Questions on Principal Money Divided into Parts

Duration: 12 min

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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, Internet of Things
  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. It then proceeds to solve three distinct word problems. The first problem involves dividing a sum of Rs. 4000 into two parts to be invested at 3% and 5% simple interest, with a total interest of Rs. 144. The instructor sets up the equation P(3/100) + (4000-P)(5/100) = 144 and solves for P, finding the two parts to be Rs. 2800 and Rs. 1200. The second problem asks to divide Rs. 3600 into two parts such that the simple interest on the first part at 5% for 3 years equals the interest on the second part at 6.25% for 4 years. The instructor sets up the equation (P*5*3)/100 = ((3600-P)*6.25*4)/100 and solves for P, finding the parts to be Rs. 2250 and Rs. 1350. The third problem involves a merchant lending Rs. 4000, with one part at 10% and the other at 12% simple interest for 3 years, resulting in a total amount of Rs. 5350. The instructor sets up the equation 4000 + (P*10*3)/100 + ((4000-P)*12*3)/100 = 5350 and solves for P, finding the amount given at 10% to be Rs. 2500. 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'. The instructor, Yash Jain, appears in a smaller window and introduces the topic. The first problem is presented on screen: 'A sum of rupees 4000 is divided into two parts such that if one part is invested at the rate of 3% and the other part at the rate of 5% and at the end of the year rupees 144 is collected as the total interest from both portions. Find each part?'. The instructor begins to solve this by setting up variables, letting the first part be P and the second part be 4000-P.

  2. 2:00 – 5:00 02:00-05:00

    The instructor continues to solve the first problem. He writes the formula for simple interest, SI = (PRT)/100, and applies it to both parts. He writes the equation: (P * 3 * 1)/100 + ((4000 - P) * 5 * 1)/100 = 144. He simplifies this to (3P + 20000 - 5P)/100 = 144, which becomes (20000 - 2P)/100 = 144. He then multiplies both sides by 100 to get 20000 - 2P = 14400. He solves for P, finding 2P = 5600, so P = 2800. The two parts are Rs. 2800 and Rs. 1200.

  3. 5:00 – 10:00 05:00-10:00

    The video transitions to the second problem: 'A sum of Rs. 3600 is divided into two parts such that the simple interest on first part at the rate of 5% per annum for 3 years and the other part at the rate of 6.25% per annum for 4 years is equal. These parts are:'. The instructor sets up the equation: (P * 5 * 3)/100 = ((3600 - P) * 6.25 * 4)/100. He simplifies this to 15P/100 = (90000 - 25P)/100. He multiplies both sides by 100 to get 15P = 90000 - 25P. He combines like terms to get 40P = 90000, so P = 2250. The two parts are Rs. 2250 and Rs. 1350.

  4. 10:00 – 11:45 10:00-11:45

    The third problem is presented: 'A merchant gives Rs. 4000 to a man on borrow for 3 years. On this, there is an interest of 10% per annum on one part and on the remaining part there is an interest of 12% per annum. After 3 years, the merchant received Rs. 5350. Find the amount given at 10%?'. The instructor sets up the equation for the total amount: 4000 + (P * 10 * 3)/100 + ((4000 - P) * 12 * 3)/100 = 5350. He simplifies this to 4000 + 30P/100 + (144000 - 36P)/100 = 5350. He combines terms to get 4000 + (144000 - 6P)/100 = 5350. He solves for P, finding P = 2500. The video ends with a 'Thank You for Watching' screen.

The video provides a clear, step-by-step demonstration of solving three different types of simple interest problems. It begins with a basic problem of finding two parts of a sum based on total interest, then moves to a problem where the interests are equal, and finally to a problem where the total amount (principal + interest) is given. The instructor consistently uses the formula SI = (PRT)/100 and demonstrates how to set up and solve linear equations to find the unknown principal amounts. The progression builds from a simple two-variable setup to more complex scenarios, reinforcing the core concept of simple interest calculation.

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