Questions on Principal Money Divided into Parts

Duration: 12 min

This video lesson is available to enrolled students.

Return to /learn/CTET-PAPER-1/mathematics/commercial-arithmetic-6iw4eh/simple-interest-1mjz34z/asset-questions-on-principal-money-divided-into-parts after enrolling

Inside: a video lesson and guided study material.

Module outline

  1. Child Development and Pedagogy / बाल विकास एवं शिक्षाशास्त्र: Concept of Development / विकास की अवधारणा, Psychological Theories of Development / विकास के मनोवैज्ञानिक सिद्धांत, Individual Differences, Personality and Gender / व्यक्तिगत भिन्नताएँ, व्यक्तित्व एवं जेंडर, Intelligence and Creativity / बुद्धि एवं सृजनात्मकता, Learning and Its Theories / अधिगम एवं इसके सिद्धांत, How Children Think and Learn / बालक कैसे सोचते एवं सीखते हैं, Emotion, Motivation, Mental Health and Guidance / संवेग, अभिप्रेरणा, मानसिक स्वास्थ्य एवं निर्देशन, Inclusive Education / समावेशी शिक्षा, Teaching-Learning Process / शिक्षण-अधिगम प्रक्रिया, Teaching Methods and Strategies / शिक्षण विधियाँ एवं रणनीतियाँ, Assessment and Evaluation / आकलन एवं मूल्यांकन, Curriculum and School Activities / पाठ्यचर्या और विद्यालयी गतिविधियाँ, Lesson Planning and Teaching Skills / पाठ योजना और शिक्षण कौशल, Teaching Resources and Educational Technology / शिक्षण संसाधन और शैक्षिक प्रौद्योगिकी, Educational Thinkers, Aims and National Policies / शैक्षिक विचारक, उद्देश्य एवं राष्ट्रीय नीतियाँ, Classroom Management and Communication / कक्षा प्रबंधन और सम्प्रेषण, Teacher Identity and Professional Development / शिक्षक पहचान और व्यावसायिक विकास, Social Science Pedagogy / सामाजिक विज्ञान शिक्षणशास्त्र, Social and Political Life / सामाजिक एवं राजनीतिक जीवन, Science Pedagogy / विज्ञान शिक्षण शास्त्र, Life Skills, Values, Peace and Environmental Education / जीवन कौशल, मूल्य, शांति एवं पर्यावरण शिक्षा, Constitution, Commissions, Acts and Schemes in Education / संविधान, आयोग, अधिनियम एवं योजनाएँ
  2. Mathematics / गणित: Number System & Place Value / संख्या पद्धति एवं स्थानीय मान, Basic Operations, Simplification & Patterns / मूलभूत संक्रियाएँ, सरलीकरण एवं पैटर्न, Factors, Divisibility, HCF & LCM / गुणनखंड, विभाज्यता, म.स.प. एवं ल.स.प., Fractions & Decimals / भिन्न एवं दशमलव, Squares, Cubes, Exponents & Surds / वर्ग, घन, घातांक एवं करणी, Measurement: Length, Mass, Capacity, Time & Money / मापन: लंबाई, भार, धारिता, समय एवं मुद्रा, Algebra / बीजगणित, Ratio, Proportion, Average & Ages / अनुपात, समानुपात, औसत एवं आयु, Percentage, Profit–Loss & Interest / प्रतिशत, लाभ-हानि एवं ब्याज, Time & Work and Speed–Distance / समय-कार्य एवं चाल-दूरी, Lines, Angles, Shapes & Coordinates / रेखाएँ, कोण, आकृतियाँ एवं निर्देशांक, Triangles, Quadrilaterals, Circles & Trigonometry / त्रिभुज, चतुर्भुज, वृत्त एवं त्रिकोणमिति, Mensuration: Perimeter, Area & Volume / क्षेत्रमिति: परिमाप, क्षेत्रफल एवं आयतन, Data Handling, Statistics & Probability / आँकड़ा प्रबंधन, सांख्यिकी एवं प्रायिकता, Mathematics Pedagogy / गणित शिक्षणशास्त्र, Alphabet & Number Test / वर्णमाला एवं संख्या परीक्षण, Non-Verbal Reasoning / अशाब्दिक तर्क, Dice & Cubes / पासा एवं घन, Mathematical Operations & Arithmetical Reasoning / गणितीय संक्रियाएँ एवं अंकगणितीय तर्क, Ranking, Seating Arrangement & Puzzles / क्रम, बैठक व्यवस्था एवं पहेली, Calendar & Clock / कैलेंडर एवं घड़ी, Venn Diagrams & Logical Deduction / वेन आरेख एवं तार्किक निगमन
  3. Environmental Studies / पर्यावरण अध्ययन: Family, Friends and Community / परिवार, मित्र और समुदाय, Plants / पौधे, Animals / जंतु, Farming and Animal Husbandry / खेती और पशुपालन, Food and Nutrition / भोजन और पोषण, Body and Health / शरीर और स्वास्थ्य, Water / जल, Shelter / आवास, Travel, Transport and Communication / यात्रा, परिवहन और संचार, Maps, Directions and India / मानचित्र, दिशाएँ और भारत, Things We Make and Do / हम क्या बनाते और करते हैं, Earth, Sky and Disasters / पृथ्वी, आकाश और आपदाएँ, Environment, Ecology and Wildlife / पर्यावरण, पारिस्थितिकी और वन्यजीव, Natural Resources, Pollution and Climate Change / प्राकृतिक संसाधन, प्रदूषण और जलवायु परिवर्तन, Pedagogy of Environmental Studies / पर्यावरण अध्ययन का शिक्षणशास्त्र, Physical Geography / भौतिक भूगोल, Resources and Development / संसाधन एवं विकास, Force, Pressure, Work and Energy / बल, दाब, कार्य एवं ऊर्जा, Environment and Ecology / पर्यावरण एवं पारिस्थितिकी, Science & Technology / विज्ञान एवं प्रौद्योगिकी, Heat and Sound / ऊष्मा एवं ध्वनि, Light / प्रकाश, Universe and Natural Phenomena / ब्रह्मांड एवं प्राकृतिक परिघटनाएँ, Chemical Reactions, Acids, Bases and Salts / रासायनिक अभिक्रियाएँ, अम्ल, क्षार एवं लवण, Natural Vegetation, Wildlife and World Regions / प्राकृतिक वनस्पति, वन्य जीवन एवं विश्व के प्रदेश, Environment & Climate Affairs / पर्यावरण एवं जलवायु समसामयिकी
  4. Language I/II — हिंदी / 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 — संस्कृत / 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 — اردو / 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 — বাংলা / 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. Extra Practice (beyond syllabus) / अतिरिक्त अभ्यास (पाठ्यक्रम से बाहर): Computer Hardware and Peripherals / कंप्यूटर हार्डवेयर एवं परिधीय उपकरण, International Relations & Organisations / अंतरराष्ट्रीय संबंध एवं संगठन, Indian Economy: Data & Current Affairs / भारतीय अर्थव्यवस्था: आँकड़े एवं समसामयिकी
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.

Loading lesson…