Quick Revision & Practice Questions

Duration: 1 hr 12 min

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Inside: a video lesson and guided study material.

Module outline

  1. About Course: About the Course
  2. Section A: General Awareness: Polity, वैज्ञानिक उपलब्धियाँ और अनुसंधान / Scientific Achievements and Research, Biology, Chemistry, Static General Knowledge, History, Geography, Indian Economy, समसामयिकी / Current Affairs, Evolution of Indian Banking (Banking & Financial Awareness), Environment
  3. Section A: General Intelligence & Reasoning ability: श्रेणी / Series, कूट लेखन एवं कूट वाचन / Coding-Decoding, Data Sufficiency, अशाब्दिक तर्क / Non-Verbal Reasoning, Analytical Reasoning (Counting Figures Reasoning), रक्त संबंध / Blood Relations, Syllogisms, कथन आधारित तार्किक विवेचन / Statement-Based Reasoning, बैठक व्यवस्था एवं पहेलियाँ / Seating Arrangement and Puzzles, दिशा एवं दूरी / Direction and Distance, 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, आँकड़ों की पर्याप्तता एवं निर्णय क्षमता / Data Sufficiency and Decision Making, वर्णमाला एवं संख्या परीक्षण / Alphabet and Number Test, Crypt Arithmetic, 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, TCS NQT Advanced Reasoning Ability
  4. Section A: Arithmetical & Numerical Ability: अनुपात और समानुपात / Ratio and Proportion, Divisibility Rules, आँकड़ा निर्वचन / Data Interpretation, 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, लाभ, हानि और बट्टा / Profit, Loss and Discount, साधारण और चक्रवृद्धि ब्याज / Simple and Compound Interest, समय और कार्य / Time and Work, Pipe and Cistern, घन क्षेत्रमिति / Solid Mensuration, सरलीकरण, घातांक और करणी / Simplification, Indices and Surds, Algebra, Probability, Mental Ability, Age Problems, Partnership, Statistics, Arithmetic, Speed Mathematics and Basic Mathematics, Miscellaneous
  5. Section A: English Language & Comprehension: Vocabulary, Subject Verb Agreement (Verb Noun Agreement), Adjectives, Verbs and Tenses, Reading Comprehension, Parts of Speech, Sentence Construction, Prepositions and Conjunctions, Direct and Indirect Speech, Sentence Completion (Fill in the blanks), Sentence Structure and Common Errors, Modals, Transformation of Sentences, Sentence Correction (Error Correction), Adverb, Conjunction, Cloze Test (Cloze Passage)
  6. Section A: Hindi Language & Comprehension: 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
  7. Section B: Programming, Data Structures, OOP & Java: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling, Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing, Java, OOPS with C++, Language Design, Intro to Compilers, Visual Basics, Syntax Analysis: Bottom-Up, Object Oriented Technology
  8. Section B: Computer Networks, TCP/IP & Network Security: Introduction to CN, Data Communication, DLL: Flow Control, DLL: Access 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, Network Access Technologies, Network Security, Society, Law & Ethics, Mobile Computing, Net Layer:Routing Protocol, Cyber Safety and Security
  9. Section B: Teaching Methodology: वृद्धि और विकास / Growth and Development, Concept of Pedagogy, विकास के सिद्धांत / Theories of Development, समावेशी शिक्षा / Inclusive Education, Experiential Pedagogy, आकलन और मूल्यांकन / Assessment and Evaluation, समाजीकरण और जेंडर / Socialisation and Gender, National Education Policy (NEP) 2020, संज्ञानात्मक प्रक्रियाएँ / Cognitive Processes, शिक्षण योजना और शिक्षण कौशल / Teaching Planning and Teaching Skills, Personality Development, शिक्षण विधियाँ / Teaching Methods, अधिगम और व्यवहारवादी सिद्धांत / Learning and Behavioural Theories, Learners & Learning Process, Factors Affecting Teaching, शिक्षण विधियाँ एवं उपागम / Teaching Methods and Approaches, शिक्षण-अधिगम प्रक्रिया एवं कक्षा प्रबंधन / Teaching-Learning Process and Classroom Management, शिक्षण सहायक सामग्री एवं शैक्षिक तकनीकी / Teaching Aids and Educational Technology, सूक्ष्म शिक्षण एवं कक्षा संप्रेषण / Microteaching and Classroom Communication, आकलन एवं मूल्यांकन / Assessment and Evaluation, पाठ्यचर्या, कला एवं सह-शैक्षिक क्षेत्र / Curriculum, Arts and Co-curricular Areas, दिव्यांग बच्चों की शिक्षा / Education of Children with Disabilities, शिक्षक: गुण, व्यावसायिक नैतिकता एवं विकास / Teacher: Qualities, Professional Ethics and Development
  10. Section B: Digital Electronics / Boolean Logic: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation, Analog-Digital Conversion
