Questions on Extra Amount Received on Extra Interest Rate
Duration: 8 min
This video lesson is available to enrolled students.
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- About the Course: About the Course
- 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
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- Paper-1 & 2 | General Mental Ability / सामान्य मानसिक योग्यता: Mental Ability / मानसिक योग्यता, RSSB Specific Videos - Mental Ability / RSSB विशेष वीडियो - मानसिक योग्यता
- 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
- Paper-1 & 2 | Decision Making and Problem Solving / निर्णय लेना एवं समस्या समाधान: Data Sufficiency and Decision Making / आँकड़ों की पर्याप्तता एवं निर्णय क्षमता
- 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
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- Pedagogy / शिक्षाशास्त्र: Growth and Development / वृद्धि और विकास, Concept of Pedagogy / शिक्षाशास्त्र की संकल्पना, Cognitive Processes / संज्ञानात्मक प्रक्रियाएँ, Theories of Development / विकास के सिद्धांत, Inclusive Education / समावेशी शिक्षा, Experiential Pedagogy / अनुभवात्मक शिक्षाशास्त्र, Socialisation and Gender / समाजीकरण और जेंडर, National Education Policy (NEP) 2020 / राष्ट्रीय शिक्षा नीति (NEP) 2020
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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 and compound interest. The video begins with an introductory slide featuring a graph and a house made of money, setting the theme of financial growth. The main content consists of two worked examples. The first problem asks to find the principal given that a 3% increase in the interest rate over 2 years results in an extra Rs. 300. The instructor demonstrates a step-by-step algebraic solution using the formula for simple interest (SI = PRT/100), showing that the difference in interest (SI2 - SI1) is equal to the extra amount. The second problem is similar, where a 3% increase in the rate over 2 years leads to an extra interest of Rs. 72, and the instructor uses a direct formula: Principal = (Extra Interest * 100) / (Extra Rate * Time) to find the principal. The video concludes with a thank you message.
Chapters
0:00 – 2:00 00:00-02:00
The video opens with a title slide for a lesson on 'Simple and Compound Interest'. The slide features a graph with an upward-trending orange line and a row of gold coins, symbolizing financial growth. The instructor, Yash Jain, appears in a small window on the right, introducing the topic. The background is a light blue gradient with a decorative pattern of stars and triangles. The text on the slide includes 'Simple Interest and Compound Interest', 'Basic To Advance', and 'by YASH JAIN'. The instructor is seen speaking and gesturing, setting the stage for the lesson.
2:00 – 5:00 02:00-05:00
The video transitions to a problem-solving segment. The first problem is displayed on a yellow background with a pattern of small shapes: 'A sum of money is given on simple interest with a specific rate of interest for 2 years. If the rate of interest will be 3% more, then extra amount of Rs. 300 will be received. Find the principal?'. The instructor begins to solve this by writing the formula for the amount (A = P + SI) and then defines the initial amount (A1 = P + SI1) and the new amount (A2 = P + SI2). He then calculates the difference (A2 - A1), which simplifies to the difference in interest (SI2 - SI1). He writes the formula for the difference in interest as (P * (R+3) * 2)/100 - (P * R * 2)/100 = 300.
5:00 – 8:11 05:00-08:11
The instructor continues to solve the first problem. He simplifies the equation (P * (R+3) * 2)/100 - (P * R * 2)/100 = 300 to 2P(R+3) - 2PR = 30000. This further simplifies to 2PR + 6P - 2PR = 30000, which reduces to 6P = 30000. He then solves for P, finding P = 5000. He then introduces a shortcut formula: Principal = (Extra Interest * 100) / (Extra Rate * Time). He applies this to the second problem: 'A sum of money invested on a rate of simple interest for 2 years. If this money is invested on 3% more interest then the interest received by the same amount is Rs.72 more than before. Find Principal?'. He uses the formula: (72 * 100) / (3 * 2) = 7200 / 6 = 1200. The video ends with a 'THANK YOU FOR WATCHING' screen.
The video provides a clear, step-by-step tutorial on solving simple interest problems where the rate of interest changes. It effectively uses a combination of algebraic derivation and a direct formula to find the principal. The instructor's methodical approach, from setting up the problem with the standard formula to simplifying the equation and finally applying a shortcut, makes the concepts accessible. The progression from a detailed algebraic solution to a quick formula demonstrates a practical approach to problem-solving, which is beneficial for students preparing for competitive exams.