Dear Aspirants,

In this article, our focus is to highlight the topic of ‘Ratio and Proportion’ which is an important concept from CAT point-of-view. Out of the 8-10 questions which are expected in the CAT examination, you can expect an application of this topic embedded in the questions.

Alongside, you can also expect the questions of Data Interpretation Section to carry application of this topic also. Hence, this concept will not only help you in escalating your scores in the **Quantitative Aptitude Section**, but would also increase your scores in the **Data Interpretation Section**.

A basic understanding of formulas of ‘Ratio and Proportion’ will aid you in solving the questions easily and efficiently.

**Ratios**

Where *a* is called as the **antecedent **and *b* is called as the **consequent**.

**Comparison of ratios:**

Ratios can be compared. When it is said that a: b > c: d, then it means,

**Different types of ratios**

**Properties of Ratio:**

If both antecedent and consequent are multiplied or divided by the same number the ratio remains unchanged.

Ratio of two fractions can be expressed in fraction as follows:

Where n is a positive integer

Where n is a positive integer

If two different numbers (c and d) are to be added to the antecedent (a) and consequent (b), then it must be satisfy the following condition:

**Read Also: ****More Concepts on Ratios**

**Proportion:**

**Different from proportion**

**Properties of proportion:**

Product of extremes is equal to the product of means.

**Variation: **

**Direct variation: **If two quantities a and b vary directly that is if a increases then b also increases and vice versa, and if there is a non-zero constant m, then,

* a* = *mb*

**Inverse variation: **If two quantities a and b vary inversely that is if a increases then b decreases and vice versa, and if there is a non-zero constant m, then,

**Alligation**

Alligation is the rule which 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.

**Mean Price:**

The cost price of a unit quantity of the mixture is called the mean price which is demoted by (x).

**Rule of Alligation:**

*We hope that these concepts will help you in your preparation of Ration and Proportion chapter. *

*For more updates on the ***quantitative aptitude section*** of MBA entrance exam, keep visiting jagranjosh.com*