  11. Section B: Operating Systems & Linux: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory, File Management, Disc Scheduling, Unix OS, Linux OS, Distributed Systems, Windows OS
  12. Section B: Data Base Management System: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, Relational Algebra, SQL, File Organization & Indexing, Transaction Management, Concurrency Control, Database Security & Authorization, Database Recovery, Data Warehousing & Mining
  13. Section B: Internet & Web Technologies: Website, Browser & Services, Internet Fundamentals, Web Design & Development, Protocols & Services, Web Publishing & Hosting, Server Side & Security, HTML Basics, CSS, Emerging Technologies, JavaScript-Basics, .Net Programming, Electronic Data Interchange and E-Commerce, XML
  14. Section B: Computer Fundamentals, IT Basics & Architecture: Basics of COA, Cache Memory Organization, Input Output Organisation, Register Transfer and Microoperations, Control Unit Design, Programming the Basic Computer, Terms & Abbreviations, MS Office Applications, Instr Formats & Modes, Floating Point Rep, कंप्यूटर के मूल सिद्धांत / Computer Fundamentals, साइबर सुरक्षा / Cyber Safety and Security, कंप्यूटर सॉफ़्टवेयर / Computer Software, ऑपरेटिंग सिस्टम / Operating System, वर्ड प्रोसेसिंग (MS Word) / Word Processing (MS Word), कंप्यूटर नेटवर्क / Computer Networks, प्रेज़ेंटेशन (MS PowerPoint) / Presentation Software (MS PowerPoint)
  15. Section B: Python Language: Introduction to Python, Tokens, Variables, Data Types, I/O, Operators & Expressions, Control Flow & Looping, Collections & Strings, Functions & Modules, File Handling & Data Analysis
  16. Section B: Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management, extras, Fundamentals of Systems and Information Systems
  17. Section B: Design & Analysis of Algorithms: Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Greedy Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos, Advanced Algorithms
  18. Section B: Mathematics: Linear Algebra, Calculus, Trigonometry, Vectors, Set Theory, Functions, Relations, Propositional and Predicate Logic, Research Process Steps, Graph Theory, समुच्चय, संबंध, फलन और विविक्त गणित / Sets, Relations, Functions and Discrete Mathematics, संख्या पद्धति और संख्या सिद्धांत / Number Systems and Number Theory, यूक्लिडीय ज्यामिति और क्षेत्रमिति / Euclidean Geometry and Mensuration, सांख्यिकी और प्रायिकता / Statistics and Probability, निर्देशांक ज्यामिति, सदिश और त्रिविमीय ज्यामिति / Coordinate Geometry, Vectors and 3D Geometry, बहुपद, समीकरण और सम्मिश्र संख्याएँ / Polynomials, Equations and Complex Numbers, समतल क्षेत्रमिति / Plane Mensuration, प्रतिचयन / Sampling
  19. Section B: Computer Graphics, Multimedia & Mobile Computing: Basics of Computer Graphics, 2-D Geometrical Transforms and Viewing, 3-D Object Representation, Geometric Transformations and Viewing, Multimedia
  20. Section B: Emerging Trends: Emerging Tech Trends, Knowledge Representation, Natural Language Processing, व्यापार, विपणन एवं उपभोक्ता संरक्षण / Trade, Marketing and Consumer Protection
  21. DSSSB Previous Year Paper:
  22. Business Studies and Management: Business Communication, प्रबंध के सिद्धांत एवं कार्य / Principles and Functions of Management, लेखांकन के आधार एवं लेन-देनों का अभिलेखन / Accounting Fundamentals and Recording of Transactions, Business Economics, ह्रास, अंतिम खाते व कंप्यूटरीकृत लेखांकन / Depreciation, Final Accounts and Computerised Accounting, Knowledge Management & New Economy
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This lecture is a quick revision and practice session on profit, loss, discount, and false-weight problems. It begins by defining Market Price (MRP), Selling Price (SP), and Cost Price (CP) using a numerical example: MRP = Rs. 1800, SP = Rs. 1500, CP = Rs. 1200. The instructor emphasizes that profit or loss percentage is always calculated on the Cost Price, while discount is calculated on the Marked Price. The core formulas presented are Profit = SP - CP, Loss = CP - SP (loss is negative profit), and Profit Percent = (Profit x 100) / CP. A key conceptual point is that profit/loss percentage is independent of quantity, demonstrated with an apple example where 1 apple gives Rs. 6 profit and 100 apples give Rs. 600 profit, but the percentage remains the same.

