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# Alligations and Mixtures Questions and Answers

**Alligations and Mixtures Questions**

Alligation and Mixtures Questions and Answers are provided on this page for students to practice and get an idea how this topic is asked in the exam.

Alligation is the process which allows us to identify the proportion in which the numerous ingredients must be mixed at the specified price in order to create a mixture at a given price.

Alligation Methods
Alligation Medial which is used to calculate the quantity of a mixture.
Alligation Alternate which is used to calculate the quantity of each ingredient required to produce a mixture.

## Alligation and Mixture Rules

- If two different ingredients are assorted in a proportion, then
- \frac{( \text{ Quantity of cheaper})}{ (\text{ Quantity of dearer})}= \frac{(C.P. of dearer)-(Mean Price)}{ (Mean Price)-(C.P.of Cheaper)}
- Furthermore, it can be presented as:

- (Cheaper quantity): (dearer quantity) = (d – m): (m – c)
**Repeated Dilution:**If a barrel contains ‘a’ units of liquid out of which ‘b’ units are removed and substituted by water. Then, after ‘n’ processes, the amount of liquid,

= [x (1 – y/x)^{n}] units- Furthermore, it is used to analyze the quantity of pure liquid left after ‘n’ number of procedures of constant substitution is prepared on the pure quantity.

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