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. Section 1 | Language (Hindi): भाषा, लिपि और वर्ण, वर्तनी, वर्ण-विन्यास, अनुस्वार, अनुनासिक, चंद्रबिंदु और ‘र’ के रूप, शब्द, पद और शब्द-भेद, संज्ञा और सर्वनाम, पद-भेद और रूप-विकार, लिंग, वचन, पुरुष और कारक, काल, वाच्य, वाक्य और वाक्य-भेद, संधि, समास, विलोम शब्द, पर्यायवाची शब्द, सामान्य अशुद्धियाँ, अनेक शब्दों के लिए एक शब्द, शब्द-भंडार, अपठित बोध, Multi-Topic Content (Cross-Concept Material), वर्णमाला
  3. Section 1 | Language (उर्दू भाषा — 22 प्रश्न (निश्चित)): رسم الخط، حروفِ تہجی اور املا / Script, Alphabet and Spelling, اسم، ضمیر اور صفت / Nouns, Pronouns and Adjectives, الفاظ، محاورے اور ضرب الامثال / Vocabulary, Idioms and Proverbs, تفہیمِ عبارت، انشا اور ترجمہ / Comprehension, Writing and Translation, Comprehension
  4. Section 1 | Language (বাংলা / बांग्ला भाषा — 22 प्रश्न (निश्चित)): শব্দার্থ, বাগধারা ও ভাষাশুদ্ধি / Meaning, Idioms and Correct Usage, বাক্য ও বাচ্য / Sentences and Voice, শব্দগঠন ও শব্দভান্ডার / Word Formation and Vocabulary, অনুবাদ, বোধপরীক্ষণ ও রচনা / Translation, Comprehension and Composition
  5. Section 1 | Language (English): Vocabulary, Noun, Subject Verb Agreement (Verb Noun Agreement), Adjectives, Verbs and Tenses, Pronoun, Verb, Adverb, Prepositions and Conjunctions, Parts of Speech, Determiner, Conjunction, Modals, Transformation of Sentences, Direct and Indirect Speech, Sentence Correction (Error Correction), Sentence Completion (Fill in the blanks), Sentence Construction, Sentence Structure and Common Errors, Reading Comprehension, Cloze Test (Cloze Passage), Verbal Analogy (Word Based Analogy), Facts, Inference and Judgements
  6. Section 2 | Primary Maths & Reasoning: अनुपात और समानुपात / Ratio and Proportion, Divisibility Rules, मिश्रण और एलिगेशन / Mixture and Alligation, Permutation and Combination, संख्या पद्धति / Number System, महत्तम समापवर्तक और लघुत्तम समापवर्त्य / HCF and LCM, Sequence and Series (Series), समय, चाल और दूरी / Time, Speed and Distance, श्रेणी / Series, कूट लेखन एवं कूट वाचन / Coding-Decoding, अशाब्दिक तर्क / Non-Verbal Reasoning, प्रतिशत / Percentage, औसत / Average, लाभ, हानि और बट्टा / Profit, Loss and Discount, साधारण और चक्रवृद्धि ब्याज / Simple and Compound Interest, समय और कार्य / Time and Work, घन क्षेत्रमिति / Solid Mensuration, Age Problems, Arithmetic, सरलीकरण, घातांक और करणी / Simplification, Indices and Surds, Algebra, Probability, Trigonometry, Syllogisms, बैठक व्यवस्था एवं पहेलियाँ / Seating Arrangement and Puzzles, रक्त संबंध / Blood Relations, दिशा एवं दूरी / Direction and Distance, Analytical Reasoning (Counting Figures Reasoning), गणितीय संक्रियाएँ एवं लुप्त संख्या / Mathematical Operations and Missing Numbers, कैलेंडर एवं घड़ी / Calendar and Clock, Clock, घन, पासा एवं आकृतियों की गिनती / Cubes, Dice and Figure Counting, वेन आरेख, न्याय वाक्य एवं असमानता / Venn Diagrams, Syllogism and Inequalities, Data Arrangement, Inequality, सादृश्यता एवं वर्गीकरण / Analogy and Classification, क्रम एवं रैंकिंग / Order and Ranking, समुच्चय, संबंध, फलन और विविक्त गणित / Sets, Relations, Functions and Discrete Mathematics, संख्या पद्धति और संख्या सिद्धांत / Number Systems and Number Theory, निर्देशांक ज्यामिति, सदिश और त्रिविमीय ज्यामिति / Coordinate Geometry, Vectors and 3D Geometry, बहुपद, समीकरण और सम्मिश्र संख्याएँ / Polynomials, Equations and Complex Numbers
