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Tips & Tricks: Mixture & Alligation - Tips & Tricks for Government Exams - Bank 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.
    Tips & Tricks: Mixture & Alligation | Tips & Tricks for Government Exams - Bank 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  
    Tips & Tricks: Mixture & Alligation | Tips & Tricks for Government Exams - Bank ExamsIt is also called the rule of alligation and can also be represented as
    Tips & Tricks: Mixture & Alligation | Tips & Tricks for Government Exams - Bank 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

The document Tips & Tricks: Mixture & Alligation | Tips & Tricks for Government Exams - Bank Exams is a part of the Bank Exams Course Tips & Tricks for Government Exams.
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FAQs on Tips & Tricks: Mixture & Alligation - Tips & Tricks for Government Exams - Bank Exams

1. What is mixture and alligation in mathematics?
Ans. Mixture and alligation is a mathematical concept used to solve problems related to mixing different ingredients or solutions to obtain a desired ratio or concentration.
2. How can mixture and alligation be applied in real-life scenarios?
Ans. Mixture and alligation can be applied in various real-life scenarios such as mixing different grades of oil to obtain a desired grade, combining different types of metals to create alloys, or diluting a solution to a specific concentration.
3. What is the formula used in mixture and alligation problems?
Ans. The formula used in mixture and alligation problems is: Quantity of A / Quantity of B = (C2 - M) / (M - C1) Where A and B represent the two ingredients or solutions, C1 and C2 represent the concentrations of A and B respectively, and M represents the desired concentration of the mixture.
4. How can mixture and alligation be solved using the shortcut method?
Ans. In mixture and alligation problems, the shortcut method involves finding the ratio of the quantities of the two ingredients or solutions using the formula mentioned above. This ratio can then be used to calculate the individual quantities required to achieve the desired ratio or concentration.
5. Can mixture and alligation be solved using algebraic equations?
Ans. Yes, mixture and alligation problems can also be solved using algebraic equations. By assigning variables to the quantities of the ingredients or solutions, equations can be formed based on the given information. These equations can then be solved to find the unknown quantities. However, the shortcut method is often preferred due to its simplicity and efficiency.
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