Water mixed to a mixture & sold at CP to make profit (2)

Duration: 10 min

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Module outline

  1. About the course: About the Course
  2. Mathematical Aptitude / गणितीय अभिक्षमता: Number System / संख्या पद्धति, HCF and LCM / महत्तम समापवर्तक और लघुत्तम समापवर्त्य, Divisibility Rules / विभाज्यता के नियम, Percentage / प्रतिशत, Ratio and Proportion / अनुपात और समानुपात, Average / औसत, Profit, Loss and Discount / लाभ, हानि और बट्टा, Time and Work / समय और कार्य, Solid Mensuration / घन क्षेत्रमिति, Simple and Compound Interest / साधारण और चक्रवृद्धि ब्याज, Time, Speed and Distance / समय, चाल और दूरी, Age Problems / आयु संबंधी प्रश्न, Mixture and Alligation / मिश्रण और एलिगेशन, Algebra / बीजगणित, Simplification, Indices and Surds / सरलीकरण, घातांक और करणी, Pipe and Cistern / नल और टंकी, Trigonometry / त्रिकोणमिति, Statistics / सांख्यिकी, Data Interpretation / आँकड़ा निर्वचन, Arithmetic / अंकगणित, 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
  3. Logical Reasoning / तार्किक तर्कशक्ति: Series / श्रेणी, Coding-Decoding / कूट लेखन एवं कूट वाचन, Analogy and Classification / सादृश्यता एवं वर्गीकरण, Blood Relations / रक्त संबंध, Direction and Distance / दिशा एवं दूरी, Order and Ranking / क्रम एवं रैंकिंग, Non-Verbal Reasoning / अशाब्दिक तर्क, Seating Arrangement and Puzzles / बैठक व्यवस्था एवं पहेलियाँ, Syllogisms / न्यायवाक्य, Venn Diagrams, Syllogism and Inequalities / वेन आरेख, न्याय वाक्य एवं असमानता, Mathematical Operations and Missing Numbers / गणितीय संक्रियाएँ एवं लुप्त संख्या, Alphabet and Number Test / वर्णमाला एवं संख्या परीक्षण, Statement-Based Reasoning / कथन आधारित तार्किक विवेचन, Analytical Reasoning (Counting Figures Reasoning) / विश्लेषणात्मक तर्क (आकृति गणना तर्क), Cubes, Dice and Figure Counting / घन, पासा एवं आकृतियों की गिनती, Calendar and Clock / कैलेंडर एवं घड़ी, Clock / घड़ी
  4. General Knowledge / सामान्य ज्ञान: Scientific Achievements and Research / वैज्ञानिक उपलब्धियाँ और अनुसंधान, Chemistry / रसायन विज्ञान, Biology / जीव विज्ञान, History / इतिहास, Geography / भूगोल, Polity / राजव्यवस्था, Indian Economy / भारतीय अर्थव्यवस्था, Current Affairs / समसामयिकी, Static General Knowledge / स्थैतिक सामान्य ज्ञान, State-Specific General Knowledge / राज्य विशेष सामान्य ज्ञान
  5. Art of Teaching / शिक्षण कला: Teaching-Learning Process and Classroom Management / शिक्षण-अधिगम प्रक्रिया एवं कक्षा प्रबंधन, Learners & Learning Process / अधिगमकर्ता और अधिगम प्रक्रिया, Factors Affecting Teaching / शिक्षण को प्रभावित करने वाले कारक, Teaching Methods and Approaches / शिक्षण विधियाँ एवं उपागम, Microteaching and Classroom Communication / सूक्ष्म शिक्षण एवं कक्षा संप्रेषण, Teaching Aids and Educational Technology / शिक्षण सहायक सामग्री एवं शैक्षिक तकनीकी, Assessment and Evaluation / आकलन एवं मूल्यांकन, Teacher: Qualities, Professional Ethics and Development / शिक्षक: गुण, व्यावसायिक नैतिकता एवं विकास, Educational Policies, Acts and Administration / शैक्षिक नीतियाँ, अधिनियम एवं प्रशासन, Curriculum, Arts and Co-curricular Areas / पाठ्यचर्या, कला एवं सह-शैक्षिक क्षेत्र, Guidance and Counselling / निर्देशन एवं परामर्श, Education of Children with Disabilities / दिव्यांग बच्चों की शिक्षा, Micro-Teaching & Teaching Skills / सूक्ष्म शिक्षण और शिक्षण कौशल, Lesson Planning / पाठ योजना
  6. Environmental Science / पर्यावरण विज्ञान: Environment / पर्यावरण
  7. Unit 1 | Digital Electronics: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation
  8. Unit 2 | COA: Basics of COA, Floating Point Rep, Cache Memory Organization, Input Output Organisation, Instr Formats & Modes, Control Unit Design, Register Transfer and Microoperations, Programming the Basic Computer
  9. Unit 3 | C Programming: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  10. Unit 3 | Data Structures: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing
  11. Unit 4 | Algorithms: Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos, Advanced Algorithms
  12. Unit 5 | Operating System: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory, Disc Scheduling, File Management
  13. Unit 6 | Database Management System: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, File Organization & Indexing, Relational Algebra, SQL, Transaction Management, Concurrency Control
  14. Unit 7 | 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
  15. Unit 8 | Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
  16. Unit 9 | Object Oriented Programming: OOPS with C++
  17. Unit 10 | Web Development: HTML Basics, CSS, JavaScript-Basics, XML, Node.js, Git & Github, PHP
  18. Unit 11 | Theory Of Computation: Introduction to TOC, Deterministic FA (DFA), Non-Deterministic FA, Regular Expressions, Grammar, Regular Language Properties, Moore & Mealy Machines, Pushdown Automata & CFG, Turing Machines
  19. Unit 12 | IoT: Emerging Tech Trends, Cloud Computing, Computer Networks, Internet of Things
  20. Unit 13 | Artificial Intelligence: Approaches to AI, Search Algorithms, Game Playing, Knowledge Representation, Natural Language Processing, Artificial Neural Networks, Genetic Algorithms
  21. Unit 14 | E-Commerce: Electronic Data Interchange and E-Commerce, Role of Internet and Web Services, Security in Mobile and Wireless Computing, Physical Security and Cryptography Basics, Cyber Safety and Security
  22. Unit 15 | Multimedia: Multimedia
  23. Unit 16 | Python: Introduction to Python, Tokens, Variables, Data Types, I/O, Operators & Expressions, Control Flow & Looping, Collections & Strings, Functions & Modules, File Handling & Data Analysis, DSA using Python
  24. Full Length Mock Tests — General Paper:
  25. Full Length Mock Tests — Computer Science (Paper II):
  26. Full Length Mock Test – General + Computer Science:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video presents a lecture on the 'Alligation Method' for solving mixture and profit problems, a common topic in competitive exams. The instructor, Yash Jain, begins by introducing the topic with a title slide. He then presents two distinct problems. The first problem asks for the ratio of water to alcohol to be mixed so that a 22.5% profit is made when the mixture is sold at the cost price of the alcohol. The second problem asks for the ratio of water to milk to gain a 16.66% profit when the mixture is sold at the cost price of milk. For both problems, the instructor uses the alligation method, which involves setting up a diagram to find the ratio of the cheaper and dearer components. He demonstrates the method by first calculating the mean price using the formula: Mean Price = CP * (100 / (100 + P)), where CP is the cost price and P is the profit percentage. He then applies the alligation rule: (Dearer - Mean) : (Mean - Cheaper) to find the required ratio. The video concludes with a 'Thanks for Watching' screen.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with an animated title card featuring a scientist in a lab, with the word 'MIXTURE' displayed at the bottom. This transitions to a presentation slide with a geometric background. The slide is titled 'MIXTURES & ALLIGATIONS' and is attributed to 'Yash Jain'. A small video window in the bottom right corner shows the instructor, Yash Jain, speaking. The slide also contains a copyright notice for 'KNOWLEDGE GATE EDUVENTURES'. The instructor introduces the topic of mixtures and alligations, setting the stage for the lesson.

