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

If two vessels A and B contain a mixture of acid and milk in the ratio 4 : 3 and 5 : 2. If both the mixtures are mixed in equal quantity and kept in vessel C, then find the final ratio of acid and milk in vessel C.

pipeline-50915
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

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

A and B are the two containers of a mixture of milk & water. The ratio of milk and water in containers A and B are 7 : 2 and 7 : 11 respectively. If equal quantities of these two mixtures are mixed to form a new mixture, find the ratio of milk and water in the new mixture. 

pipeline-13993
english 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

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 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

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

During an experiment, a test tube containing 200 ml oil broke and it was mixed with 4 liters of water. When 350 ml of this mixed solution is taken as a sample, what is the volume of oil present in the sample?

pipeline-49601
english intermediate

The cost price of liquid A and liquid B are in the ratio of 3 : 4. A man mixed liquid A with liquid B and sold the mixture at the cost of liquid B at 1700/20 % profit. If the quantity of liquid B in the mixture is 8 L, then find the total quantity of the mixture.

pipeline-34276
english intermediate

The ratio of milk and water in both mixture A and mixture B is which is 4 : 1. The quantity of mixture B is 120% of that of mixture A. If the total quantity of water in both the mixtures together is 22 L, then find the quantity of milk in mixture A?

pipeline-34283
english intermediate

In a 64 L mixture of milk and water the ratio of water to milk is 3 : 5. If x litre water is mixed in this mixture, the ratio of water to milk becomes 5 : 8. Find the value of x.

pipeline-232030
english intermediate

From a container of alcohol, a student took out 20 litres of alcohol and replaced with same amount of water. On repetition of this process thrice, the ratio of alcohol to water became 729 : 271. Find out the initial amount of alcohol present in the container ?

pipeline-295995
english intermediate

A milkman takes out some quantity of milk from a mixture that contains 40% milk (rest is water) and replaced what he had stolen with a mixture having 20% milk only. The mixture then contained only 35% milk. How much percentage of the mixture did he take out initially?

pipeline-52385
english percentage 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

Two containers A and B having a mixture of lime and sand in the ratio 1 : 4 and 7 : 3. If we take x litre mixture from container A and y litre mixture from container B. and mixed it together and placed in container C such that the final ratio of lime and sand becomes 3 : 2. Find the ratio of x and y.

pipeline-56255
english intermediate

The ratio of milk and water in a mixture is 5 : 4. If we add 4 litres of water, the ratio of milk and water  becomes 9 : 8. What is the quantity of the final mixture?

pipeline-295445
english intermediate

From a mixture of petrol and diesel, 7/8th of the mixture is taken out and replaced with an equal quantity of diesel. If the initial and final ratio of petrol and diesel in the mixture is 2 : 1 and 1 : 11 then what is the quantity (In litre) of the mixture?

pipeline-36201
english intermediate

30 litres of a mixture contains 40% of alcohol and the rest is water. If 2 litres of water be mixed in it, the percentage of alcohol in the new mixture is:

pipeline-295458
english percentage intermediate

The ratio of milk and water in a mixture is 5 : 4. If 7 liters of water is added to the mixture, then the new ratio will become 2 : 3 . Find the initial volume of water in the mixture.

pipeline-10627
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

A mixture contains milk and water in the ratio 9 : 7. Certain quantity of the mixture is taken out and replaced with equal quantity of water such that new ratio is 7 : 9. Find the part of mixture that was taken out.

pipeline-9766
english intermediate

A container contains 60 liters of milk. From this container, 12 liters of milk were taken and replaced with water. This process was repeated further two more times. How much water is now contained in the container?

pipeline-12071
english intermediate

A mixture contained 10 liters of juice and 7 liters of Water. 510 ml of this mixture was taken and replaced with water. This activity was repeated once more. What is the quantity of water in the final mixture?

pipeline-52747
english intermediate

A container has a 126-liter mixture of water and sugar in a ratio 11 : 10. How much water be added to make the ratio 5 : 3.

pipeline-90088
english intermediate

A vessel contains 72 litre mixture of soda and water in a ratio of 5 : 3. If 18 litres of mixture is taken out and 20 litres of pure water is added, then what is the difference between the quantity of water and soda in the final mixture?

pipeline-34895
english intermediate

From a container containing milk, 8 liters of mixture is taken out and replaced with water. Then the container was drained to half of its volume and again 8 liters of the mixture was taken out and replaced with water, this process was repeated two more times. If the amount of milk in the resulting mixture was \(2\frac{5}{8}\) liters. Find the amount of milk initially.

pipeline-16536
english intermediate

WHO recommends that alcohol content should be at least 70% in sanitizer. A manufacturer maintained 80% alcohol requirement in 150 litres of sanitizer while applying for testing. However, after testing he mixed these 150 litres of sanitizer with 500 litre of sanitizer which had 60% alcohol content. What is the final alcohol content in the mixed sanitizer?