The lecture then derives two important formulas: SP = CP (100 + P% / 100) for profit and SP = CP (100 - L% / 100) for loss. The instructor explains that profit percentage is added to 100 and loss percentage is subtracted from 100. Several practice problems are solved using three methods: the Formula Method, the Percentage Method (assuming CP = Rs. 100), and the Ratio Method (converting percentages to simplified fractions). Examples include finding the cost price of an item sold at Rs. 300 with a 25% loss (CP = Rs. 400), finding the selling price of an article costing Rs. 560 sold at a 12.5% profit, and finding the selling price of a bicycle costing Rs. 3000 sold at a 15% loss (SP = Rs. 2550).

The session transitions to a COLGATE manufacturing problem where the instructor sets up an equation: 1000 = 60p - (40p + 3000), solving for p = 200 units. The final section covers false-weight problems, where a shopkeeper uses incorrect weights to gain profit. The shortcut formula presented is: Net Profit % = (Given P% + % decrease in weight) / (100 - % decrease in weight) x 100. Examples include using 920g for 1kg (gain = 8/92 x 100), using 800g for 1kg (gain = 25%), and a combined problem with 20% profit and 10% less weight (net profit = 33.1/3%). A universally applicable trick is also shown: [100 ± %] x (Actual weight / False weight) - 100, where + is used for profit and - for loss.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video introduces basic profit and loss concepts using a numerical example. The instructor defines Market Price (MRP) as Rs. 1800, Selling Price (SP) as Rs. 1500, and Cost Price (CP) as Rs. 1200 on a green board titled 'BASIC CONCEPTS'. The formulas Profit = SP - CP and Loss = CP - SP are displayed, with a note that 'Loss is nothing but negative profit'. A white panel shows the Profit Percent Formula: (Profit x 100) / C.P, alongside yellow text emphasizing 'Profit or Loss is calculated on Cost Price'. The instructor writes additional calculations: Discount = Rs. 300 = MP - SP = 1800-1500 and Profit = (SP - CP) = 1500-1200 = 300, noting SP > CP.

  2. 2:00 – 5:00 02:00-05:00

    The instructor transitions to a whiteboard example using apples to demonstrate that profit or loss percentage is independent of quantity. The board shows '1 apple -> Rs. 6 profit' and '100 apple -> Rs. 600 profit', with the conclusion 'Profit % / Loss % => independent of quantity'. The general percentage formula '% = (Obtained / Total) * 100' is presented alongside 'Profit % = (Profit / CP) * 100'. The instructor reinforces that profit/loss is calculated on Cost Price while discount is calculated on Marked Price, using a circled '500' and '10%' as visual aids.

  3. 5:00 – 10:00 05:00-10:00

    The lecture derives key formulas for Selling Price based on Cost Price and profit/loss percentages. The board displays 'SP = CP (100 + P% / 100)' for profit scenarios and 'SP = CP (100 - L% / 100)' for loss scenarios, both boxed in red. The instructor explains the basic rule that 'Profit % is always added to 100 and Loss% is always subtracted from 100'. The discount formula 'SP = MP [1 - (DISCOUNT % / 100)]' is also presented. A practice question appears: 'Find the cost price of Amul Paneer which is sold at Rs. 300 at a loss of 25%?'

  4. 10:00 – 15:00 10:00-15:00

    The instructor solves the Amul Paneer problem using three methods. The Formula Method shows '300 = CP * 75/100', yielding CP = Rs. 400. The Percentage Method assumes CP = Rs. 100, L% = 25%, so SP = Rs. 75, then scales to find CP = Rs. 400. The Ratio Method converts the 25% loss into a ratio of 1/4, establishing CP:SP = 4:3. A new problem is introduced: 'The cost price of an article is Rs. 560 and Munna Bhaiya sells it at profit of 12.5%. Find the selling price?'

  5. 15:00 – 20:00 15:00-20:00

    The video presents a series of profit and loss word problems. A problem about an article costing Rs. 560 sold at a 12.5% profit is displayed alongside a meme. A mobile costing Rs. 24000 sold at a 10% profit is solved using the ratio method (CP=10, P=1, SP=11). A bicycle costing Rs. 3000 sold at a 15% loss is solved by converting the 15% loss to a ratio (CP=20, L=3, SP=17), calculating the final selling price as Rs. 2550. The instructor emphasizes converting percentages to simplified fractions for easier calculation.

