Demo: What is Ratio & Proportion, Definition & Examples

Duration: 12 min

This video lesson is available to enrolled students.

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Inside: a video lesson and guided study material.

Module outline

  1. About the Course: About the Course
  2. Paper-1 & 2 | Basic Numeracy: अनुपात और समानुपात / Ratio and Proportion, Divisibility Rules, मिश्रण और एलिगेशन / Mixture and Alligation, Permutation and Combination, Logarithm, संख्या पद्धति / Number System, महत्तम समापवर्तक और लघुत्तम समापवर्त्य / HCF and LCM, Sequence and Series (Series), समय, चाल और दूरी / Time, Speed and Distance, प्रतिशत / Percentage, औसत / Average, घन क्षेत्रमिति / Solid Mensuration, Age Problems, Arithmetic, Statistics, Probability, लाभ, हानि और बट्टा / Profit, Loss and Discount, साधारण और चक्रवृद्धि ब्याज / Simple and Compound Interest, Partnership, Speed Mathematics and Basic Mathematics, Algebra, सरलीकरण, घातांक और करणी / Simplification, Indices and Surds, समय और कार्य / Time and Work, Pipe and Cistern, RSSB Specific Videos - Basic Numeracy, समुच्चय, संबंध, फलन और विविक्त गणित / Sets, Relations, Functions and Discrete Mathematics, संख्या पद्धति और संख्या सिद्धांत / Number Systems and Number Theory, निर्देशांक ज्यामिति, सदिश और त्रिविमीय ज्यामिति / Coordinate Geometry, Vectors and 3D Geometry, बहुपद, समीकरण और सम्मिश्र संख्याएँ / Polynomials, Equations and Complex Numbers
  3. Paper-1 & 2 | Data Interpretation: आँकड़ा निर्वचन / Data Interpretation
  4. Paper-1 & 2 | General Mental Ability: Mental Ability, RSSB Specific Videos - Mental Ability
  5. Paper-1 & 2 | Logical Reasoning and Analytical Ability: श्रेणी / Series, कूट लेखन एवं कूट वाचन / Coding-Decoding, Data Sufficiency, अशाब्दिक तर्क / Non-Verbal Reasoning, Syllogisms, बैठक व्यवस्था एवं पहेलियाँ / Seating Arrangement and Puzzles, रक्त संबंध / Blood Relations, दिशा एवं दूरी / Direction and Distance, Analytical Reasoning (Counting Figures Reasoning), गणितीय संक्रियाएँ एवं लुप्त संख्या / Mathematical Operations and Missing Numbers, कैलेंडर एवं घड़ी / Calendar and Clock, Clock, घन, पासा एवं आकृतियों की गिनती / Cubes, Dice and Figure Counting, वेन आरेख, न्याय वाक्य एवं असमानता / Venn Diagrams, Syllogism and Inequalities, सादृश्यता एवं वर्गीकरण / Analogy and Classification, क्रम एवं रैंकिंग / Order and Ranking, कथन आधारित तार्किक विवेचन / Statement-Based Reasoning, Data Arrangement, वर्णमाला एवं संख्या परीक्षण / Alphabet and Number Test, Crypt Arithmetic
  6. Paper-1 & 2 | Decision Making and Problem Solving: आँकड़ों की पर्याप्तता एवं निर्णय क्षमता / Data Sufficiency and Decision Making
  7. Paper-1 | General Science: वैज्ञानिक उपलब्धियाँ और अनुसंधान / Scientific Achievements and Research, Biology, Chemistry, RSSB Specific Videos
  8. Paper-1 | General Awareness: राज्य विशेष सामान्य ज्ञान / State-Specific General Knowledge, समसामयिकी / Current Affairs
  9. Paper - 2 | Digital Logic Systems: Digital Systems & Boolean Basics, Logic Gates & Hardware, Combinational Circuit, Sequential Circuits
  10. Paper-2 | Database Management System: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, Relational Calculus, Relational Algebra, SQL, NoSQL
  11. Paper-2 | Data Structures & Algorithms: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Algorithm Analysis, Sorting Algorithms, Intro to Compilers, Hashing
  12. Paper 2 | Data Communication and Network Security: Introduction to CN, Data Communication, Data Link Layer - Ethernet, DLL: Error Control, Net Layer: IPv4 & Proto, Net Layer: IP Addressing, Application Layer, Hardware basics, Network Security, Ethical Hacking
  13. Paper-2 | Operating Systems: Introduction to OS, Process Management, Memory Management, File Management, Deadlock
  14. Paper-2 | Computer Organization and Architecture: Basics of COA, Floating Point Rep, Cache Memory Organization, Input Output Organisation, Instr Formats & Modes, Control Unit Design, Register Transfer and Microoperations, Programming the Basic Computer, Number System, Number Representation
