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Mixture and Alligation Tips and Tricks for Government Exams

Theory

  • A mixture, as the name suggests is mixing two or more things together and alligation enables us to find the ratio in which the ingredients/ things have been mixed and at what price they are sole to earn profit or face loss.
  • To solve mixture and alligation questions, one must know that alligation is used to find the mean value of a mixture when the ratio and amount of the ingredients mixed are different and also to find the proportion in which the elements are mixed.
    Mixture and Alligation Tips and Tricks for Government Exams

Formula

This, given below are a few formulas which will help candidates with the same and let them solve the mixture and alligation questions more conveniently:

  • The basic formula which is used to find the ratio in which the ingredients are mixed is  
    Mixture and Alligation Tips and Tricks for Government ExamsIt is also called the rule of alligation and can also be represented as
    Mixture and Alligation Tips and Tricks for Government Exams

Tips

  • The rule of alligation can also be used to solve questions based partnerships, time and work and wages
  • Read a question and try placing the values in the alligation rule mentioned above to solve the question
  • Questions from this topic may sound a bit tricky but are easy to solve if once a candidate get familiar with the concept and the important formulas used
  • You can not just find the ratio between the quantity of two elements but also the rate at which the article can be sold using the alligation rule

Solved Examples

Question for Tips & Tricks: Mixture & Alligation
Try yourself:15 litres of the milk is drawn out of a jar and filled with water. This operation is performed 1 more times. If the ratio of the quantity of milk left in jar to that of water in jar is 16 : 9, what was the initial quantity of milk present in the jar?
View Solution

Question for Tips & Tricks: Mixture & Alligation
Try yourself:A mixture contains A and B in the ratio 5 : 9. 14 litres of this mixture is taken out and 14 litres of B is poured in. Now the ratio of A to B becomes 2 : 5. Find the amount of B originally present in the mixture.
View Solution

Question for Tips & Tricks: Mixture & Alligation
Try yourself:A mixture contains A and B in the ratio 5 : 7. 24 litres of this mixture is taken out and 15 litres of A is poured in. Now the ratio of A to B becomes 10 : 7. Find the amount of B originally present in the mixture.
View Solution

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FAQs on Mixture and Alligation Tips and Tricks for Government Exams

1. What is the concept of Mixture & Alligation in mathematics?
Ans. Mixture & Alligation is a mathematical technique used to find the ratio in which two or more ingredients at a given price must be mixed to produce a mixture at a specified price.
2. How is Mixture & Alligation useful in solving problems related to proportions and mixtures?
Ans. Mixture & Alligation helps in determining the quantity of each ingredient required to achieve a desired mixture at a given price. It is particularly useful in solving problems related to proportions and mixtures efficiently.
3. Can Mixture & Alligation be applied to real-life scenarios outside of mathematics?
Ans. Yes, Mixture & Alligation can be applied to real-life scenarios such as mixing different grades of coffee to get a desired blend, mixing different grades of fuel to achieve a specific octane level, or blending different types of paint to achieve a desired color.
4. How does one solve Mixture & Alligation problems step by step?
Ans. To solve Mixture & Alligation problems, first, determine the mean price of the mixture. Then, find the deviations of each ingredient's price from the mean price. Finally, set up and solve proportions to find the ratio in which the ingredients must be mixed.
5. Are there any shortcuts or tricks to solve Mixture & Alligation problems quickly?
Ans. Yes, there are shortcuts such as the rule of allegation, which involves finding the ratio by using the differences in prices of the ingredients and the mean price of the mixture. Additionally, practice and familiarity with different types of problems can help in solving Mixture & Alligation problems quickly.
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