Simple Interest Basic Concepts & Formulas

Duration: 16 min

This video lesson is available to enrolled students.

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Inside: a video lesson and guided study material.

Module outline

  1. हिंदी / Hindi — भाषा खंड: अपठित गद्यांश और अपठित पद्यांश, वर्ण-विचार (भाषा, लिपि और वर्णमाला), वर्तनी और वर्ण-विन्यास, शब्द, पद और शब्द-भेद, संज्ञा और सर्वनाम, विशेषण और क्रिया, लिंग, वचन, पुरुष और कारक, काल, वाच्य, वाक्य और वाक्य-भेद, वाक्य-शुद्धि, अशुद्धि शोधन और विराम चिह्न, उपसर्ग और प्रत्यय, संधि, समास, तत्सम, तद्भव, देशज और विदेशी शब्द, शब्द-भंडार, मुहावरे और लोकोक्तियाँ, अलंकार, रस और छंद, मिश्रित अभ्यास (बहु-विषयक सामग्री), शब्दोत्पत्ति एवं भाषा-बोलियाँ, वाक्य-पूर्ति, अनुच्छेद-रचना, भाषा, लिपि और वर्ण-विचार, वर्तनी और शब्द-रचना, संज्ञा, सर्वनाम, विशेषण और व्याकरणिक रूप, क्रिया, अव्यय और वाक्य-विन्यास, शब्द-भंडार और अभिव्यक्ति, काव्यशास्त्र, पठन-बोध और लेखन, हिंदी भाषा शिक्षणशास्त्र
  2. संस्कृत / Sanskrit — भाषा खंड: वर्ण, उच्चारण, सन्धि, शब्दरूप, धातुरूप, कारक-विभक्ति, समास, प्रत्यय, उपसर्ग, वाच्य, सङ्ख्या, अव्यय, अपठित अवबोधन, भाषापरिचय, वर्णविचार एवं व्याकरणसंज्ञाएँ, सन्धि, शब्दरूप एवं सर्वनाम, धातुरूप एवं लकार, कारक एवं विभक्ति, उपसर्ग, अव्यय, शब्दसम्पदा एवं सङ्ख्या, प्रत्यय एवं शब्दनिर्माण, वाक्यरचना, वाच्य एवं अनुवाद, पाठावबोधन एवं रचनात्मक लेखन
  3. अंग्रेज़ी / English — भाषा खंड: Noun, Pronoun, Determiner, Articles, Adjectives, Verb, Adverb, Preposition, Conjunction, Interjection, Sentence Structure, Phrases & Clauses, Tenses, Subject Verb Agreement (Verb Noun Agreement), Modals, Active Passive Voice (Voice), Direct and Indirect Speech, Vocabulary, Sentence Correction (Error Correction), Sentence Completion (Fill in the blanks), Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions), Cloze Test (Cloze Passage)
  4. सामान्य ज्ञान एवं समसामयिक घटनाएँ / General Knowledge & Current Affairs — 25 प्रश्न: Static GK — Books & Authors, Awards, Sports, Important Days, Firsts, Organisations, Culture & Arts, Current Affairs — National, Current Affairs — International, Economy & Government Schemes (current), Uttar Pradesh, History, Polity, Indian Economy, Static General Knowledge, State Wise GK, GK- Current Affairs, इतिहास एवं राष्ट्रीय आंदोलन / History & National Movement, भूगोल एवं पर्यावरण / Geography & Environment, भारतीय राजव्यवस्था एवं शासन / Indian Polity & Governance, भारतीय अर्थव्यवस्था एवं विकास / Indian Economy & Development, सामान्य विज्ञान एवं प्रौद्योगिकी / General Science & Technology, कला, संस्कृति एवं विरासत / Art, Culture & Heritage, भारतीय समाज, शिक्षा एवं जनसांख्यिकी / Indian Society, Education & Demography, स्थिर सामान्य ज्ञान / Static General Knowledge, पुरस्कार एवं सम्मान / Awards & Honours, उत्तर प्रदेश / Uttar Pradesh, खेल एवं प्रतियोगिताएँ / Sports & Competitions, सरकारी योजनाएँ एवं सार्वजनिक कार्यक्रम / Government Schemes & Public Programmes, समसामयिकी एवं अंतरराष्ट्रीय संबंध / Current Affairs & International Relations
  5. गणित / Mathematics — 16 प्रश्न: Number System & Place Value, Whole Numbers & Four Operations, Factors, Multiples, Divisibility, HCF & LCM, Fractions & Decimals, Integers & Rational Numbers, Exponents, Powers, Squares, Cubes & Roots, Algebra — Expressions, Identities & Linear Equations, Ratio, Proportion & Percentage, Measurement — Length, Mass, Capacity, Time, Money, Commercial Arithmetic (Profit-Loss-Discount, SI & CI), Average, Ages & Mixtures, Time & Work, Speed-Time-Distance, Geometry — Shapes, Lines & Angles, Symmetry, Spatial