Tricks & Questions on money becoming multiple times on SI

Duration: 13 min

This video lesson is available to enrolled students.

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Module outline

  1. About the Course: About the Course
  2. Paper-1 & 2 | Basic Numeracy / आधारभूत संख्यात्मक योग्यता: Ratio and Proportion / अनुपात और समानुपात, Divisibility Rules / विभाज्यता के नियम, Mixture and Alligation / मिश्रण और एलिगेशन, Permutation and Combination / क्रमचय और संचय, Logarithm / लघुगणक, Number System / संख्या पद्धति, HCF and LCM / महत्तम समापवर्तक और लघुत्तम समापवर्त्य, Sequences, Series and Combinatorics / अनुक्रम, श्रेणी और संयोजन, Time, Speed and Distance / समय, चाल और दूरी, Percentage / प्रतिशत, Average / औसत, Solid Mensuration / घन क्षेत्रमिति, Age Problems / आयु संबंधी प्रश्न, Arithmetic / अंकगणित, Statistics / सांख्यिकी, Probability / प्रायिकता, Profit, Loss and Discount / लाभ, हानि और बट्टा, Simple and Compound Interest / साधारण और चक्रवृद्धि ब्याज, Partnership / साझेदारी, Speed Mathematics and Basic Mathematics / द्रुत गणित और आधारभूत गणित, Algebra / बीजगणित, Simplification, Indices and Surds / सरलीकरण, घातांक और करणी, Time and Work / समय और कार्य, Pipe and Cistern / नल और टंकी, RSSB Specific Videos - Basic Numeracy / RSSB विशेष वीडियो - आधारभूत संख्यात्मक योग्यता, Sets, Relations, Functions and Discrete Mathematics / समुच्चय, संबंध, फलन और विविक्त गणित, Number Systems and Number Theory / संख्या पद्धति और संख्या सिद्धांत, Coordinate Geometry, Vectors and 3D Geometry / निर्देशांक ज्यामिति, सदिश और त्रिविमीय ज्यामिति, Polynomials, Equations and Complex Numbers / बहुपद, समीकरण और सम्मिश्र संख्याएँ
  3. Paper-1 & 2 | Data Interpretation / आँकड़ों की व्याख्या: Data Interpretation / आँकड़ा निर्वचन
  4. Paper-1 & 2 | General Mental Ability / सामान्य मानसिक योग्यता: Mental Ability / मानसिक योग्यता, RSSB Specific Videos - Mental Ability / RSSB विशेष वीडियो - मानसिक योग्यता
  5. Paper-1 & 2 | Logical Reasoning and Analytical Ability / तार्किक तर्कणा एवं विश्लेषणात्मक क्षमता: Series / श्रेणी, Coding-Decoding / कूट लेखन एवं कूट वाचन, Data Sufficiency / आँकड़ों की पर्याप्तता, Non-Verbal Reasoning / अशाब्दिक तर्क, Syllogisms / न्यायवाक्य, Seating Arrangement and Puzzles / बैठक व्यवस्था एवं पहेलियाँ, Blood Relations / रक्त संबंध, Direction and Distance / दिशा एवं दूरी, Analytical Reasoning (Counting Figures Reasoning) / विश्लेषणात्मक तर्क (आकृति गणना तर्क), Mathematical Operations and Missing Numbers / गणितीय संक्रियाएँ एवं लुप्त संख्या, Calendar and Clock / कैलेंडर एवं घड़ी, Clock / घड़ी, Cubes, Dice and Figure Counting / घन, पासा एवं आकृतियों की गिनती, Venn Diagrams, Syllogism and Inequalities / वेन आरेख, न्याय वाक्य एवं असमानता, Analogy and Classification / सादृश्यता एवं वर्गीकरण, Order and Ranking / क्रम एवं रैंकिंग, Statement-Based Reasoning / कथन आधारित तार्किक विवेचन, Data Arrangement / आँकड़ों की व्यवस्था, Alphabet and Number Test / वर्णमाला एवं संख्या परीक्षण, Crypt Arithmetic / कूट अंकगणित
  6. Paper-1 & 2 | Decision Making and Problem Solving / निर्णय लेना एवं समस्या समाधान: Data Sufficiency and Decision Making / आँकड़ों की पर्याप्तता एवं निर्णय क्षमता
  7. Paper-1 | General Science / सामान्य विज्ञान: Scientific Achievements and Research / वैज्ञानिक उपलब्धियाँ और अनुसंधान, Biology / जीव विज्ञान, Chemistry / रसायन विज्ञान, RSSB Specific Videos / RSSB विशेष वीडियो
  8. Paper-1 | General Awareness / सामान्य जागरूकता: State-Specific General Knowledge / राज्य विशेष सामान्य ज्ञान, Current Affairs / समसामयिकी
  9. Paper - 2 | Digital Logic Systems: Digital Systems & Boolean Basics, Logic Gates & Hardware, Combinational Circuit, Sequential Circuits
  10. Paper-2 | Database Management System: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, Relational Calculus, Relational Algebra, SQL, NoSQL
