Alligation is **one of the simple and illustrative methods in pharmacy to calculate the proportion of any two solutions to be mixed to prepare final solution of required concetration**.

A mixture is made when two or more substances are combined, but they are not combined chemically. There are two main categories of mixtures: **homogeneous mixtures and heterogeneous mixtures**. In a homogenous mixture all the substances are evenly distributed throughout the mixture (salt water, air, blood).

The equality of two ratios is called proportion. If **a : b = c : d**, we write a : b :: c : d and we say that a, b, c, d are in proportion. Here a and d are called extremes, while b and c are called mean terms.

Therefore wine left = **(x-32)**. Water filled 4 times = (4*8) = 32. Therefore ratio of (Quantity of wine left/Quantity of water). = (16/65).

Solving a percent mixture problem can be done using the equation **Ar = Q**, where A is the amount of a solution, r is the percent concentration of a substance in the solution, and Q is the quantity of the substance in the solution.

Answer: A mixture is **a combination of two or more substances (elements or compounds) which is not done chemically**. Mixtures are two types Homogeneous Mixtures and Heterogeneous mixtures. Homogeneous Mixtures: A Homogeneous mixture has a uniform composition of its components throughout its mass.

Alligation is **one of the simple and illustrative methods in pharmacy to calculate the proportion of any two solutions to be mixed to prepare final solution of required concetration**.

**Here are a few more examples:**

- Smoke and fog (Smog)
- Dirt and water (Mud)
- Sand, water and gravel (Cement)
- Water and salt (Sea water)
- Potassium nitrate, sulfur, and carbon (Gunpowder)
- Oxygen and water (Sea foam)
- Petroleum, hydrocarbons, and fuel additives (Gasoline)

**Average and Alligation**

- Basic Formulae for average of n numbers x1, x2, x3.xn is given by.
- An=(x1+x2+x3+xn)/n=Total of n numbers/n.
- This also means that (An)*n =Total of the numbers.
- Average of sum of first n natural numbers = (n+1)/2.
- Average of sum of square of first n natural numbers is = (n+1)*(2n+1)/6.

Mixture and Alligation – Concept. 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.

Alligation is an important area of quantitative aptitude for various competitive exams. The rule of alligation **enables us to find the ratio in which two or more ingredients at the given price must be mixed to produce a mixture of a desired price**.

The Rule of Alligation**The quantity of cheaper/ Quantity of dearer = Price of dearer – Mean price/ Mean price – Price of cheaper**. Some of the points you need to remember while solving mean price in alligation and mixture: 1. The cost prices are considered in alligation and mixture.

Let 'c' be the cost price or C.P. of a unit quantity of a cheaper substance, 'm' be the mean price, 'd' be the cost price of a unit quantity of the dearer substance, then we can write: **(Quantity of the Cheaper Substance) : (Quantity of the Dearer Substance) = (d – m) : (m – c)**.

In what ratio must a shopkeeper mix **Peas and Soybean of Rs.** **16 and Rs.** **25 per kg respectively**, so as to obtain a mixture of Rs.

Q 5.

The general formula to calculate C.P. in case of profit = | 100 | x S.P. |
---|---|---|

(100 + Gain%) |

Aptitude :: Alligation or Mixture

The cost of a unit quantity of the mixture is called the mean price. (Cheaper quantity) : **(Dearer quantity) = (d - m) : (m - c)**. Suppose a container contains x of liquid from which y units are taken out and replaced by water.

Formula to Calculate Probability

The formula of the probability of an event is: Probability Formula. Or, **P(A) = n(A)/n(S)**

The questions from mixture are usually based on Ratio and Proportion and do not require any special formula. **Alligation is a rule that enables us to quickly calculate the price of a mixture, given that it is a mix of two elements having different prices**. Here, mean price is the price of 1 unit of the mixture.

There are two types of mixtures: heterogeneous and homogeneous. **Heterogeneous mixtures have visually distinguishable components, while homogeneous mixtures appear uniform throughout**. The most common type of homogenous mixture is a solution, which can be a solid, liquid, or gas.

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**These include:**

- Bachelor of Science in Biochemistry: It is a three-year course that will provide you with a Bachelor's degree in Biochemistry.
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- M.
- PhD in Biochemistry.

How to Find the Sum of Natural Numbers 1 to 100? The sum of all natural numbers from 1 to 100 is 5050. The total number of natural numbers in this range is 100. So, by applying this value in the formula: **S = n/2**, we get S=5050.

Dated : 01-Jun-2022

Category : Education