Selling item in 2 parts with given profit% or loss% (3)

Duration: 9 min

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Module outline

  1. About Course: About the Course
  2. Paper 2 | Digital Logic: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation, Floating Point Rep
  3. Paper 2 | Computer Organization And Architecture: Basics of COA, Cache Memory Organization, Input Output Organisation, Pipelining, Control Unit Design, Instr Formats & Modes, Programming the Basic Computer
  4. Paper 2 | Analog And Digital Communication: Introduction to Communication Systems & Random Signals, Analog Communication Systems, Information Theory & Digital Communication Fundamentals, Digital Modulation & Detection Techniques, Error Control, Synchronization & Multiple Access Techniques
  5. Paper 2 | Programming in C: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  6. Paper 2 | Data Structures And Programming: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing, Java, OOPS with C++, Java Fundamentals, Array, String, IO & References
  7. Paper 2 | Algorithms: Algorithm Analysis, Sorting Algorithms, Time Complexity Analysis, Greedy Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos
  8. Paper 2 | Compiler Design: Intro to Compilers, Lexical Analysis, Grammar & CFG, Syntax Analysis: Top-Down, Syntax Analysis: Bottom-Up, Semantic Analysis & SDT, Intermediate Code Gen, Code Optimization, Run Time Environment
  9. Paper 2 | Operating System: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory, Disc Scheduling, File Management, Unix OS, Linux OS
  10. Paper 2 | Databases: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, Relational Algebra, SQL, Relational Calculus, File Organization & Indexing, Transaction Management, Concurrency Control
  11. Paper 2 | Information Systems and Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
  12. Paper 2 | Computer Networks: 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
  13. Paper 2 | Internet & Web Technologies: Website, Browser & Services, Internet Fundamentals, Web Design & Development, Protocols & Services, Web Publishing & Hosting, Server Side & Security, Emerging Technologies, HTML Basics, JavaScript-Basics, CSS, XML, HTML5
  14. Paper 2 | Cyber Security And Emerging Technologies: Emerging Tech Trends, Internet of Things
  15. Paper 2 | Cloud Technology: Cloud Computing
  16. Paper 2 | Probability and statistics: Probability, Statistics
  17. Paper-1 English: Vocabulary, Preposition, Articles, Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions), Sentence Re-arrangements (Para Jumbles) (Narrative Sequencing), Sentence Correction (Error Correction), Sentence Completion (Fill in the blanks), Cloze Test (Cloze Passage), Sentence Construction
  18. Paper 1 General Mental Ability & Logical reasoning: Ratio and Proportion (Ratios), Divisibility Rules, Data Interpretation, Mixture and Alligation, Permutation and Combination, Logarithm, Number System, HCF LCM, Sequence and Series (Series), Speed Time and Distance, Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Data Sufficiency, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Percentage, Average, Powers and Exponents (Surds and Indices), Algebra, Profit and Loss, Simple Interest and Compound Interest, Time and Work, Pipe and Cistern, Mensuration and Geometry, Mental Ability, Age Problems, Partnership, Arithmetic, Speed Mathematics and Basic Mathematics, Syllogisms, 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, Cubes & Dices, Selection Decision Table (Decision Making), Logical Sequence Of Words, Venn Diagram, Analogy
  19. Paper-1 General Knowledge & Current Affairs: State Wise GK, History, Geography, GK- Current Affairs, Static General Knowledge
  20. Full Length Mock Test:
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 profit and loss problems where two items are sold at different profit and loss percentages, but the overall transaction results in no net profit or loss. The video begins with a title slide for 'MIXTURES & ALLIGATIONS' and transitions to a problem-solving session. The core concept demonstrated is the use of the alligation method, a technique for finding the ratio in which two or more ingredients at different prices must be mixed to produce a mixture at a given price. The instructor applies this method to two distinct problems: first, calculating the selling prices of two toy Tesla cars sold for a total of Rs. 1500, with one sold at a 3% loss and the other at a 7% profit, resulting in no overall profit or loss; second, solving a similar problem for two speakers sold for Rs. 1290, with one at a 9% loss and the other at a 12.5% profit. The solution process involves setting up a diagram with the profit and loss percentages, calculating the ratio of the cost prices, and then using this ratio to find the individual selling prices. The video concludes with a 'Thanks for Watching' screen.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with a cartoon illustration of a scientist in a lab, followed by a title slide for a lecture on 'MIXTURES & ALLIGATIONS' by Yash Jain, a Knowledge Gate Educator. The instructor, visible in a small window, introduces the topic. The next slide presents the first problem: 'Two Toy Tesla Cars were sold for Rs. 1500. One was sold at a loss of 3% and the other at a profit of 7%. If there was no profit no loss on the whole, find the selling price of each Toy Tesla Car.' The instructor begins to explain the problem, setting up the context for the alligation method.

  2. 2:00 – 5:00 02:00-05:00

    The instructor begins to solve the first problem using the alligation method. He writes on a digital whiteboard, showing the profit and loss percentages: +7% and -3%. He explains that the overall profit is 0%, which is the mean value. He then draws a diagram, placing the mean (0%) in the center, the profit (7%) on the left, and the loss (-3%) on the right. He calculates the difference between the mean and each extreme value, resulting in 7 and 3, respectively. This gives the ratio of the cost prices as 3:7. He then uses this ratio to find the cost prices, calculating 3/10 of 1500 as 450 and 7/10 of 1500 as 1050. Finally, he calculates the selling prices: 450 * 1.07 = 481.5 and 1050 * 0.97 = 1018.5.

  3. 5:00 – 9:11 05:00-09:11

    The video transitions to a second problem: 'Two speakers were sold for Rs. 1290. On one, there was loss of 9% and on the other there was profit of 12.5%. If there was no profit no loss overall, find the selling price of each speaker.' The instructor applies the same alligation method. He writes the percentages: +12.5% and -9%. The mean is 0%. He calculates the differences: 12.5 - 0 = 12.5 and 0 - (-9) = 9. This gives a ratio of 9:12.5, which he simplifies to 18:25. He then calculates the cost prices: 18/43 of 1290 = 540 and 25/43 of 1290 = 750. Finally, he calculates the selling prices: 540 * 0.91 = 491.4 and 750 * 1.125 = 843.6. The video ends with a 'Thanks for Watching' screen.

The video provides a clear, step-by-step demonstration of the alligation method for solving profit and loss problems. It begins by establishing the core principle: when there is no overall profit or loss, the total cost price equals the total selling price. The instructor then uses a visual diagram to find the ratio of the cost prices of the two items based on their individual profit and loss percentages. This ratio is then applied to the total selling price to find the individual cost prices, from which the selling prices are calculated. The method is effectively demonstrated on two different problems, reinforcing the concept and showing its versatility.

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