  7. Section 2 | General Awareness (GK + Current Affairs): Polity, वैज्ञानिक उपलब्धियाँ और अनुसंधान / Scientific Achievements and Research, Biology, राज्य विशेष सामान्य ज्ञान / State-Specific General Knowledge, Chemistry, History, Geography, Indian Economy, Environment, समसामयिकी / Current Affairs, Static General Knowledge
  8. Section 3 | Computer System and Org. (CSO): Basics of COA, Floating Point Rep, Cache Memory Organization, Instr Formats & Modes, Programming the Basic Computer, Input Output Organisation, Register Transfer and Microoperations, Control Unit Design
  9. Section 3 | Database Management System: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, SQL, File Organization & Indexing, Relational Algebra, Relational Calculus, Transaction Management, Concurrency Control
  10. Section 3 | Operating System: Introduction to OS, Process Management, CPU Scheduling, Threads & Process Creation, Memory Management, Virtual Memory, Disc Scheduling, File Management, Process Synchronization
  11. Section 3 | Computer Networks: Introduction to CN, Data Communication, DLL: Access Control, DLL: Flow Control, DLL: Error Control, Data Link Layer - Ethernet, Net Layer: IPv4 & Proto, Net Layer: IP Addressing, Transport Layer Services, TL: Congestion & UDP, Application Layer, Hardware basics
  12. Section 3 | Data Structures: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing, Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Greedy Algorithms, Minimum Spanning Trees, Shortest Path Algos
  13. Section 3 | Theory Of Computation & Compiler Design: Introduction to TOC, Deterministic FA (DFA), Non-Deterministic FA, Regular Expressions, Grammar, Regular Language Properties, Moore & Mealy Machines, Pushdown Automata & CFG, Turing Machines, Intro to Compilers, Lexical Analysis, Grammar & CFG, Syntax Analysis: Top-Down, Syntax Analysis: Bottom-Up, Semantic Analysis & SDT, Intermediate Code Gen, Code Optimization
  14. Section 3 | Emerging Trends (AI, Societal Ethics & MS Office): कंप्यूटर के मूल सिद्धांत / Computer Fundamentals, Emerging Tech Trends, Society, Law & Ethics, MS Office Applications, व्यापार, विपणन एवं उपभोक्ता संरक्षण / Trade, Marketing and Consumer Protection, साइबर सुरक्षा / Cyber Safety and Security, कंप्यूटर सॉफ़्टवेयर / Computer Software, ऑपरेटिंग सिस्टम / Operating System, कंप्यूटर नेटवर्क / Computer Networks, वर्ड प्रोसेसिंग (MS Word) / Word Processing (MS Word), Terms & Abbreviations, प्रेज़ेंटेशन (MS PowerPoint) / Presentation Software (MS PowerPoint)
  15. Section 3 | Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Maintenance and Configuration Management, Software Testing
  16. Section 3 | C Programming: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  17. Section 3 | OOPS, C++, JAVA, HTML: OOPS with C++, Java, HTML Basics, CSS
  18. Section 3 | Java: Java Fundamentals, Array, String, IO & References, OOPS with Java
  19. Section 3 | Python: Introduction to Python, Tokens, Variables, Data Types, I/O, Operators & Expressions, Control Flow & Looping, Collections & Strings, Functions & Modules, File Handling & Data Analysis
  20. Section 3 | Digital Electronics: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation
  21. Section 3 | Multimedia: Multimedia
  22. BPSC Previous Year Papers:
  23. BPSC Full Mock Tests:
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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