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Shortcuts and Tricks Mixtures & Alligations Video Lecture - CSAT Preparation

Video Timeline
Video Timeline
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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 Shortcuts and Tricks: Mixtures & Alligations Video Lecture - CSAT Preparation - UPSC

1. What is the concept of mixtures and alligations in mathematics?
Ans. Mixtures and alligations is a branch of mathematics that deals with the combination of different substances or quantities to obtain a desired mixture or ratio. It involves understanding the relationship between the quantities and concentrations of the components in a mixture.
2. How can mixtures and alligations be applied in real-life situations?
Ans. Mixtures and alligations have practical applications in various fields such as chemistry, pharmacy, and manufacturing industries. For example, in pharmacy, mixtures and alligations are used to determine the exact amounts of different ingredients needed to create a specific medicine or solution.
3. What is the rule of alligation in mixtures and alligations?
Ans. The rule of alligation is a fundamental concept in mixtures and alligations. It states that if two components are mixed to form a mixture, the ratio of the quantities of the components is inversely proportional to the differences between their respective prices, strengths, or concentrations.
4. How can mixtures and alligations be solved using the shortcut method?
Ans. To solve mixtures and alligations problems quickly, a shortcut method can be used. This method involves representing the quantities and concentrations of the components as weights and distances on a line. By finding the mean proportional, the unknown quantities can be determined easily.
5. Can mixtures and alligations be used to solve problems involving cost and price?
Ans. Yes, mixtures and alligations can be applied to solve problems related to cost and price. By considering the cost or price of each component, along with their respective quantities in a mixture, mixtures and alligations can help determine the average cost or price of the mixture.
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Feb 18, 2026 Last updated
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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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