Simple Interest Important Practice Questions (Set 2)

Duration: 11 min

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Inside: a video lesson and guided study material.

Module outline

  1. About the course: About the Course
  2. Mathematical Aptitude: संख्या पद्धति / Number System, महत्तम समापवर्तक और लघुत्तम समापवर्त्य / HCF and LCM, Divisibility Rules, प्रतिशत / Percentage, अनुपात और समानुपात / Ratio and Proportion, औसत / Average, लाभ, हानि और बट्टा / Profit, Loss and Discount, समय और कार्य / Time and Work, घन क्षेत्रमिति / Solid Mensuration, साधारण और चक्रवृद्धि ब्याज / Simple and Compound Interest, समय, चाल और दूरी / Time, Speed and Distance, Age Problems, मिश्रण और एलिगेशन / Mixture and Alligation, Algebra, सरलीकरण, घातांक और करणी / Simplification, Indices and Surds, Pipe and Cistern, Trigonometry, Statistics, आँकड़ा निर्वचन / Data Interpretation, Arithmetic, 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. Logical Reasoning: श्रेणी / Series, कूट लेखन एवं कूट वाचन / Coding-Decoding, सादृश्यता एवं वर्गीकरण / Analogy and Classification, रक्त संबंध / Blood Relations, दिशा एवं दूरी / Direction and Distance, क्रम एवं रैंकिंग / Order and Ranking, अशाब्दिक तर्क / Non-Verbal Reasoning, बैठक व्यवस्था एवं पहेलियाँ / Seating Arrangement and Puzzles, Syllogisms, वेन आरेख, न्याय वाक्य एवं असमानता / Venn Diagrams, Syllogism and Inequalities, गणितीय संक्रियाएँ एवं लुप्त संख्या / Mathematical Operations and Missing Numbers, वर्णमाला एवं संख्या परीक्षण / Alphabet and Number Test, कथन आधारित तार्किक विवेचन / Statement-Based Reasoning, Analytical Reasoning (Counting Figures Reasoning), घन, पासा एवं आकृतियों की गिनती / Cubes, Dice and Figure Counting, कैलेंडर एवं घड़ी / Calendar and Clock, Clock
  4. General Knowledge: वैज्ञानिक उपलब्धियाँ और अनुसंधान / Scientific Achievements and Research, Chemistry, Biology, History, Geography, Polity, Indian Economy, समसामयिकी / Current Affairs, Static General Knowledge, राज्य विशेष सामान्य ज्ञान / State-Specific General Knowledge
  5. Art of Teaching: शिक्षण-अधिगम प्रक्रिया एवं कक्षा प्रबंधन / Teaching-Learning Process and Classroom Management, Learners & Learning Process, Factors Affecting Teaching, शिक्षण विधियाँ एवं उपागम / Teaching Methods and Approaches, सूक्ष्म शिक्षण एवं कक्षा संप्रेषण / Microteaching and Classroom Communication, शिक्षण सहायक सामग्री एवं शैक्षिक तकनीकी / Teaching Aids and Educational Technology, आकलन एवं मूल्यांकन / Assessment and Evaluation, शिक्षक: गुण, व्यावसायिक नैतिकता एवं विकास / Teacher: Qualities, Professional Ethics and Development, शैक्षिक नीतियाँ, अधिनियम एवं प्रशासन / Educational Policies, Acts and Administration, पाठ्यचर्या, कला एवं सह-शैक्षिक क्षेत्र / Curriculum, Arts and Co-curricular Areas, निर्देशन एवं परामर्श / Guidance and Counselling, दिव्यांग बच्चों की शिक्षा / Education of Children with Disabilities, Micro-Teaching & Teaching Skills, पाठ योजना / Lesson Planning
  6. Environmental Science: Environment
  7. Unit 1 | Digital Electronics: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation
  8. Unit 2 | COA: 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
  9. Unit 3 | C Programming: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  10. Unit 3 | Data Structures: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing
  11. Unit 4 | Algorithms: Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos, Advanced Algorithms
  12. Unit 5 | Operating System: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory, Disc Scheduling, File Management
  13. Unit 6 | Database Management System: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, File Organization & Indexing, Relational Algebra, SQL, Transaction Management, Concurrency Control
  14. Unit 7 | 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
  15. Unit 8 | Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
  16. Unit 9 | Object Oriented Programming: OOPS with C++
  17. Unit 10 | Web Development: HTML Basics, CSS, JavaScript-Basics, XML, Node.js, Git & Github, PHP
  18. Unit 11 | Theory Of Computation: Introduction to TOC, Deterministic FA (DFA), Non-Deterministic FA, Regular Expressions, Grammar, Regular Language Properties, Moore & Mealy Machines, Pushdown Automata & CFG, Turing Machines
  19. Unit 12 | IoT: Emerging Tech Trends, Cloud Computing, कंप्यूटर नेटवर्क / Computer Networks
  20. Unit 13 | Artificial Intelligence: Approaches to AI, Search Algorithms, Game Playing, Knowledge Representation, Natural Language Processing, Artificial Neural Networks, Genetic Algorithms
  21. Unit 14 | E-Commerce: Electronic Data Interchange and E-Commerce, Role of Internet and Web Services, Security in Mobile and Wireless Computing, Physical Security and Cryptography Basics, Cyber Safety and Security
  22. Unit 15 | Multimedia: Multimedia
  23. Unit 16 | Python: Introduction to Python, Tokens, Variables, Data Types, I/O, Operators & Expressions, Control Flow & Looping, Collections & Strings, Functions & Modules, File Handling & Data Analysis, DSA using Python
  24. Full Length Mock Tests — General Paper:
  25. Full Length Mock Tests — Computer Science (Paper II):
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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