Find Overall Profit & Loss Percentage

Duration: 7 min

This video lesson is available to enrolled students.

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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: अनुपात और समानुपात / Ratio and Proportion, Divisibility Rules, मिश्रण और एलिगेशन / Mixture and Alligation, Permutation and Combination, Logarithm, संख्या पद्धति / Number System, महत्तम समापवर्तक और लघुत्तम समापवर्त्य / HCF and LCM, Sequence and Series (Series), समय, चाल और दूरी / Time, Speed and Distance, प्रतिशत / Percentage, औसत / Average, घन क्षेत्रमिति / Solid Mensuration, Age Problems, Arithmetic, Statistics, Probability, लाभ, हानि और बट्टा / Profit, Loss and Discount, साधारण और चक्रवृद्धि ब्याज / Simple and Compound Interest, Partnership, Speed Mathematics and Basic Mathematics, Algebra, सरलीकरण, घातांक और करणी / Simplification, Indices and Surds, समय और कार्य / Time and Work, Pipe and Cistern, RSSB Specific Videos - Basic Numeracy, 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
  3. Paper-1 & 2 | Data Interpretation: आँकड़ा निर्वचन / Data Interpretation
  4. Paper-1 & 2 | General Mental Ability: Mental Ability, RSSB Specific Videos - Mental Ability
  5. Paper-1 & 2 | Logical Reasoning and Analytical Ability: श्रेणी / Series, कूट लेखन एवं कूट वाचन / Coding-Decoding, Data Sufficiency, अशाब्दिक तर्क / Non-Verbal Reasoning, 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, सादृश्यता एवं वर्गीकरण / Analogy and Classification, क्रम एवं रैंकिंग / Order and Ranking, कथन आधारित तार्किक विवेचन / Statement-Based Reasoning, Data Arrangement, वर्णमाला एवं संख्या परीक्षण / Alphabet and Number Test, Crypt Arithmetic
  6. Paper-1 & 2 | Decision Making and Problem Solving: आँकड़ों की पर्याप्तता एवं निर्णय क्षमता / Data Sufficiency and Decision Making
  7. Paper-1 | General Science: वैज्ञानिक उपलब्धियाँ और अनुसंधान / Scientific Achievements and Research, Biology, Chemistry, RSSB Specific Videos
  8. Paper-1 | General Awareness: राज्य विशेष सामान्य ज्ञान / State-Specific General Knowledge, समसामयिकी / Current Affairs
  9. Paper-2 | Fundamentals of Computer: Basics of COA, Number System, Floating Point Rep, Number Representation
  10. Paper - 2 | Digital Logic Systems: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits
  11. Paper-2 | Operating Systems: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Deadlock, Threads & Process Creation, Memory Management, Virtual Memory, Disc Scheduling, File Management, Linux OS, Distributed Systems
  12. Paper-2 | Database Management System: 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
  13. Paper-2 | Data Structures: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing
  14. Paper-2 | C Programming: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  15. Paper 2 | Oops, C++, Java: Language Design, OOPS with C++, Java, .Net Programming, Java Fundamentals
  16. 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
  17. Paper 2 | Emerging Trends and AI: Emerging Tech Trends, कंप्यूटर के मूल सिद्धांत / Computer Fundamentals, व्यापार, विपणन एवं उपभोक्ता संरक्षण / Trade, Marketing and Consumer Protection, कंप्यूटर नेटवर्क / Computer Networks
  18. Paper-2 | Algorithms: Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Greedy Algorithms, Advanced Algorithms
  19. Paper 2 | Data Communication and Network Security: 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, Net Layer:Routing Protocol, Transport Layer Services, TL: Congestion & UDP, Application Layer, Hardware basics, Network Security, Ethical Hacking
  20. Paper-2 I Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
  21. Paper-2 | Computer Organization and Architecture: Cache Memory Organization, Input Output Organisation, Instr Formats & Modes, Control Unit Design, Register Transfer and Microoperations
  22. Paper-2 | Web Development: JavaScript-Basics, HTML Basics, CSS, XML
  23. Pedagogy: वृद्धि और विकास / Growth and Development, Concept of Pedagogy, संज्ञानात्मक प्रक्रियाएँ / Cognitive Processes, विकास के सिद्धांत / Theories of Development, समावेशी शिक्षा / Inclusive Education, Experiential Pedagogy, समाजीकरण और जेंडर / Socialisation and Gender, National Education Policy (NEP) 2020
  24. Live Sessions: RSSB Live Sessions
  25. RSSB Paper 1 - Full Mock Tests:
  26. RSSB Paper 2 - Full Mock Tests:
  27. SCI Previous Year Papers:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video presents a tutorial on solving profit and loss problems, a common topic in competitive exams. The instructor, Yash Jain Sir from Knowledge Gate, begins by introducing a problem where a person sells two items at the same selling price, making a 10% profit on one and a 10% loss on the other, and asks for the overall profit or loss percentage. He then demonstrates a 'short trick' method to solve this, using the formula for overall loss percentage: (Profit/Loss %)^2 / 100. The video then transitions to a second problem involving two cycles sold at the same price, with a 20% profit on one and a 20% loss on the other, and an overall loss of Rs. 18. The instructor uses the same method to find the difference in the cost prices of the two cycles. The lesson is delivered through a combination of on-screen text, a green chalkboard for calculations, and a live video feed of the instructor.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with a title card showing a 3D figure on a balance scale with the words 'PROFIT' and 'LOSS'. It then transitions to a lecture format. The instructor, Yash Jain Sir, introduces the first problem (Q1) displayed on the screen: 'A person on selling 2 match stick boxes at the same rate gains profit of 10% on 1 box and 10% loss on other box. Find the overall profit % or loss %?'. The problem is noted as being from the ATOS EXAM (2018). The instructor begins to explain the concept, setting up the context for a 'short trick' to solve the problem.

