Short Trick to Find Compound Interest in just 10 Seconds

Duration: 12 min

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Module outline

  1. Course Overview: About the Course
  2. Paper - 1 | Unit - 1 | Teaching Aptitude: Nature, Objectives & Characteristics of Teaching, Learners & Learning Process, Factors Affecting Teaching, Methods of Teaching, Teaching-Learning Aids & ICT Integration, Evaluation, Assessment & Measurement
  3. Paper - 1 | Unit - 2 | Research Aptitude: Introduction to Research, Validity & Reliability, Research Paradigms & Types of Research, Research Process Steps, Research Ethics, Writing & Publication
  4. Paper - 1 | Unit - 3 | Comprehension: Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions)
  5. Paper - 1 | Unit - 4 | Communication: Communication Basics, Language and Semiotics, Types of Communication, Communication Models, Mass Communication, Mass Media, Journalism, General Knowledge and General Studies related to Communication
  6. Paper - 1 | Unit - 5 | Mathematical Reasoning and Aptitude: Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Number System, Percentage, Ratio and Proportion (Ratios), Simple Interest and Compound Interest, Speed Time and Distance, Powers and Exponents (Surds and Indices), Profit and Loss, Average, Blood Relations, Directions (Direction Test), Analytical Reasoning (Counting Figures Reasoning), Verbal Analogy (Word Based Analogy), Divisibility Rules, Calendar, Miscellaneous, Time and Work, Algebra
  7. Paper - 1 | Unit - 6 | Logical Reasoning: Syllogisms, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Venn Diagram, School Of Thoughts, Fallacy, Western Logic
  8. Paper - 1 | Unit - 7 | Data Interpretation: Data Interpretation
  9. Paper - 1 | Unit - 8 | Information and Communication Technology: MS Office Applications, Cyber Threats and Malware Attacks, Role of Internet and Web Services, Electronic Data Interchange and E-Commerce, Internet Fundamentals, Web Design & Development, Web Publishing & Hosting, Emerging Technologies, Terms & Abbreviations, Artificial Intelligence, Society, Law & Ethics, Keyboard Shortcuts, Website, Browser & Services
  10. Paper - 1 | Unit - 9 | People Development and Environment: Ecosystem, Biomes & Environmental Issues, MDG & SDG, Air Pollution, Water Pollution, Soil, Noise Pollution and Waste Management, Natural Resources, Energy & Disaster Management, Global Environmental Conventions – COP, Protocols & ISA
  11. Paper - 1 | Unit - 10 | Higher Education System: Vedic Education, Jainism & Buddhism, Ancient Universities, Pre-Independence Commissions, Post-Independence Policy, Higher Education Structure & Accreditation, Universities & Learning Programmes, Types of Education & NEP 2020
  12. Paper 2 | Unit 1 | Discrete Structures and Optimization: Propositional and Predicate Logic, Set Theory, Relations, Functions, Permutation and Combination, Probability, Graph Theory, Group Theory, Digital Systems & Boolean Basics, Boolean Expression, Boolean Minimization, Optimization
  13. Paper 2 | Unit 2 | Computer System Architecture: Logic Gates & Hardware, Combinational Circuit, Sequential Circuits, Number System, Number Representation, Floating Point Rep, Basics of COA, Register Transfer and Microoperations, Programming the Basic Computer, Instr Formats & Modes, Control Unit Design, Pipelining, Input Output Organisation, Cache Memory Organization, Multiprocessors
  14. Paper 2 | Unit 3 | Programming Languages and Computer Graphics: Language Design, C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling, HTML Basics, XML, JavaScript-Basics, Java, Basics of Computer Graphics, 2-D Geometrical Transforms and Viewing, 3-D Object Representation, Geometric Transformations and Viewing, OOPS with C++, Java Fundamentals
  15. Paper 2 | Unit 4 | Database Management Systems: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, File Organization & Indexing, Relational Algebra, SQL, Relational Calculus, Transaction Management, Concurrency Control, Database Recovery, ORDBMS, Database Security & Authorization, Query Processing & Optimization, Enhanced Data Models, Data Warehousing & Mining, Big Data Systems, NoSQL
  16. Paper 2 | Unit 5 | System Software and Operating System: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory, Disc Scheduling, File Management, Windows OS, Linux OS, Security, Distributed Systems, Virtual Machines
  17. Paper 2 | Unit 6 | Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
  18. Paper 2 | Unit 7 | Data Structures and Algorithms: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing, Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Greedy Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos, Advanced Algorithms
  19. Paper 2 | Unit 8 | Theory of Computation and Compilers: Introduction to TOC, Deterministic FA (DFA), Non-Deterministic FA, Regular Expressions, Grammar, Regular Language Properties, Moore & Mealy Machines, Pushdown Automata & CFG, Turing Machines, Complexity Theory, Intro to Compilers, Lexical Analysis, Grammar & CFG, Syntax Analysis: Top-Down, Syntax Analysis: Bottom-Up, Semantic Analysis & SDT, Intermediate Code Gen, Code Optimization, Run Time Environment
  20. Paper 2 | Unit 9 | Data Communication and Computer Networks: Introduction to CN, Data Communication, DLL: Access Control, DLL: Flow Control, DLL: Error Control, DLL: Framing, Data Link Layer - Ethernet, Net Layer: IPv4 & Proto, Net Layer: IP Addressing, Net Layer:Routing Protocol, Transport Layer Services, TL: Congestion & UDP, Application Layer, Hardware basics, Network Security, Mobile Technology, Cloud Computing and IoT, Cloud Computing
  21. Paper 2 | Unit 10 | Artificial Intelligence: Approaches to AI, Search Algorithms, Game Playing, Knowledge Representation, Planning, Multi Agent Systems, Fuzzy Sets, Natural Language Processing, Artificial Neural Networks, Genetic Algorithms
  22. Live Classes: NTA UGC NET 2025 Live Class
  23. Paper 1 | Full Mock Tests:
  24. Paper 2 | Full Mock Tests:
  25. Paper 1 | Previous Year Papers:
  26. Paper 2 | Previous Year Papers:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video, presented by Yash Jain from Knowledge Gate, provides a comprehensive lesson on the concepts of simple and compound interest. The video begins with an introduction to the topic, using visual aids like stacks of coins and a house made of dollar bills to represent financial growth. The instructor then transitions to a whiteboard to explain the fundamental concepts. He starts with a basic example of Rs 100 at a 10% interest rate for 1 year, demonstrating that simple interest (SI) and compound interest (CI) are equal in the first year. He then extends this to 2 years, showing that CI for the second year is calculated on the new principal (Rs 110), resulting in a total CI of Rs 21, which is more than the Rs 20 simple interest. The video progresses to a 3-year example, where the CI is calculated as Rs 33.1, and the 4th year's interest is shown to be Rs 4.641, illustrating the compounding effect. The final segment presents a practical problem: calculating the compound interest on Rs 45,000 at 10% per annum for 2 years. The instructor applies the formula A = P(1 + R/100)^T, breaking down the calculation step-by-step to find the amount (Rs 54,450) and the interest (Rs 9,450). The video concludes with a 'Thank You' screen.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with a title slide featuring the text 'SIMPLE AND COMPOUND INTEREST' over an image of a rising graph and stacks of coins. The scene then transitions to the instructor, Yash Jain, who is introduced as a Knowledge Gate educator. He stands in front of a background with financial imagery, including a house made of dollar bills and stacks of coins. On-screen text identifies the topic as 'Simple Interest and Compound Interest' and the course as 'Basic To Advance'. The instructor begins his lecture, explaining the fundamental concepts of interest.

