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Mixture and Alligation Tips and Tricks for Government Exams

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00:00Quantitative Aptitude
00:48Trick
08:11One can is completely filled and contains 100% water. Another similar can is completely filled with a solution of 50% wine and 50% water. When both the cans are emptied in a steel vessel
09:49Resultant price of mixture of golden rice is Rs. 480 per kg. This mixture is made from two varieties of golden rice which are having price of Rs. 420 per kg and Rs. 520 per kg. What should be
11:59A mixture consists of some amount of sandalwood oil and 240 litres of water. It is priced at Rs. 275 per litre. Sandalwood oil is priced Rs. 325 per litre. How much oil is there in the mixture?
14:00How much milk should be added in a milk solution to make milk quantity in it 75%, if 80 L of milk solution has 45% milk in it?
16:49(5) A pot contains 40 litres of juice. How much juice will be there in the pot, if 4 litres of juice was removed and was replaced by
24:46One glass has juice and water in the ratio 5:2 while other glass has them in ratio 7:4, respectively. If both glasses poured in a vessel, then what will be final ratio of water to juice in the vessel?
28:09Ramesh mixes 60 litres of Type-1 acid with some litres of Type- 2 acid. Type-1 acid rate is Rs. 32 per litre while Type-2 rate is Rs. 23 per litre. Ramesh sells this acid-mix at rate Rs. 28 per litre. How much Type-2 acid is needed to make it a no profit no loss transaction?
31:17In a mixture of 90 L the ratio of acid and water is 2:1. If the ratio of acid and water is to be 1:2, then the amount of water in litres to be added to the mixture is?
33:123 types of Sugar got mixed by accident in a shop. First was of the rate Rs. 145 per kg and Second of Rs. 165 per kg. Only thing the shop owner knew that quantities of 3 sugar types were in the ratio 2:1:3 respectively. He finally sold the mix at rate of Rs. 180 per kg. What was price of 3rd type?
37:23A mixture of two food items has a salt to sugar ratio of 7:32. The ratio of salt to sugar is 2:11 and 5:21, in the two individual types of food items. In what proportion are the 2 food items
43:29A solution of honey and water is 28 litres, with honey and water in ratio 4:3. To this a 21 litre honey water solution is added that has honey to water ratio as 2:1. Again a 51 litre honey water solution that has honey to water ratio as 9:8 is added to this. After this 10 litre of the solution is replaced with pure honey. What is ratio of water to honey in the final
49:40Rohit buys some rice at Rs. 10.40 per kg. He mixes it with some rice having price Rs. 8.8 per kg. The final mixture becomes 15 kg in weight and with total worth Rs. 146.40. What is the quantity of rice priced at Rs. 8.8 per kg?
52:11Sunil started a juice (lemon syrup + water) counter. Initially he had 140 litre juice which had 30% water in it. He sold 20 litres of the juice. Then he added equal amount of lemon syrup and water. Now the ratio of water to lemon syrup became 1:2. How
55:26A milkman had water and milk mixture in a can with water to milk ratio 5:7. He accidently spills 9 liters of the mixture. He then fills the can with water equal in quantity to spilled mixture. This makes the water to milk ratio 9:7. How much milk did the can initially have?
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FAQs on Mixture and Alligation Tips and Tricks for Government Exams

1. What is mixture and alligation in mathematics?
Ans. Mixture and alligation is a mathematical technique used to solve problems related to the mixing of different quantities of ingredients or components to obtain a desired mixture or ratio. It helps in finding the ratio in which two or more ingredients should be mixed to obtain a desired proportion.
2. How can mixture and alligation be applied in real-life situations?
Ans. Mixture and alligation can be applied in various real-life situations, such as calculating the ratio of ingredients needed to make a specific dish, determining the percentage of different alloys in a metal mixture, or finding the concentration of a solution by mixing different strengths of the same solution.