  11. Paper-2 | Data Structures & Algorithms: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Algorithm Analysis, Sorting Algorithms, Intro to Compilers, Hashing
  12. Paper 2 | Data Communication and Network Security: Introduction to CN, Data Communication, Data Link Layer - Ethernet, DLL: Error Control, Net Layer: IPv4 & Proto, Net Layer: IP Addressing, Application Layer, Hardware basics, Network Security, Ethical Hacking
  13. Paper-2 | Operating Systems: Introduction to OS, Process Management, Memory Management, File Management, Deadlock
  14. Paper-2 | Computer Organization and Architecture: 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, Number System, Number Representation
  15. Paper 2 | System Analysis and Design: Fundamentals of Systems and Information Systems, Fundamentals of Software Engineering, SDLC and Development Approaches, Software Documentation and Software Requirements Specification (SRS), SDD and Quality Assurance, Security, Risk Management & Maintenance, Software Testing
  16. Paper-2 | C Programming: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  17. Paper 2 | OOPS , C++ , JAVA: Language Design, OOPS with C++, Java, .Net Programming, Java Fundamentals
  18. Paper 2 | Python: Introduction to Python, Tokens, Variables, Data Types, I/O, Operators & Expressions, Control Flow & Looping, Collections & Strings, Functions & Modules, File Handling & Data Analysis
  19. Emerging Trends and AI: Emerging Tech Trends, Computer Fundamentals, Trade, Marketing and Consumer Protection / व्यापार, विपणन एवं उपभोक्ता संरक्षण, Internet of Things, Cloud Computing
  20. Paper-2 | Data Processing (Ms-Office): MS Office Applications, Computer Software, Operating System, Word Processing (MS Word), Presentation Software (MS PowerPoint)
  21. Paper-2 | Internet and Web Technologies: HTML Basics, CSS, XML, JavaScript-Basics, Internet Fundamentals, Protocols & Services, Web Publishing & Hosting, Server Side & Security, Emerging Technologies, Terms & Abbreviations, Cyber Threats and Malware Attacks, Role of Internet and Web Services, Security in Mobile and Wireless Computing, Cyber Safety and Security, Computer Networks
  22. Paper 2 | Pedagogy / शिक्षाशास्त्र: Growth and Development / वृद्धि और विकास, Theories of Development / विकास के सिद्धांत, Concept of Pedagogy / शिक्षाशास्त्र की संकल्पना, Inclusive Education / समावेशी शिक्षा, Experiential Pedagogy / अनुभवात्मक शिक्षाशास्त्र, Assessment and Evaluation / आकलन और मूल्यांकन, Cognitive Processes / संज्ञानात्मक प्रक्रियाएँ, Socialisation and Gender / समाजीकरण और जेंडर, National Education Policy (NEP) 2020 / राष्ट्रीय शिक्षा नीति (NEP) 2020
  23. Live Classes: RSSB Live Sessions
  24. Paper 1 - Full Mock Tests:
  25. Paper 2 - Full Mock Tests:
  26. BCI Previous Year Papers:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video is a lecture on simple interest, presented by an instructor named Yash Jain. The video begins with an introduction to the topic, using visual aids like a house made of a dollar bill and stacks of coins to represent financial concepts. The core of the lecture consists of solving several word problems related to simple interest. The first problem asks how long it will take for a sum of money to become four times its original value if it doubles in 7 years, which is solved by recognizing that the interest earned is proportional to time. The second problem involves a sum that becomes 5 times itself in 3 years, and the instructor calculates the time required to become 13 times. The third problem asks for the rate of interest when a sum triples in 16 years. The final problem calculates the rate of interest when a sum doubles in 12.5 years. The instructor uses a consistent method of assuming a principal of 100 units to simplify calculations, and the solutions are derived using the formula for simple interest, SI = (PRT)/100. The video concludes with a thank you message.