  2. 2:00 – 5:00 02:00-05:00

    The first problem is presented on the slide: 'Que: In what ratio water and alcohol be mixed so that even after selling the mixture at Cost Price, a profit of 22.5% is received?'. The instructor begins to solve this by setting the cost price (CP) of alcohol to 10 and the selling price (SP) to 10, as the mixture is sold at the cost price of the alcohol. He then calculates the profit percentage (P) as 22.5%. He writes the formula for the mean price: 'Mean Price = CP (100 / (100 + P))'. He substitutes the values, writing '10 (100 / (100 + 22.5))', which simplifies to '10 (100 / 122.5)'. He then converts 122.5 to a fraction, writing '10 (100 / (245/2))', which simplifies to '10 (200 / 245)'. He further simplifies this to '10 (40 / 49)'. The instructor then begins to set up the alligation diagram, writing '0' for the cost price of water and '10' for the cost price of alcohol.

  3. 5:00 – 9:38 05:00-09:38

    The instructor completes the alligation diagram for the first problem. He writes the mean price as '400/49' and the cost prices as '0' and '10'. He calculates the differences: '10 - 400/49 = 90/49' and '400/49 - 0 = 400/49'. The ratio is then (90/49) : (400/49), which simplifies to 90:400 or 9:40. He concludes that the ratio of water to alcohol is 9:40. He then moves to the second problem: 'Que: In what ratio must water be mixed with milk to gain 16.66% on selling the mixture at cost price?'. He sets the cost price of milk (CP) to 10 and the profit (P) to 16.66%, which he writes as 50/3. He calculates the mean price as '10 (100 / (100 + 50/3))', which simplifies to '10 (300 / 350)' or '10 (6/7)'. He writes the mean price as '60/7'. He sets up the alligation diagram with '0' for water and '10' for milk. He calculates the differences: '10 - 60/7 = 10/7' and '60/7 - 0 = 60/7'. The ratio is (10/7) : (60/7), which simplifies to 10:60 or 1:6. He concludes that the ratio of water to milk is 1:6. The video ends with a 'THANKS FOR WATCHING' screen.

The video provides a clear, step-by-step demonstration of the alligation method for solving mixture problems. It begins by establishing the core concept: when a cheaper substance (like water) is mixed with a dearer one (like alcohol or milk), the profit is achieved by selling the mixture at the cost price of the dearer substance. The instructor systematically applies the formula for mean price and the alligation rule to two different scenarios. The key learning point is the methodical approach to setting up the alligation diagram, which visually represents the relationship between the cost prices of the components and the mean price of the mixture, allowing for the direct calculation of the required ratio.

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