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

Duration: 10 min

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Inside: a video lesson and guided study material.

Module outline

  1. About the Course: About the Course
  2. 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
  3. Paper-1 & 2 | Data Interpretation / आँकड़ों की व्याख्या: Data Interpretation / आँकड़ा निर्वचन
  4. Paper-1 & 2 | General Mental Ability / सामान्य मानसिक योग्यता: Mental Ability / मानसिक योग्यता, RSSB Specific Videos - Mental Ability / RSSB विशेष वीडियो - मानसिक योग्यता
  5. 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
  6. Paper-1 & 2 | Decision Making and Problem Solving / निर्णय लेना एवं समस्या समाधान: Data Sufficiency and Decision Making / आँकड़ों की पर्याप्तता एवं निर्णय क्षमता
  7. 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
  8. Paper-1 | General Awareness / सामान्य जागरूकता: State-Specific General Knowledge / राज्य विशेष सामान्य ज्ञान, Current Affairs / समसामयिकी
  9. Paper - 2 | Digital Logic Systems: Digital Systems & Boolean Basics, Logic Gates & Hardware, Combinational Circuit, Sequential Circuits
  10. Paper-2 | Database Management System: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, Relational Calculus, Relational Algebra, SQL, NoSQL
  11. Paper-2 | Data Structures & Algorithms: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Algorithm Analysis, Sorting Algorithms, Intro to Compilers, Hashing
  12. Paper 2 | Data Communication and Network Security: Introduction to CN, Data Communication, Data Link Layer - Ethernet, DLL: Error Control, Net Layer: IPv4 & Proto, Net Layer: IP Addressing, Application Layer, Hardware basics, Network Security, Ethical Hacking
  13. Paper-2 | Operating Systems: Introduction to OS, Process Management, Memory Management, File Management, Deadlock
  14. Paper-2 | Computer Organization and Architecture: 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, Number System, Number Representation
  15. Paper 2 | System Analysis and Design: Fundamentals of Systems and Information Systems, Fundamentals of Software Engineering, SDLC and Development Approaches, Software Documentation and Software Requirements Specification (SRS), SDD and Quality Assurance, Security, Risk Management & Maintenance, Software Testing
  16. Paper-2 | C Programming: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  17. Paper 2 | OOPS , C++ , JAVA: Language Design, OOPS with C++, Java, .Net Programming, Java Fundamentals
  18. Paper 2 | Python: Introduction to Python, Tokens, Variables, Data Types, I/O, Operators & Expressions, Control Flow & Looping, Collections & Strings, Functions & Modules, File Handling & Data Analysis
  19. Emerging Trends and AI: Emerging Tech Trends, Computer Fundamentals, Trade, Marketing and Consumer Protection / व्यापार, विपणन एवं उपभोक्ता संरक्षण, Internet of Things, Cloud Computing
  20. Paper-2 | Data Processing (Ms-Office): MS Office Applications, Computer Software, Operating System, Word Processing (MS Word), Presentation Software (MS PowerPoint)
  21. Paper-2 | Internet and Web Technologies: HTML Basics, CSS, XML, JavaScript-Basics, Internet Fundamentals, Protocols & Services, Web Publishing & Hosting, Server Side & Security, Emerging Technologies, Terms & Abbreviations, Cyber Threats and Malware Attacks, Role of Internet and Web Services, Security in Mobile and Wireless Computing, Cyber Safety and Security, Computer Networks
  22. Paper 2 | Pedagogy / शिक्षाशास्त्र: Growth and Development / वृद्धि और विकास, Theories of Development / विकास के सिद्धांत, Concept of Pedagogy / शिक्षाशास्त्र की संकल्पना, Inclusive Education / समावेशी शिक्षा, Experiential Pedagogy / अनुभवात्मक शिक्षाशास्त्र, Assessment and Evaluation / आकलन और मूल्यांकन, Cognitive Processes / संज्ञानात्मक प्रक्रियाएँ, Socialisation and Gender / समाजीकरण और जेंडर, National Education Policy (NEP) 2020 / राष्ट्रीय शिक्षा नीति (NEP) 2020
  23. Live Classes: RSSB Live Sessions
  24. Paper 1 - Full Mock Tests:
  25. Paper 2 - Full Mock Tests:
  26. BCI Previous Year Papers:
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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