Short Trick for Questions on Variable Rate of Interest

Duration: 10 min

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Inside: a video lesson and guided study material.

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 is a lecture on simple and compound interest, presented by an instructor named Yash Jain. The video begins with an introductory title slide featuring a graph and a house made of a dollar bill, setting the theme of financial growth. The main content consists of two worked examples. The first problem involves calculating the total simple interest on an investment of Rs. 20,000 over 8 years with varying interest rates: 15% for the first 3 years, 10% for the next 3 years, and 5% for the final 2 years. The instructor demonstrates the calculation by breaking it into three parts and summing the results, arriving at a total interest of Rs. 17,000. The second problem asks for the principal amount invested if the total simple interest over 6 years is Rs. 4,800, with interest rates of 8% for the first 3 years, 6% for the next 2 years, and 4% for the last year. The instructor uses the formula for total simple interest, SI = P/100 * (R1T1 + R2T2 + R3T3), to solve for the principal, which is found to be Rs. 12,000. The video concludes with a 'Thank You for Watching' screen.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with a title slide for a lesson on 'Simple and Compound Interest'. The slide features a graph with a rising orange line, a row of gold coins, and a house made from a folded one-dollar bill, symbolizing financial growth. The instructor, Yash Jain, appears in a small window on the right, introducing the topic. The text on the slide also indicates the lesson is from 'Knowledge Gate Educator' and covers the topic from 'Basic To Advance'. The instructor is seen speaking and gesturing, setting the stage for the lesson.

  2. 2:00 – 5:00 02:00-05:00

    The video transitions to a new scene with a clip from a TV show, featuring a man and a woman in traditional Indian attire, which appears to be a humorous interlude. The instructor continues to speak from the bottom right corner. This is followed by a clip of a man speaking at a podium with a political party symbol, another interlude. The main lesson then begins with a problem displayed on a yellow background: 'Q: Jethalal invests Rs. 20,000 for 8 years on simple interest. The ratio of interest for first 3 years is 15% p.a., for next 3 years is 10% p.a. & for next 2 years is 5% p.a. Find the interest he receives after 8 years?'. The instructor begins to solve this problem.

  3. 5:00 – 10:00 05:00-10:00

    The instructor solves the first problem on a digital whiteboard. He writes the formula for simple interest, SI = P*R*T/100, and applies it to the three different time periods. The calculations are shown step-by-step: SI for first 3 years = (20000 * 15 * 3) / 100 = 9000, SI for next 3 years = (20000 * 10 * 3) / 100 = 6000, and SI for last 2 years = (20000 * 5 * 2) / 100 = 2000. He then sums these to find the total interest: 9000 + 6000 + 2000 = 17000. The instructor then moves to the second problem: 'Q: A sum of money invested for 6 years yields 8% simple interest in first 3 years, 6% simple interest in next 2 years and 4% simple interest in the last year. Find the amount invested if total interest received is Rs. 4800'. He writes the formula for total SI as P/100 * (R1T1 + R2T2 + R3T3) and substitutes the values: 4800 = P/100 * (8*3 + 6*2 + 4*1) = P/100 * 40. He solves for P, finding P = 12000.

  4. 10:00 – 10:17 10:00-10:17

    The video concludes with a final screen that displays the text 'THANK YOU FOR WATCHING' in large, stylized font against a black background. This is a standard closing slide for the educational content.

The video provides a clear, step-by-step tutorial on calculating simple interest for investments with variable interest rates over different time periods. It effectively uses a two-problem structure to demonstrate the core concept. The first problem illustrates how to calculate the total interest by summing the interest from each period, while the second problem shows how to find the principal amount when the total interest is known. The instructor's methodical approach, with clear on-screen writing of formulas and calculations, makes the mathematical process easy to follow. The video successfully connects the abstract concept of interest to real-world financial scenarios, as suggested by the initial imagery of a house and coins.

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