Simple Interest Important Practice Questions (Set 2)

Duration: 11 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 is a lecture on simple and compound interest, presented by an instructor named Yash Jain. The video begins with an introductory slide defining the topic, followed by a segment featuring a woman, Janvi Kapoor, who is used as a character in the problems. The main content consists of three worked examples. The first problem asks for the total amount to be returned after 2.5 years on a principal of Rs. 8500 at 9% simple interest, which is solved by calculating the interest for 2 years (18%) and 0.5 years (4.5%), totaling 22.5%, and then adding it to the principal. The second problem involves two equal amounts borrowed for 4 and 5 years at 7.5% per annum, with a difference in interest of Rs. 150; the solution uses the formula for simple interest to find the principal. The third problem states that investing for 6 years instead of 4 years yields Rs. 5015 more interest, and the rate is found by setting up an equation for the difference in interest. 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 for a lesson on 'Simple and Compound Interest'. This is followed by a segment featuring a woman, Janvi Kapoor, who is the subject of the problems. The instructor, Yash Jain, is visible in a small window, introducing the topic. The on-screen text includes the title 'Simple Interest and Compound Interest' and the name 'YASH JAIN'. The instructor's name, 'YASH JAIN SIR', and his title, 'KNOWLEDGE GATE EDUCATOR', are also displayed. The background is a split screen with a house made of a dollar bill and stacks of coins on the left, and a colorful, patterned background with the instructor on the right.

  2. 2:00 – 5:00 02:00-05:00

    The video transitions to the first problem. The on-screen text displays the question: 'Q: Janvi Kapoor borrows Rs.8500 on simple interest at the rate of 9% per annum. What amount will she have to return after 2 and half years?'. The options are listed as (a) Rs. 10412.50, (b) Rs. 11412.50, (c) Rs. 12412.50, (d) Rs. 13412.50. The instructor begins to solve the problem by writing the formula for simple interest, SI = (P * R * T) / 100, on the screen. He calculates the interest for 2 years as 18% of 8500 and for 0.5 years as 4.5% of 8500, summing them to 22.5% of 8500. He then calculates the total interest as Rs. 1912.5 and adds it to the principal to get the final amount of Rs. 10412.50, which corresponds to option (a).

  3. 5:00 – 10:00 05:00-10:00

    The video presents the second problem. The on-screen text reads: 'Q: Two equal amount A and B are given on borrow at the rate of 7.5% per annum for 4 years and 5 years respectively. If the difference of simple interest received by them is Rs. 150. Find the amount?'. The options are (a) Rs.500, (b) Rs.1000, (c) Rs.2000, (d) Rs.3000. The instructor sets up the equation for the difference in interest: SI2 - SI1 = 150. He substitutes the values into the formula: (P * 7.5 * 5) / 100 - (P * 7.5 * 4) / 100 = 150. This simplifies to (37.5P - 30P) / 100 = 150, which becomes 7.5P / 100 = 150. Solving for P, he finds P = 2000. The correct answer is (c) Rs.2000. The third problem is then introduced, stating: 'Q: Arun invested a sum of money on simple interest for 4 years at a definite rate of interest. If he invested the same amount for 6 years then he will receive 5015 more interest than before. What is the rate of interest?'. The options are (a) 4%, (b) 6%, (c) 8%, (d) Cannot be determined, (e) None of these. The instructor sets up the equation: SI2 - SI1 = 5015, which becomes (P * R * 6) / 100 - (P * R * 4) / 100 = 5015. This simplifies to (6PR - 4PR) / 100 = 5015, or 2PR / 100 = 5015. He then states that the rate cannot be determined without knowing the principal amount, so the answer is (d) Cannot be determined.

  4. 10:00 – 11:20 10:00-11:20

    The video concludes with a final screen. The text on the screen reads 'THANKYOU FOR WATCHING' in large, stylized font. The background is a dark, solid color. This screen serves as an outro, signaling the end of the lecture.

The video provides a structured, step-by-step tutorial on solving simple interest problems. It begins with an introduction to the topic, then uses a narrative context with a character named Janvi Kapoor to frame the problems. The core of the video is the application of the simple interest formula, SI = (P * R * T) / 100, to three distinct scenarios. The first problem demonstrates calculating the total amount for a non-integer time period by breaking it into parts. The second problem shows how to find the principal when the difference in interest for different time periods is known. The third problem illustrates a scenario where the rate cannot be determined due to insufficient information. The progression moves from basic calculation to more complex problem-solving, reinforcing the core formula through multiple examples.

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