3. What are the key steps to solve mixture and alligation problems?
Ans. The key steps to solve mixture and alligation problems are as follows: 1. Identify the different components or ingredients involved in the mixture. 2. Determine the given ratios or proportions of the components. 3. Use the alligation method to find the mean ratio of the components. 4. Use the mean ratio to calculate the quantities of each component required to obtain the desired mixture or ratio.
4. Can mixture and alligation be used for more than two components?
Ans. Yes, mixture and alligation can be used for more than two components. The alligation method involves representing the different components as points on a number line and finding the mean ratio of these points. This mean ratio can then be used to calculate the quantities of each component required.
5. Are there any alternative methods to solve mixture and alligation problems?
Ans. Yes, there are alternative methods to solve mixture and alligation problems, such as the method of fractions and the method of equations. These methods involve setting up equations based on the given ratios and solving them to find the quantities of each component. However, the alligation method is a more systematic and efficient approach for solving such problems.
Video Timeline
Video Timeline
arrow
00:00Quantitative Aptitude
00:48Trick
08:11One can is completely filled and contains 100% water. Another similar can is completely filled with a solution of 50% wine and 50% water. When both the cans are emptied in a steel vessel
09:49Resultant price of mixture of golden rice is Rs. 480 per kg. This mixture is made from two varieties of golden rice which are having price of Rs. 420 per kg and Rs. 520 per kg. What should be
11:59A mixture consists of some amount of sandalwood oil and 240 litres of water. It is priced at Rs. 275 per litre. Sandalwood oil is priced Rs. 325 per litre. How much oil is there in the mixture?
14:00How much milk should be added in a milk solution to make milk quantity in it 75%, if 80 L of milk solution has 45% milk in it?
16:49(5) A pot contains 40 litres of juice. How much juice will be there in the pot, if 4 litres of juice was removed and was replaced by
24:46One glass has juice and water in the ratio 5:2 while other glass has them in ratio 7:4, respectively. If both glasses poured in a vessel, then what will be final ratio of water to juice in the vessel?
28:09Ramesh mixes 60 litres of Type-1 acid with some litres of Type- 2 acid. Type-1 acid rate is Rs. 32 per litre while Type-2 rate is Rs. 23 per litre. Ramesh sells this acid-mix at rate Rs. 28 per litre. How much Type-2 acid is needed to make it a no profit no loss transaction?
31:17In a mixture of 90 L the ratio of acid and water is 2:1. If the ratio of acid and water is to be 1:2, then the amount of water in litres to be added to the mixture is?
33:123 types of Sugar got mixed by accident in a shop. First was of the rate Rs. 145 per kg and Second of Rs. 165 per kg. Only thing the shop owner knew that quantities of 3 sugar types were in the ratio 2:1:3 respectively. He finally sold the mix at rate of Rs. 180 per kg. What was price of 3rd type?
37:23A mixture of two food items has a salt to sugar ratio of 7:32. The ratio of salt to sugar is 2:11 and 5:21, in the two individual types of food items. In what proportion are the 2 food items
43:29A solution of honey and water is 28 litres, with honey and water in ratio 4:3. To this a 21 litre honey water solution is added that has honey to water ratio as 2:1. Again a 51 litre honey water solution that has honey to water ratio as 9:8 is added to this. After this 10 litre of the solution is replaced with pure honey. What is ratio of water to honey in the final
49:40Rohit buys some rice at Rs. 10.40 per kg. He mixes it with some rice having price Rs. 8.8 per kg. The final mixture becomes 15 kg in weight and with total worth Rs. 146.40. What is the quantity of rice priced at Rs. 8.8 per kg?
52:11Sunil started a juice (lemon syrup + water) counter. Initially he had 140 litre juice which had 30% water in it. He sold 20 litres of the juice. Then he added equal amount of lemon syrup and water. Now the ratio of water to lemon syrup became 1:2. How
55:26A milkman had water and milk mixture in a can with water to milk ratio 5:7. He accidently spills 9 liters of the mixture. He then fills the can with water equal in quantity to spilled mixture. This makes the water to milk ratio 9:7. How much milk did the can initially have?
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