  2. 2:00 – 5:00 02:00-05:00

    The instructor moves to a whiteboard with the heading 'Basic Concepts'. He begins a worked example, writing 'Rs 100 10% 1 year' on the board. He explains that for the first year, simple interest (SI) and compound interest (CI) are the same. He writes the formula 'SI = CI' and calculates the interest as 'SI = Rs 10'. He then updates the example to '2 years', writing '1st → 10' and '2nd → 10+1 = 11', showing that the interest for the second year is calculated on the new principal of Rs 110, leading to a total CI of Rs 21. He also writes '2yrs → 2:1' to illustrate the ratio of interest for the first and second years.

  3. 5:00 – 10:00 05:00-10:00

    The instructor continues the example on the whiteboard, extending it to 3 years. He writes '3yrs → 33.1', showing the cumulative compound interest. He then calculates the interest for the 4th year, writing '4th year → 10 + 3.31 = 13.31', and notes that the interest for the 4th year is Rs 4.641. He uses the ratio '4yrs → 4:6:4:1' to demonstrate a pattern in the interest calculation. The instructor then transitions to a new problem, writing 'Q: What will be the compound interest on Rs 45000 at the rate of 10% per annum for 2 years?' on the board.

  4. 10:00 – 12:09 10:00-12:09

    The instructor solves the problem on the whiteboard. He writes the compound interest formula: 'A = P(1 + R/100)^T'. He substitutes the values: 'A = 45000(1 + 10/100)^2'. He simplifies this to 'A = 45000(11/10)^2', then to 'A = 45000 x 121/100'. He calculates the amount as 'A = 450 x 121 = 54450'. Finally, he calculates the compound interest as 'CI = A - P = 54450 - 45000 = 9450'. The video ends with a 'THANK YOU FOR WATCHING' screen.

The video provides a clear, step-by-step explanation of simple and compound interest, starting from basic principles and progressing to practical calculations. The instructor effectively uses a combination of visual aids and a whiteboard to demonstrate the key difference between the two concepts: simple interest is calculated only on the original principal, while compound interest is calculated on the accumulated amount, leading to exponential growth. The lesson is structured to build understanding incrementally, from a 1-year example to a multi-year problem, and culminates in a real-world application, making the concepts accessible and easy to apply.

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