Short Trick for Questions on Difference in SI

Duration: 8 min

This video lesson is available to enrolled students.

Return to /learn/CTET-PAPER-1/mathematics/commercial-arithmetic-6iw4eh/simple-interest-1mjz34z/asset-short-trick-for-questions-on-difference-in-si after enrolling

Inside: a video lesson and guided study material.

Module outline

  1. Child Development and Pedagogy: विकास की अवधारणा / Concept of Development, विकास के मनोवैज्ञानिक सिद्धांत / Psychological Theories of Development, व्यक्तिगत भिन्नताएँ, व्यक्तित्व एवं जेंडर / Individual Differences, Personality and Gender, बुद्धि एवं सृजनात्मकता / Intelligence and Creativity, अधिगम एवं इसके सिद्धांत / Learning and Its Theories, बालक कैसे सोचते एवं सीखते हैं / How Children Think and Learn, संवेग, अभिप्रेरणा, मानसिक स्वास्थ्य एवं निर्देशन / Emotion, Motivation, Mental Health and Guidance, समावेशी शिक्षा / Inclusive Education, शिक्षण-अधिगम प्रक्रिया / Teaching-Learning Process, शिक्षण विधियाँ एवं रणनीतियाँ / Teaching Methods and Strategies, आकलन एवं मूल्यांकन / Assessment and Evaluation, पाठ्यचर्या और विद्यालयी गतिविधियाँ / Curriculum and School Activities, पाठ योजना और शिक्षण कौशल / Lesson Planning and Teaching Skills, शिक्षण संसाधन और शैक्षिक प्रौद्योगिकी / Teaching Resources and Educational Technology, शैक्षिक विचारक, उद्देश्य एवं राष्ट्रीय नीतियाँ / Educational Thinkers, Aims and National Policies, कक्षा प्रबंधन और सम्प्रेषण / Classroom Management and Communication, शिक्षक पहचान और व्यावसायिक विकास / Teacher Identity and Professional Development, सामाजिक विज्ञान शिक्षणशास्त्र / Social Science Pedagogy, सामाजिक एवं राजनीतिक जीवन / Social and Political Life, विज्ञान शिक्षण शास्त्र / Science Pedagogy, जीवन कौशल, मूल्य, शांति एवं पर्यावरण शिक्षा / Life Skills, Values, Peace and Environmental Education, संविधान, आयोग, अधिनियम एवं योजनाएँ / Constitution, Commissions, Acts and Schemes in Education
  2. Mathematics: संख्या पद्धति एवं स्थानीय मान / Number System & Place Value, मूलभूत संक्रियाएँ, सरलीकरण एवं पैटर्न / Basic Operations, Simplification & Patterns, गुणनखंड, विभाज्यता, म.स.प. एवं ल.स.प. / Factors, Divisibility, HCF & LCM, भिन्न एवं दशमलव / Fractions & Decimals, वर्ग, घन, घातांक एवं करणी / Squares, Cubes, Exponents & Surds, मापन: लंबाई, भार, धारिता, समय एवं मुद्रा / Measurement: Length, Mass, Capacity, Time & Money, बीजगणित / Algebra, अनुपात, समानुपात, औसत एवं आयु / Ratio, Proportion, Average & Ages, प्रतिशत, लाभ-हानि एवं ब्याज / Percentage, Profit–Loss & Interest, समय-कार्य एवं चाल-दूरी / Time & Work and Speed–Distance, रेखाएँ, कोण, आकृतियाँ एवं निर्देशांक / Lines, Angles, Shapes & Coordinates, त्रिभुज, चतुर्भुज, वृत्त एवं त्रिकोणमिति / Triangles, Quadrilaterals, Circles & Trigonometry, क्षेत्रमिति: परिमाप, क्षेत्रफल एवं आयतन / Mensuration: Perimeter, Area & Volume, आँकड़ा प्रबंधन, सांख्यिकी एवं प्रायिकता / Data Handling, Statistics & Probability, गणित शिक्षणशास्त्र / Mathematics Pedagogy, वर्णमाला एवं संख्या परीक्षण / Alphabet & Number Test, अशाब्दिक तर्क / Non-Verbal Reasoning, पासा एवं घन / Dice & Cubes, गणितीय संक्रियाएँ एवं अंकगणितीय तर्क / Mathematical Operations & Arithmetical Reasoning, क्रम, बैठक व्यवस्था एवं पहेली / Ranking, Seating Arrangement & Puzzles, कैलेंडर एवं घड़ी / Calendar & Clock, वेन आरेख एवं तार्किक निगमन / Venn Diagrams & Logical Deduction