  2. 2:00 – 5:00 02:00-05:00

    The instructor begins solving the first problem on a green chalkboard. He writes 'CPS' (Cost Price of Selling) and 'CLS' (Cost Price of Loss) to represent the two items. He then writes the formula for profit: 'P = 10 = 1/10', and for loss: 'L = 10 = 1/10'. He explains that the selling price is the same for both items. He uses the 'short trick' formula for overall loss percentage: (Profit/Loss %)^2 / 100. He calculates (10)^2 / 100 = 100 / 100 = 1%. He concludes that the overall loss is 1%.

  3. 5:00 – 6:37 05:00-06:37

    The video transitions to the second problem (Q2), which is displayed on the screen: 'Two cycles are sold at same selling price. The first cycle is sold at 20% profit while the second cycle is sold at 20% loss, the overall loss encountered is Rs. 18, find the difference of cost price of both?'. The problem is noted as being from the JIO EXAM (2019). The instructor applies the same 'short trick' method. He uses the formula for overall loss percentage: (20)^2 / 100 = 4%. He states that this 4% loss corresponds to Rs. 18. He then calculates the total cost price (CP) as 18 / 4 * 100 = Rs. 450. He then calculates the individual cost prices: CP1 = 450 * 100 / 120 = Rs. 375 and CP2 = 450 * 100 / 80 = Rs. 562.5. Finally, he finds the difference: 562.5 - 375 = Rs. 187.5. The video ends with a 'THANKS FOR WATCHING' screen.

The video provides a clear and concise tutorial on a specific type of profit and loss problem. It demonstrates a powerful 'short trick' method for calculating the overall loss when two items are sold at the same price, one at a profit and the other at a loss. The key insight is that the overall loss percentage is the square of the individual percentage divided by 100. The instructor effectively applies this formula to two different problems, first to find the percentage loss and then to find the absolute difference in cost prices given the total loss amount. The progression from a conceptual problem to a numerical one reinforces the method's utility for competitive exam preparation.

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