  15. Paper 2 | System Analysis and Design: Fundamentals of Systems and Information Systems, Fundamentals of Software Engineering, SDLC and Development Approaches, Software Documentation and Software Requirements Specification (SRS), SDD and Quality Assurance, Security, Risk Management & Maintenance, Software Testing
  16. Paper-2 | C Programming: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  17. Paper 2 | OOPS , C++ , JAVA: Language Design, OOPS with C++, Java, .Net Programming, Java Fundamentals
  18. Paper 2 | Python: Introduction to Python, Tokens, Variables, Data Types, I/O, Operators & Expressions, Control Flow & Looping, Collections & Strings, Functions & Modules, File Handling & Data Analysis
  19. Emerging Trends and AI: Emerging Tech Trends, कंप्यूटर के मूल सिद्धांत / Computer Fundamentals, व्यापार, विपणन एवं उपभोक्ता संरक्षण / Trade, Marketing and Consumer Protection
  20. Paper-2 | Data Processing (Ms-Office): MS Office Applications, कंप्यूटर सॉफ़्टवेयर / Computer Software, ऑपरेटिंग सिस्टम / Operating System, वर्ड प्रोसेसिंग (MS Word) / Word Processing (MS Word), प्रेज़ेंटेशन (MS PowerPoint) / Presentation Software (MS PowerPoint)
  21. Paper-2 | Internet and Web Technologies: HTML Basics, CSS, XML, JavaScript-Basics, Internet Fundamentals, Protocols & Services, Web Publishing & Hosting, Server Side & Security, Emerging Technologies, Terms & Abbreviations, Cyber Threats and Malware Attacks, Role of Internet and Web Services, Security in Mobile and Wireless Computing, साइबर सुरक्षा / Cyber Safety and Security, कंप्यूटर नेटवर्क / Computer Networks
  22. Paper 2 | Pedagogy: वृद्धि और विकास / Growth and Development, विकास के सिद्धांत / Theories of Development, Concept of Pedagogy, समावेशी शिक्षा / Inclusive Education, Experiential Pedagogy, आकलन और मूल्यांकन / Assessment and Evaluation, संज्ञानात्मक प्रक्रियाएँ / Cognitive Processes, समाजीकरण और जेंडर / Socialisation and Gender, National Education Policy (NEP) 2020
  23. Live Classes: RSSB Live Sessions
  24. Paper 1 - Full Mock Tests:
  25. Paper 2 - Full Mock Tests:
  26. BCI Previous Year Papers:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video provides a foundational introduction to the mathematical concepts of ratio and proportion. The lesson begins by defining a ratio as a comparison of two or more quantities in terms of 'how many times' one quantity equals another. The instructor emphasizes that ratios must compare quantities of the same kind and unit, such as comparing apples to apples or kilograms to kilograms. The video demonstrates three distinct notations for ratios: the colon form (a:b), the word form ('a to b'), and the fractional form (a/b). Key terminology is introduced, identifying the first term as the antecedent and the second term as the consequent. The lesson then transitions to proportion, defined as an equation stating that two ratios are equivalent. Using visual examples like cookie packages and cost comparisons, the instructor illustrates how to identify proportions using the double colon symbol (::) and explains the roles of extreme and mean terms within a proportion.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with a title slide for "RATIO & PROPORTION" featuring an inset whiteboard explaining that a ratio is "a comparison of 2 quantities." The graphic uses colored dots to demonstrate parts and wholes, noting that ratios "Can be written 3 ways: colon, word, or fraction form." The presenter gestures towards the screen while breaking down specific counts like "1:2" and "3 to 11." The scene then transitions to a new slide titled "DEFINITION OF RATIO" against a pink background with space doodles. The instructor defines a ratio as the comparison of two or more numbers in terms of 'how many times' and emphasizes that ratios compare quantities of the same kind using division. The instructor annotates the slide to highlight 'two or more numbers' and adds a handwritten note specifying 'min 2 term'. He also writes examples showing the relationship between fractions and ratios, such as a/b = 1/2 or a:b = 1:2.