Understanding, Geometry — Triangles, Quadrilaterals, Circles, Congruence & Constructions, Mensuration — Perimeter, Area, Surface Area, Volume, Data Handling, Graphs & Probability, Coordinates & Graphs, Higher Mathematics — Trigonometry, Quadratics, Polynomials, Progressions, Statistics, Logarithms, Number System, Arithmetic, Divisibility Rules, HCF LCM, Powers and Exponents (Surds and Indices), Algebra, Ratio and Proportion (Ratios), Percentage, Average, Profit and Loss, Simple Interest and Compound Interest, Mensuration and Geometry, Statistics, संख्या पद्धति एवं अंकगणितीय आधार / Number System & Arithmetic Foundations, गुणनखंड, विभाज्यता एवं HCF–LCM / Factors, Divisibility & HCF–LCM, अनुपात, समानुपात एवं प्रतिशत / Ratio, Proportion & Percentage, व्यावसायिक अंकगणित / Commercial Arithmetic, औसत, आयु एवं मिश्रण / Averages, Ages & Mixtures, समय, कार्य एवं गति / Time, Work & Motion, बीजगणित एवं समीकरण / Algebra & Equations, ज्यामिति एवं स्थानिक बोध / Geometry & Spatial Understanding, मापन एवं क्षेत्रमिति / Measurement & Mensuration, डेटा प्रबंधन, सांख्यिकी एवं प्रायिकता / Data Handling, Statistics & Probability, निर्देशांक, त्रिकोणमिति एवं उच्चतर गणित / Coordinates, Trigonometry & Higher Mathematics, गणित शिक्षाशास्त्र / Mathematics Pedagogy
  6. विज्ञान / Science — 8 प्रश्न: Food, Nutrition & Components of Food, Plants — Nutrition, Transport, Reproduction, Animals & Human Body — Systems, Organs, Nutrition, Health, Diseases, Microorganisms & Hygiene, Cell, Tissues & Classification of Living Beings, Reproduction & Adolescence, Physical Quantities, Units & Measurement, Materials, Matter, Mixtures & Separation, Atoms, Molecules & Structure of Matter, Elements, Compounds, Acids-Bases-Salts, Metals & Non-metals, Physical & Chemical Changes, Combustion, Fuels, Carbon & Organic Compounds, Motion, Force, Pressure & Friction, Heat & Temperature, Light, Shadows, Mirrors & Lenses, Work, Energy & Power, Sound, Electricity & Magnetism, Earth, Universe & Solar System, Natural Resources, Environment, Ecosystem & Pollution, Science & Technology in Daily Life (inventions, space, defence), Biology, Chemistry, Physics, वैज्ञानिक आधार, मापन और प्रौद्योगिकी / Scientific Foundations, Measurement & Technology, भोजन, पोषण और स्वास्थ्य / Food, Nutrition & Health, पदार्थ और दैनिक उपयोग की सामग्री / Matter & Materials of Daily Use, परमाणु, तत्त्व और रासायनिक अभिक्रियाएँ / Atoms, Elements & Chemical Reactions, गति, बल, कार्य और ऊर्जा / Motion, Force, Work & Energy, ऊष्मा, प्रकाश और ध्वनि / Heat, Light & Sound, विद्युत, चुंबकत्व और नाभिकीय भौतिकी / Electricity, Magnetism & Nuclear Physics, जीव-जगत, कोशिका और विविधता / Living World, Cells & Diversity, पादप जीवन और खाद्य संसाधन / Plant Life & Food Resources, मानव शरीर, प्रजनन और विकास / Human Body, Reproduction & Development, पृथ्वी, अंतरिक्ष, पर्यावरण और संसाधन / Earth, Space, Environment & Resources, विज्ञान शिक्षण और शिक्षाशास्त्र / Science Pedagogy
  7. पर्यावरण एवं सामाजिक अध्ययन / Environment & Social Studies — 8 प्रश्न: Environment Conservation, Waste & Pollution, Natural Disasters & Safety, Water (sources, conservation), Air, Weather, Sky & Seasons, Travel, Transport & Communication, Festivals, Culture & Heritage (India), Food & Nutrition, Health & Hygiene, Plants (types, parts, uses), Animals (habitats, features, care), History — Sources, Prehistory & Harappan Civilisation, History — Vedic Age, Mahajanapadas, Religions (Buddhism/Jainism), History — Mauryas, Guptas & Post-Gupta Kingdoms, History — Medieval India (Sultanate, Mughals, Regional Kingdoms, Bhakti-Sufi), History — Modern India & Colonial Rule, History — Indian National Movement (1857–1947), History — India Since Independence, Geography — Earth, Globe, Maps, Latitudes-Longitudes, Geography — Landforms, Atmosphere, Hydrosphere, Climate, Natural Vegetation & Biomes, Geography — Physical & Political India (rivers, mountains, soils, vegetation, climate), Geography — Resources, Agriculture, Industries, Transport, Geography — World (continents, countries, oceans), Geography — Population, Settlements & Census, Polity — Democracy, Diversity, Social Justice & Gender, Polity — Constitution, Preamble, Fundamental Rights & Duties, DPSP, Polity — Union & State Government, Parliament, Judiciary, Elections, Polity — Local Government (Panchayati Raj, Urban bodies), Polity — International Relations & Organisations, Economy — Basic Concepts, Money, Banking, Budget, Schemes, Economy — Consumer Rights & Protection, Geography, Environment, परिवार, मित्र, समुदाय और नागरिक जीवन / Family, Friends, Community and Civic Life, पौधे और कृषि / Plants and Agriculture, जंतु और सूक्ष्मजीव / Animals and Microorganisms, भोजन, पोषण और स्वास्थ्य / Food, Nutrition and Health, जल / Water, आवास / Shelter, यात्रा, मानचित्र और संचार / Travel, Maps and Communication, हम जो बनाते और करते हैं, संस्कृति और इतिहास / Things We Make and Do, Culture and History, वायु, मौसम, पृथ्वी और आकाश / Air, Weather, Earth and Sky, पारिस्थितिकी, संसाधन और संरक्षण / Ecology, Resources and Conservation, प्रदूषण, जलवायु परिवर्तन और आपदाएँ / Pollution, Climate Change and Disasters, पर्यावरण अध्ययन का शिक्षणशास्त्र / Pedagogy of Environmental Studies
  8. शिक्षण कौशल / Teaching Skills — 8 प्रश्न: Nature, Objectives & Characteristics of Teaching, Learners & Learning Process, Factors Affecting Teaching, Classroom Management & Communication, Teaching-Learning Aids & ICT Integration, Curriculum & School Environment, Lesson Planning, Micro-Teaching & Teaching Skills, Evaluation, Assessment & Measurement, Inclusive Education & Special Needs, Policies, Acts & Contemporary Issues
  9. बाल मनोविज्ञान / Child Psychology — 8 प्रश्न: Concept of Pedagogy, Psychology, Child Development, Theories, Personality Development, Individual Differences, Learning and Motivation, Understanding Diverse Learners, Inclusive Education, Teaching-Learning Process, Teaching Methods & Strategies, Experiential Pedagogy, Assessment & Evaluation, National Education Policy (NEP) 2020, Curriculum Framework & Reforms, Miscellaneous Topics
  10. जीवन कौशल, प्रबन्धन एवं अभिवृत्ति / Life Skills, Management & Attitude — 8 प्रश्न: Professional Development & Ethics, Guidance, Counselling & Mental Health, Mental Health & Life Skills
  11. तार्किक ज्ञान / Logical Reasoning — 5 प्रश्न: Number/Alphabet Test, Mathematical Operations, Cubes & Dices, Inequality, Selection Decision Table (Decision Making), Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Western Logic, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Seating Arrangements, Blood Relations, Directions (Direction Test), Analytical Reasoning (Counting Figures Reasoning), Puzzle Solving (Puzzles), Calendar, Clock, Venn Diagram, Syllogism, Analogy, Ranking, Order and Sequence, Mirror & Water Image, Embedded/Figure Completion, Paper Folding & Cutting, Data Interpretation, वर्णमाला और श्रृंखला / Alphabet and Series, सादृश्य और वर्गीकरण / Analogy and Classification, कूटलेखन और कूटवाचन / Coding and Decoding, रक्त संबंध, दिशा और क्रम / Blood Relations, Directions and Order, गणितीय संक्रिया और संख्या पहेली / Mathematical Operations and Number Puzzles, वेन आरेख और तार्किक निगमन / Venn Diagrams and Logical Deduction, बैठक व्यवस्था और तार्किक पहेली / Seating Arrangements and Logical Puzzles, कैलेंडर और घड़ी / Calendars and Clocks, कथन आधारित तर्क और निर्णय / Statement Reasoning and Decisions, अशाब्दिक तर्क / Non-Verbal Reasoning, घन और पासा / Cubes and Dice, तर्कशक्ति का शिक्षण / Pedagogy of Reasoning
