mixture. What was the ratio of oil and water mixture which was used as replacement?

pipeline-35402
english intermediate

A mixture A is formed after mixing petrol and oil in the ratio 5 : 3 and mixture B is formed after mixing 10 litres of petrol with 20 litres of oil. In what ratio should A and B mixed so that the ratio of petrol and oil in the final mixture will be in the ratio 3 : 5?

pipeline-44863
english intermediate

From 144 liters of kerosene oil, a thief withdraws 24 liters and replaces it with the same amount of petrol. This process is repeated once more and after this 36 liters of Diesel is added to this mixture. What will be the final ratio of kerosene oil, Petrol, and Diesel in the mixture?

pipeline-30602
english intermediate

A container is filled with a mixture of milk and water in the ratio 10 : 5. If 20 L of water is added to this mixture, the ratio of milk and water becomes 6 : 9. Find the quantity of water in the new mixture.

pipeline-22210
english intermediate
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