  3. Environmental Studies: परिवार, मित्र और समुदाय / Family, Friends and Community, पौधे / Plants, जंतु / Animals, खेती और पशुपालन / Farming and Animal Husbandry, भोजन और पोषण / Food and Nutrition, शरीर और स्वास्थ्य / Body and Health, जल / Water, आवास / Shelter, यात्रा, परिवहन और संचार / Travel, Transport and Communication, मानचित्र, दिशाएँ और भारत / Maps, Directions and India, हम क्या बनाते और करते हैं / Things We Make and Do, पृथ्वी, आकाश और आपदाएँ / Earth, Sky and Disasters, पर्यावरण, पारिस्थितिकी और वन्यजीव / Environment, Ecology and Wildlife, प्राकृतिक संसाधन, प्रदूषण और जलवायु परिवर्तन / Natural Resources, Pollution and Climate Change, पर्यावरण अध्ययन का शिक्षणशास्त्र / Pedagogy of Environmental Studies, भौतिक भूगोल / Physical Geography, संसाधन एवं विकास / Resources and Development, बल, दाब, कार्य एवं ऊर्जा / Force, Pressure, Work and Energy, पर्यावरण एवं पारिस्थितिकी / Environment and Ecology, विज्ञान एवं प्रौद्योगिकी / Science & Technology, ऊष्मा एवं ध्वनि / Heat and Sound, प्रकाश / Light, ब्रह्मांड एवं प्राकृतिक परिघटनाएँ / Universe and Natural Phenomena, रासायनिक अभिक्रियाएँ, अम्ल, क्षार एवं लवण / Chemical Reactions, Acids, Bases and Salts, प्राकृतिक वनस्पति, वन्य जीवन एवं विश्व के प्रदेश / Natural Vegetation, Wildlife and World Regions, पर्यावरण एवं जलवायु समसामयिकी / Environment & Climate Affairs
  4. Language I/II — Hindi: भाषा, लिपि और वर्ण-विचार, संधि, शब्द-स्रोत और शब्द-रचना, समास, शब्द-भेद: विकारी और अविकारी, लिंग, वचन, कारक, काल और वाच्य, वाक्य-विचार और शुद्ध लेखन, शब्द-भंडार, रस, छंद, अलंकार और शब्द-शक्ति, हिंदी साहित्य, अपठित बोध, हिंदी शिक्षणशास्त्र
  5. Language I/II — English: Sounds, Spelling and Word Formation, Parts of Speech, Nouns and Pronouns, Articles, Determiners and Adjectives, Verbs and Modals, Tenses and Subject–Verb Agreement, Adverbs, Prepositions and Conjunctions, Sentence Structure, Voice and Narration, Vocabulary, Sentence Correction and Writing Skills, Poetry and English Literature, Reading Comprehension, Pedagogy of English Language
  6. Language I/II — Sanskrit: वर्णविचारः एवं संज्ञाप्रकरणम्, सन्धिप्रकरणम्, शब्दरूपाणि, धातुरूपाणि, कारकाणि एवं विभक्तयः, उपसर्गाः एवं अव्ययानि, प्रत्ययप्रकरणम्, समासप्रकरणम्, वाच्यप्रकरणम्, संख्याज्ञानम्, शब्दज्ञानम् एवं अनुवादः, अपठितावबोधनम्, संस्कृतसाहित्यम् एवं काव्यशास्त्रम्, संस्कृतशिक्षणशास्त्रम्
  7. Language I/II — Urdu: رسم الخط، املا اور تلفظ, ذخیرۂ الفاظ, قواعد, محاورے اور ضرب الامثال, شعر و سخن, اردو ادب کی تاریخ, تفہیمِ عبارت, اردو کی تدریس
  8. Language I/II — Bengali: ভাষা, ধ্বনি ও বর্ণ, সন্ধি ও বানান, শব্দের উৎস ও গঠন, সমাস, পদ পরিচয়, কারক ও বিভক্তি, ক্রিয়া ও কাল, বাক্যতত্ত্ব, শব্দার্থ ও বাগর্থ, পাঠ অনুধাবন ও সাহিত্য, নির্মিতি ও পত্রলিখন, বাংলা শিক্ষণবিদ্যা
  9. अतिरिक्त अभ्यास / Extra Practice (beyond syllabus): कंप्यूटर हार्डवेयर एवं परिधीय उपकरण / Computer Hardware and Peripherals, अंतरराष्ट्रीय संबंध एवं संगठन / International Relations & Organisations, भारतीय अर्थव्यवस्था: आँकड़े एवं समसामयिकी / Indian Economy: Data & Current Affairs
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video, presented by Yash Jain, is a tutorial on solving problems related to simple interest. The video begins with an introduction to the topic, using a visual of a house made from a dollar bill and stacks of coins to represent financial growth. The core of the video consists of two worked examples. The first problem states that the simple interest at 8% for 2 years is Rs.60 more than the interest at 5% for 3 years, and the instructor uses the formula SI = (P*R*T)/100 to set up the equation (P*8*2)/100 - (P*5*3)/100 = 60, which simplifies to P/100 = 60, yielding a principal of Rs.6000. The second problem is similar: the interest at 10% for 4 years is Rs.2250 more than at 7% for 5 years. The instructor calculates the difference in interest rates (40% - 35% = 5%) and sets up the proportion 5% = 2250, leading to 100% = 45000. 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 a graph and stacks of coins. This transitions to a presentation slide with a background of a dollar bill house and coin stacks. The slide is titled 'Simple Interest and Compound Interest' and includes the text 'Basic To Advance - by YASH JAIN'. The instructor, Yash Jain, appears in a small window, introducing the topic. The on-screen text clearly states the video's subject matter and the instructor's name.