  12. सूचना तकनीकी / Information Technology — 4 प्रश्न: Terms & Abbreviations, MS Office Applications, Keyboard Shortcuts, Emerging Tech Trends, Digital India & e-Gov, कंप्यूटर मूलतत्त्व / Computer Fundamentals, कंप्यूटर आर्किटेक्चर और डिजिटल लॉजिक / Computer Architecture & Digital Logic, ऑपरेटिंग सिस्टम और फ़ाइल प्रबंधन / Operating Systems & File Management, वर्ड प्रोसेसिंग / Word Processing, स्प्रेडशीट और डेटा प्रस्तुतीकरण / Spreadsheets & Data Presentation, प्रस्तुतीकरण और ऑफिस उपकरण / Presentations & Office Tools, इंटरनेट, नेटवर्क और संचार / Internet, Networks & Communication, साइबर सुरक्षा, कानून और डिजिटल नागरिकता / Cyber Safety, Law & Digital Citizenship, डिजिटल सेवाएँ और ICT शिक्षा / Digital Services & ICT in Education, डेटाबेस और डेटा प्रबंधन / Databases & Data Management, प्रोग्रामिंग और सॉफ्टवेयर विकास / Programming & Software Development, उभरती प्रौद्योगिकियाँ और AI / Emerging Technologies & AI
  13. अतिरिक्त अभ्यास (वैकल्पिक) / Extra Practice — beyond the 2026 syllabus: हिंदी साहित्य — कवि, लेखक, रचनाएँ, संस्कृत साहित्य-कवि-ग्रन्थ, History — World History (basic), संस्कृत साहित्य, संस्कृतभाषा शिक्षणशास्त्र, हिंदी साहित्य का इतिहास और रचनाकार, साहित्यिक विधाएँ
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video provides a comprehensive lesson on Simple Interest, a fundamental concept in finance. The instructor begins by introducing the topic with a title slide and then proceeds to define the key variables: Principal (P), Rate of Interest (R), and Time (T). The core formula for calculating Simple Interest (SI) is derived step-by-step as SI = (P * R * T) / 100. The video uses a practical example with a principal of Rs. 100, a rate of 6% per annum, and a time of 3 years to demonstrate the calculation, showing that the interest for each year is Rs. 6, leading to a total interest of Rs. 18. The concept of the total amount (A), which is the sum of the principal and the interest (A = P + SI), is also explained. The lesson then moves to a problem-solving section, where the instructor demonstrates how to find the principal when the amount, rate, and time are known, using the formula P = (Amount * 100) / (100 + R*T). A final example calculates the amount and interest on a principal of Rs. 6000 at 6% for 2 years, resulting in an interest of Rs. 720 and a total amount of Rs. 6720. 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 featuring the text 'SIMPLE AND COMPOUND INTEREST' over an image of coins and a graph. This transitions to a presentation slide with a title 'Simple Interest and Compound Interest' and a subtitle 'Basic To Advance - by YASH JAIN'. The slide includes a visual of a house made from a dollar bill and stacks of coins. The instructor, Yash Jain, appears in a small window in the bottom right corner. The main content slide is titled 'Simple Interest' and has a decorative background with confetti. A copyright notice for 'KNOWLEDGE GATE EDUVENTURES' is visible at the bottom of the screen.