  2. 2:00 – 5:00 02:00-05:00

    The instructor continues defining the concept of a ratio as a comparison of two or more numbers in terms of 'how many times' one quantity is equal to another. The lesson emphasizes that ratios compare quantities of the same kind using division and requires the numbers to have the same unit. The instructor uses handwritten examples like 'a:b = 1:2' and 'a:b:c = 1:2:3' to illustrate the notation and relationships between terms. He writes 'b=2a' to demonstrate a specific ratio relationship. The instructor defines a ratio as the comparison of two or more numbers in terms of 'how many times' one quantity is equal to another. He emphasizes that quantities must be of the same kind and have the same unit for comparison, using handwritten examples like distance (d) and time (t). The lesson progresses to show valid ratios with matching units versus invalid ones, such as comparing speed (s) directly to distance (d). Finally, the mathematical representation of a ratio is introduced as a fraction (a:b = 1/2).

  3. 5:00 – 10:00 05:00-10:00

    The lesson defines a ratio as the comparison of two or more numbers in terms of 'how many times' one quantity is equal to another. It explains that ratios can be written as fractions (e.g., 2/5), using the word 'to' (e.g., 2 to 5), or with a colon (e.g., 2:5). The instructor highlights that the first term is called the antecedent and the second term is the consequent, emphasizing that comparisons must be made between items of the same kind. The video transitions from a specific word problem comparing the cost of apples and lemons to defining the mathematical concept of proportion. The instructor explains that a proportion is an equation stating two ratios are equivalent, using the example of cookie mix packages to illustrate this relationship. Visual aids include handwritten notes showing how ratios like 20/1 and 40/2 are equivalent, denoted by the double colon symbol (::).

  4. 10:00 – 11:45 10:00-11:45

    The video segment defines a proportion as an equation stating that two ratios are equivalent, using the example of cookie mix packages. It introduces the notation for proportions (x:y :: z:w) and explains how to read them as 'x is to y as z is to w'. The lesson further breaks down the components of a proportion, identifying x and w as extreme proportions and y and z as mean proportions. The instructor underlines key terms like 'two ratios are equivalent' and circles variables in the fraction form x/y = z/w. The text on screen clarifies that 'x is first proportion, y is second proportion, z is third proportion, w is fourth proportion.' The segment concludes by reinforcing the structure of a proportion equation where y and w are non-zero.

The lecture systematically builds the concept of ratio from basic definition to notation, then extends it into proportion. The core pedagogical strategy involves contrasting valid and invalid comparisons to enforce the rule of 'same kind' units. The instructor uses consistent visual cues, such as checkmarks for valid ratios and crosses for invalid ones, to reinforce this constraint. The transition from ratio to proportion is marked by the introduction of equivalence and the double colon symbol. Key formulas like a/b = z/w are presented alongside verbal translations to aid comprehension.

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