Short Trick to Find Compound Interest in just 10 Seconds

Duration: 12 min

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Inside: a video lesson and guided study material.

Module outline

  1. Quantitative Aptitude: Number System, Percentage, Profit and Loss, Ratio and Proportion (Ratios), Average, Time and Work, Speed Time and Distance, Simple Interest and Compound Interest, Mixture and Alligation, Data Interpretation, Permutation and Combination, Probability, Logarithm, Powers and Exponents (Surds and Indices), Age Problems, Divisibility Rules, Partnership, HCF LCM, Algebra, Pipe and Cistern
  2. Logical Reasoning: Series (Number and Letter Series) (Numerical Relations and Reasoning), Analogy, Coding Decoding, Blood Relations, Directions (Direction Test), Syllogisms, Logical Sequence Of Words, Data Sufficiency, Seating Arrangements, Puzzle Solving (Puzzles), Calendar, Clock, Cubes & Dices, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Data Arrangement
  3. English Language: Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions), Sentence Correction (Error Correction), Sentence Completion (Fill in the blanks), Vocabulary, Sentence Re-arrangements (Para Jumbles) (Narrative Sequencing), Active Passive Voice (Voice), Direct and Indirect Speech, Cloze Test (Cloze Passage), Tenses, Subject Verb Agreement (Verb Noun Agreement), Preposition, Articles, Conjunction, Adverb
  4. Written English Test: English Writing Ability
  5. Coding: Coding Questions by Yash Sir, C Programming by Yash Sir, Programming in C++, Java, Python for Placements by Yash Sir
  6. Communication Round: Communication Assessment
  7. DBMS (Technical Interview): Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, File Organization & Indexing, Relational Algebra, Relational Calculus, Transaction Management, Concurrency Control, Database Recovery, ORDBMS, Database Security & Authorization, Query Processing & Optimization, Enhanced Data Models, Big Data Systems, NoSQL, Data Warehousing & Mining
  8. SQL (Technical Interview): SQL
  9. Operating Systems (Technical Interview): Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Deadlock, Threads & Process Creation, Memory Management, Virtual Memory, Disc Scheduling, File Management, Windows OS, Linux OS, Security, Distributed Systems, Virtual Machines
  10. Computer Networks (Technical Interview): Introduction to CN, Data Communication, DLL: Access Control, DLL: Flow Control, DLL: Error Control, DLL: Framing, Data Link Layer - Ethernet, Net Layer: IPv4 & Proto, Net Layer: IP Addressing, Net Layer:Routing Protocol, Transport Layer Services, TL: Congestion & UDP, Application Layer, Hardware basics, Network Security, Mobile Technology, Cloud Computing and IoT, Cyber and Info Security
  11. OOPs (Technical Interview): Object Oriented Programming (OOPS)
  12. HR Interview: MR & HR Interview Preparation
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video, presented by Yash Jain from Knowledge Gate, provides a comprehensive lesson on the concepts of simple and compound interest. The video begins with an introduction to the topic, using visual aids like stacks of coins and a house made of dollar bills to represent financial growth. The instructor then transitions to a whiteboard to explain the fundamental concepts. He starts with a basic example of Rs 100 at a 10% interest rate for 1 year, demonstrating that simple interest (SI) and compound interest (CI) are equal in the first year. He then extends this to 2 years, showing that CI for the second year is calculated on the new principal (Rs 110), resulting in a total CI of Rs 21, which is more than the Rs 20 simple interest. The video progresses to a 3-year example, where the CI is calculated as Rs 33.1, and the 4th year's interest is shown to be Rs 4.641, illustrating the compounding effect. The final segment presents a practical problem: calculating the compound interest on Rs 45,000 at 10% per annum for 2 years. The instructor applies the formula A = P(1 + R/100)^T, breaking down the calculation step-by-step to find the amount (Rs 54,450) and the interest (Rs 9,450). 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 rising graph and stacks of coins. The scene then transitions to the instructor, Yash Jain, who is introduced as a Knowledge Gate educator. He stands in front of a background with financial imagery, including a house made of dollar bills and stacks of coins. On-screen text identifies the topic as 'Simple Interest and Compound Interest' and the course as 'Basic To Advance'. The instructor begins his lecture, explaining the fundamental concepts of interest.

  2. 2:00 – 5:00 02:00-05:00

    The instructor moves to a whiteboard with the heading 'Basic Concepts'. He begins a worked example, writing 'Rs 100 10% 1 year' on the board. He explains that for the first year, simple interest (SI) and compound interest (CI) are the same. He writes the formula 'SI = CI' and calculates the interest as 'SI = Rs 10'. He then updates the example to '2 years', writing '1st → 10' and '2nd → 10+1 = 11', showing that the interest for the second year is calculated on the new principal of Rs 110, leading to a total CI of Rs 21. He also writes '2yrs → 2:1' to illustrate the ratio of interest for the first and second years.

  3. 5:00 – 10:00 05:00-10:00

    The instructor continues the example on the whiteboard, extending it to 3 years. He writes '3yrs → 33.1', showing the cumulative compound interest. He then calculates the interest for the 4th year, writing '4th year → 10 + 3.31 = 13.31', and notes that the interest for the 4th year is Rs 4.641. He uses the ratio '4yrs → 4:6:4:1' to demonstrate a pattern in the interest calculation. The instructor then transitions to a new problem, writing 'Q: What will be the compound interest on Rs 45000 at the rate of 10% per annum for 2 years?' on the board.

  4. 10:00 – 12:09 10:00-12:09

    The instructor solves the problem on the whiteboard. He writes the compound interest formula: 'A = P(1 + R/100)^T'. He substitutes the values: 'A = 45000(1 + 10/100)^2'. He simplifies this to 'A = 45000(11/10)^2', then to 'A = 45000 x 121/100'. He calculates the amount as 'A = 450 x 121 = 54450'. Finally, he calculates the compound interest as 'CI = A - P = 54450 - 45000 = 9450'. The video ends with a 'THANK YOU FOR WATCHING' screen.

The video provides a clear, step-by-step explanation of simple and compound interest, starting from basic principles and progressing to practical calculations. The instructor effectively uses a combination of visual aids and a whiteboard to demonstrate the key difference between the two concepts: simple interest is calculated only on the original principal, while compound interest is calculated on the accumulated amount, leading to exponential growth. The lesson is structured to build understanding incrementally, from a 1-year example to a multi-year problem, and culminates in a real-world application, making the concepts accessible and easy to apply.

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