  2. 2:00 – 5:00 02:00-05:00

    The instructor begins the lesson by writing the formula for Simple Interest on the screen. He defines the variables: P = Rs. 100 (Principal), R = 6% (Rate of Interest), and T = 3 years (Time). He explains that the interest for one year is calculated as R% of P, which is 6% of 100, resulting in Rs. 6. He then shows that for 3 years, the total interest is 3 times the annual interest, which is 3 * 6 = Rs. 18. The total amount is calculated as Principal + Interest, which is 100 + 18 = Rs. 118. The instructor then derives the general formula for Simple Interest: SI = (P * R * T) / 100.

  3. 5:00 – 10:00 05:00-10:00

    The instructor continues to explain the formula for Simple Interest, writing it as SI = (P * R * T) / 100. He then shows how to calculate the total amount (A) as A = P + SI, which simplifies to A = P(1 + RT/100). He demonstrates how to find the principal (P) when the amount (A), rate (R), and time (T) are known, using the formula P = (Amount * 100) / (100 + R*T). He provides an example where the amount is Rs. 112, the rate is 6% per annum, and the time is 2 years. He calculates the total interest as 12% of the principal, leading to the equation 112 = P + 0.12P, which simplifies to 112 = 1.12P. He then solves for P, finding the principal to be Rs. 100.

  4. 10:00 – 15:00 10:00-15:00

    The instructor presents a new problem: 'Find the amount & simple interest on Rs. 6000 at the rate of 6% per annum for 2 years?'. He identifies the values: P = Rs. 6000, R = 6%, T = 2 years. He calculates the total interest as 12% of the principal, which is 12% of 6000. He shows the calculation: (6000 * 6 * 2) / 100 = 720. The simple interest (SI) is Rs. 720. He then calculates the total amount (A) as P + SI, which is 6000 + 720 = Rs. 6720. He also shows an alternative method by calculating the interest for one year (6% of 6000 = 360) and then for two years (2 * 360 = 720).

  5. 15:00 – 15:37 15:00-15:37

    The video concludes with a final slide that displays the text 'THANK YOU FOR WATCHING' in large, orange and white letters against a black background. This is the end screen of the educational video, signaling the completion of the lesson on Simple Interest.

The video provides a clear and structured lesson on Simple Interest, progressing from foundational definitions to complex problem-solving. It begins by establishing the core formula, SI = (P * R * T) / 100, and uses a concrete example to illustrate the concept of interest accumulation over time. The instructor effectively demonstrates the derivation of the formula and its application in various scenarios, including finding the total amount and the principal when other variables are known. The use of step-by-step calculations and multiple examples ensures a comprehensive understanding of the topic, making it suitable for students learning financial mathematics.

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