  2. 2:00 – 5:00 02:00-05:00

    The video presents the first problem: 'The simple interest on a sum of money at 8% per annum for 2 years is Rs.60 more than at 5% per annum for 3 years. Find the sum.' The instructor begins to solve it by writing the formula for simple interest, SI = (P*R*T)/100. He then writes the expressions for the two scenarios: SI1 = (P*8*2)/100 and SI2 = (P*5*3)/100. He sets up the equation SI1 - SI2 = 60, which becomes (16P/100) - (15P/100) = 60. This simplifies to P/100 = 60, and he concludes that P = 6000.

  3. 5:00 – 7:37 05:00-07:37

    The video presents a second problem: 'The simple interest on a sum of money at 10% per annum for 4 years is Rs.2250 more than at 7% per annum for 5 years. Find the sum.' The instructor calculates the total interest percentages: 10% for 4 years is 40%, and 7% for 5 years is 35%. The difference is 40% - 35% = 5%. He states that this 5% difference is equal to Rs.2250. He then sets up a proportion: 5% = 2250, so 100% = (2250 * 100) / 5, which equals 45000. The final answer is P = 45000. The video ends with a 'THANK YOU FOR WATCHING' screen.

The video provides a clear, step-by-step tutorial on solving simple interest comparison problems. It begins with an introduction to the topic and then demonstrates two distinct methods for solving such problems. The first method involves setting up and solving a linear equation based on the standard simple interest formula. The second method uses a more conceptual approach by calculating the difference in total interest percentages and then using a proportion to find the principal. The progression from the first example to the second shows a shift from a direct algebraic solution to a more intuitive percentage-based solution, reinforcing the core concept of simple interest calculation.

Loading lesson…