SSC CGL Exam > SSC CGL Notes > Quantitative Aptitude > Infographics: Ratio and Proportion
Infographics: Ratio and Proportion
| Download, print and study this document offline |
Please wait while the PDF view is loading
Page 1 Ratio Comparison of two similar quantities using division, represented as a : b or a/b. It's an abstract quantity with no units. Proportion Equation stating two ratios are equal: a : b = c : d or a : b :: c : d. Shows relationship between four quantities. Understanding Ratios Key Components In the ratio a : b : a is the antecedent b is the consequent No units attached Compares same kind quantities Example The ratio 5 : 9 represents 5/9 Antecedent = 5, Consequent = 9 Equivalent ratios: 5:9 = 10:18 = 15:27 Important Properties of Ratio Multiplication & Division Property A ratio remains unchanged if both antecedent and consequent are multiplied or divided by the same non-zero number. Comparison Property Two ratios in fraction notation can be compared just as we compare real numbers. Componendo and Dividendo Rule A powerful technique for manipulating proportions to solve complex ratio problems efficiently. Equality Property If two ratios a/b and c/d are equal, then their cross products are equal: ad = bc Types of Ratios 1 Compounded Ratio The compounded ratio of (a : b), (c : d), (e : f) is (ace : bdf) 2 Duplicate Ratio Duplicate ratio of (a : b) is (a² : b²) Sub-duplicate: (:a : :b) 3 Triplicate Ratio Triplicate ratio of (a : b) is (a³ : b³) Sub-triplicate: (a^(1/3) : b^(1/3)) Understanding Proportions The equality of two ratios is called proportion. If a/b = c/d, then a, b, c, d are in proportion, written as a : b :: c : d Extremes In a : b :: c : d , the terms a and d are called extremes Means The terms b and c are called mean terms Fundamental Rule Product of means = Product of extremes b × c = a × d Properties of Proportion Product Rule Product of extremes = product of means, therefore ad = bc Continued Proportion When a : b = b : c , the quantities form a continued proportion Mean Proportional If a : b = b : c , then b² = a × c b is the mean proportional Third Proportional If a : b = b : c , then c is the third proportional to a and b Fourth Proportional If a : b = c : d , then d is the fourth proportional to a, b, and c Variations Direct: a = kb (a ? b). Inverse: ab = k (a ? 1/b) Ratio vs Proportion Important Tricks Master these concepts to excel in SSC CGL quantitative aptitude! Ratio and proportion form the foundation for solving complex problems in percentages, mixtures, time-speed- distance, and more.Read More
FAQs on Infographics: Ratio and Proportion
| 1. What is the definition of ratio in mathematics? |  |
Ans. In mathematics, a ratio is a relationship between two numbers indicating how many times the first number contains the second. It is often expressed in the form of "a:b" where 'a' and 'b' are the two quantities being compared.
| 2. How do you simplify a ratio? | |
Ans. To simplify a ratio, divide both terms of the ratio by their greatest common divisor (GCD). For example, the ratio 8:12 can be simplified by dividing both 8 and 12 by their GCD, which is 4, resulting in the simplified ratio 2:3.
| 3. What is the difference between direct and inverse proportions? | |
Ans. Direct proportion refers to a relationship where an increase in one quantity leads to a proportional increase in another quantity (e.g., if x increases, y also increases). Inverse proportion, on the other hand, occurs when an increase in one quantity results in a proportional decrease in another quantity (e.g., if x increases, y decreases).
| 4. How are ratios used in real-life situations? | |
Ans. Ratios are commonly used in various real-life situations such as cooking, where ingredients are mixed in specific proportions, in finance to compare earnings or expenses, and in map reading to understand scale. They help in making informed decisions based on comparisons of quantities.
| 5. What are some common methods for solving problems involving proportions? | |
Ans. Common methods for solving problems involving proportions include cross-multiplication, where the product of the means equals the product of the extremes, and the unitary method, which involves finding the value of one unit before scaling up to find the value of multiple units. These methods help in determining unknown quantities in proportion problems.
About this Document
4.68/5 Rating
Apr 21, 2026 Last updated
Related Exams
Document Description: Infographics: Ratio and Proportion for SSC CGL 2026 is part of Quantitative Aptitude for SSC CGL preparation. The notes and questions for Infographics: Ratio and Proportion have been prepared according to the SSC CGL exam syllabus. Information about Infographics: Ratio and Proportion covers topics like and Infographics: Ratio and Proportion Example, for SSC CGL 2026 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Infographics: Ratio and Proportion.
Introduction of Infographics: Ratio and Proportion in English is available as part of our Quantitative Aptitude for SSC CGL for SSC CGL & Infographics: Ratio and Proportion in Hindi for Quantitative Aptitude for SSC CGL course. Download more important topics related with notes, lectures and mock test series for SSC CGL Exam by signing up for free. SSC CGL: Infographics: Ratio and Proportion
Description
Infographics: Ratio & Proportion of Quant Aptitude provides you one-page visual summary of the chapter covering all the important topics. Download the PDF from EduRev.
Information about Infographics: Ratio and Proportion
In this doc you can find the meaning of Infographics: Ratio and Proportion defined & explained in the simplest way possible. Besides explaining types of Infographics: Ratio and Proportion theory, EduRev gives you an ample number of questions to practice Infographics: Ratio and Proportion tests, examples and also practice SSC CGL tests
Related Searches
Free, Previous Year Questions with Solutions, ppt, Sample Paper, Objective type Questions, Infographics: Ratio and Proportion, Semester Notes, Viva Questions, Infographics: Ratio and Proportion, past year papers, Summary, Important questions, Extra Questions, pdf , video lectures, practice quizzes, mock tests for examination, shortcuts and tricks, Exam, study material, Infographics: Ratio and Proportion, MCQs;