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' featuring a graphic of coins and a dollar bill house. The instructor, Yash Jain, appears in a small window, introducing the topic. The first problem is presented on screen: 'Q: A sum of money is doubled in 7 years. In how many years it will become 4 times?'. The instructor begins to explain the problem, setting up the context for a simple interest calculation.

  2. 2:00 – 5:00 02:00-05:00

    The instructor begins solving the first problem. He writes the formula for simple interest, SI = (PRT)/100, on the screen. He explains that if a sum doubles in 7 years, the interest earned is equal to the principal (P). He writes 'Interest = P' and 'Amount = 2P'. He then uses the formula to find the rate of interest, writing 'P = (P * R * 7)/100', which simplifies to R = 100/7. He then explains that to become 4 times, the amount must be 4P, so the interest must be 3P. He sets up the equation '3P = (P * R * T)/100' and substitutes R to find T = 21 years.

  3. 5:00 – 10:00 05:00-10:00

    The instructor moves to the second problem: 'Q: A sum of money becomes 5 times of itself in 3 years. From simple interest in how many years it will become 13 times?'. He uses a similar approach, assuming a principal of 100. He writes '100 -> 500' and notes the interest is 400 in 3 years. He then calculates the interest per year as 400/3. To become 13 times, the amount must be 1300, so the interest needed is 1200. He calculates the time as 1200 / (400/3) = 9 years. He then transitions to the third problem: 'Q: A sum of money triples itself in 16 years at simple interest. Find the rate of interest?'. He writes '100 -> 300', so interest is 200 in 16 years. He uses the formula 200 = (100 * R * 16)/100, solving for R = 12.5%.

  4. 10:00 – 12:55 10:00-12:55

    The final problem is presented: 'Q: A sum of money doubles itself in 12.5 years at simple interest. Find the rate of interest?'. The instructor writes the formula R = (100 * SI) / (P * T). He substitutes the values: R = (100 * 100) / (100 * 12.5), which simplifies to R = 100 / 12.5 = 8%. He then provides a tip: 'We can also find time using this trick.' He demonstrates this by showing that if a sum doubles in 12.5 years, the rate is 8%, and to find the time to triple, he uses the formula T = (100 * SI) / (P * R) = (100 * 200) / (100 * 8) = 25 years. The video ends with a 'THANK YOU FOR WATCHING' screen.

The video presents a structured and methodical approach to solving simple interest problems. The instructor consistently uses the principle of assuming a principal of 100 to simplify calculations, making the problems more accessible. The core concept demonstrated is the direct proportionality between interest and time in simple interest, which is applied to solve various scenarios involving the growth of a sum of money. The lecture progresses from basic problems to more complex ones, reinforcing the fundamental formula and its applications. The use of visual aids and step-by-step derivations helps in understanding the logic behind the calculations.

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