pipeline-26039
english intermediate

To make a 100 litre solution of acid 40% from 50%. How much water must added ?

pipeline-233964
english intermediate

Two solutions A and B contain milk and water in the ratio 2 : 5 and 6 : 7 respectively. In what ratio these solutions be mixed to get a new solution C, containing milk and water in the ratio 5 : 8 ?

pipeline-95663
english intermediate

A vessel contains x liters of milk and 60 liters of water and then x/3 liters of water is added to the vessel, then the quantity of milk and water becomes equal. Find the initial quantity of mixture in the vessel.

pipeline-502930
english intermediate

In a mixture of orange juice and water, the quantity of orange juice was 4 litres more than that of water. Rajesh added 30 litres of the second mixture ( which has a ratio of orange juice to water 3:2) in the first mixture and the ratio of orange juice to water becomes 12:7. What is the total quantity of water in the final mixture?

 

 

 

 

 

 

 

 

 

 

pipeline-306106
english intermediate

A vessel contains a mixture of milk and water and the quantity of milk is 80 liters more than that of water. If 80 liters of milk and 40 liters of water is added to the mixture, then the ratio of milk to water becomes 7:4. Find the actual quantity of water in the vessel.

pipeline-501790
english intermediate

Gajendra Verma, a dishonest milkman sells his milk at a cost price but he mixes water in it and thereby gains 20% on selling the mixture. Find in what ratio Gajendra is mixing water and milk.

pipeline-305661
english intermediate

A vessel contains two liquids S and Q in the ratio 7 : 4. 11 litres of mixture is drawn off and is completely replaced by liquid Q and then the ratio becomes 1 : 1. What was the quantity (in litres) of liquid S in the container initially?

pipeline-306088
english intermediate

The ratio of wine and water in two different containers is 1 : 2 and 3 : 4. In what ratio we are required to mix the mixtures of the containers to get the ration of water and wine in the new mixture be 7 : 4?

pipeline-297042
english intermediate

Quantity I: In a 40 litre mixture of acid and water, the acid is only 10% then find amount of acid to be added to make acid concentration 50% in the mixture.

Quantity II: In a 100 litre mixture of petrol and kerosine, the kerosine is only 2% then find the amount of kerosine to be added to make kerosine concentration 30% in the mixture.

pipeline-51201
english intermediate

Dilip Kumar, has a 70 litres mixture of milk and water in the ratio of 9 : 5. How much water should be added so that the ratio becomes 5 : 7?

pipeline-305991
english intermediate

In the mixture of honey and water, 20% of water was present initially. When 10 liters of mixture is replaced by pure honey, the percentage of honey becomes 82%. Find out the initial quantity of the mixture.

pipeline-297059
english percentage intermediate

90 litres mixture of juice and water contains 20% of water. If 25 litres of mixture is taken out from the mixture. Find what quantity of water should be mixed in the remaining mixture so that the ratio of juice and water is 4:13.

pipeline-306024
english intermediate

A milkman made a 100-litre mixture of milk and water, milk is 60 litres more than that water. When 'k' litres of mixture is taken out and (k +10) litres of water is added, and the ratio of milk to water becomes 3 : 2. Find the value of 'k'.

pipeline-306116
english intermediate

In a container, the ratio of milk and water is 5 : 4. In another container, the ratio of milk and water is 7 : 4. In what ratio the mixture from both the containers be taken so that the ratio of milk and water in the final mixture be 56 : 43 ?

pipeline-297056
english intermediate

There are two mixtures A and B of milk and water. Quantity of water in mixture A is 10 L,  the cost of mixture A is Rs.27 per L and the cost of pure milk is Rs.36 per L. If the quantities of milk and water in mixture B are respectively 80% and 160% of that in mixture A respectively, then find the cost of mixture B per litre?

pipeline-501951
english intermediate

A milkman named Suresh wants to replace milk with water from a container containing 40 litres of a milk-water mixture in the ratio of 4:1. Find out how many litres of milk should be replaced with water, so that milk and water are there in the same proportion.

pipeline-305632
english intermediate

A vessel contains a mixture of milk and water in which 40% of the mixture is water. If 15 liters of water and 30 liters of milk are added to the mixture, then the quantity of milk becomes 60% more than that of water. Find the initial quantity of the mixture?

pipeline-501941
english intermediate

A container is filled with a mixture, 4 parts of which is water and 9 parts are syrup. How much mixture must be drawn off and replaced with water so that the ratio of water and syrup be 1 : 1?

pipeline-297057
english intermediate

A vessel contains a milk and water mixture in which 45% is water. A part of this mixture is replaced by another which contains 90% milk and now the percentage of milk was found to be 80%. What is the quantity of mixture replaced?

pipeline-306042
english percentage intermediate

A container contains a mixture of milk and water in the ratio of 4 : 1. Tarun, a milkman adds 2 litres of water, and the ratio becomes 8 : 3. What is the quantity of water in the final mixture?

pipeline-305994
english intermediate
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