  6. 20:00 – 25:00 20:00-25:00

    The instructor solves a problem where an item is sold for Rs. 180 at a 10% loss, and the goal is to find the selling price for a 20% profit. Using the ratio method, the loss percentage is written as 1/10, and the cost price is calculated as Rs. 200. The selling price for a 20% profit is then calculated as Rs. 240. A second problem appears: 'The selling price of an item is Rs.165 and there is 10% profit. What should be the selling price for getting a profit of 25%?'

  7. 25:00 – 30:00 25:00-30:00

    The video continues with the Rs. 165 problem, applying ratio methods to find the new selling price for a 25% profit. The instructor demonstrates converting percentages into simple fractions (10% = 1/10, 25% = 1/4) to establish ratios between CP and SP. The session then transitions to a new topic, introducing a COLGATE manufacturing problem that involves calculating the number of units needed to achieve a specific weekly profit given selling price, variable costs, and overhead expenses.

  8. 30:00 – 35:00 30:00-35:00

    A cinematic clip of a man and woman in a supermarket transitions to the COLGATE problem slide. The question states: 'The manufacturer of COLGATE can sell all he can produce at the selling price of Rs. 60 each. If costs him Rs. 40 in materials and labour to produce each item, overhead expenses of Rs. 3000 per week, make a profit of at least Rs. 1000 per week.' Options are a) 200 b) 250 c) 300 d) All of these. The instructor defines units produced as 'p' and starts the equation SP = 60p, highlighting key terms like 'item' and '1000 per week'.

  9. 35:00 – 40:00 35:00-40:00

    The COLGATE problem is solved with red underlines on Rs. 60, Rs. 40, Rs. 3000 and a circled Rs. 1000. Handwritten working shows 'P = SP - CP', then '1000 = 60p - (40p + 3000)', simplifying to '4000 = 20p' and a boxed answer 'P = 200'. Side notes clarify 'SP = 60p earning' and 'expense CP = 40p + 3000'. The next slide introduces false-weight problems: 'A shopkeeper sells items at cost price but he uses a weight of 920 gram for 1 Kg. Find his gain percent.' with '80gm' circled in red.

  10. 40:00 – 45:00 40:00-45:00

    The false-weight problem with 920g for 1kg is solved using the formula 'profit % = Error / Actual wt x 100'. The calculation shows '= 80gm / 920gm x 100 = 8/92 x 100 = 8', with '80gm' circled and '1kg -> 920g' noted. A second problem appears: 'If in place of 1 kg weight, a weight of 800 grams is used and the goods are sold at cost price, find the profit percent.' A third problem reads: 'A dealer sells items at 20% profit and also uses a weight which is 10% less than actual, find his net profit percent.'

  11. 45:00 – 50:00 45:00-50:00

    The instructor applies the shortcut formula for net profit percent with false weights: 'P% = (given P% + % decrease in wt) / (100 - % decrease in wt) * 100'. The 800g for 1kg problem yields a 25% profit. The combined problem with 20% profit and 10% less weight gives 'Net % profit = (20 + 10) / (100 - 10) * 100 = 33.1/3 %'. A new problem is presented: 'A shopkeeper is selling good at a loss of 12.5% but he is using a weight of 25 gram against actual weight of 30 gram.'

  12. 50:00 – 55:00 50:00-55:00

    The 12.5% loss with 25g against 30g actual weight problem is solved using the shortcut formula, adjusting signs for loss scenarios. The instructor demonstrates converting weight differences into percentages to apply the formula consistently. The session reinforces that the same logic applies for net loss scenarios by adjusting signs in the numerator, maintaining the denominator as (100 - % decrease in weight).

  13. 55:00 – 60:00 55:00-60:00

    The video presents a universally applicable short trick for false-weight problems. The whiteboard shows the heading '* Universally applicable short trick for such problems' above the formula 'find [100 ± %] × Actual wt / false wt - 100'. A bracketed cue reads '[Use + for % and -' for loss %]', with the formula rewritten in red marker. A printed question states a shopkeeper sells at a loss of 20% using a weight of 20 gram against actual weight of 30 gram, asking for the net percentage profit or loss.

  14. 60:00 – 65:00 60:00-65:00

    The universal trick is applied to the 20% loss with 20g against 30g actual weight problem. Red working shows '(100-20)' with a 30 over 20 fraction, then '120 - 100' and a circled result, with '80% profit' written in red on the left. The instructor demonstrates that even when selling at a loss, using a significantly lighter false weight can result in an overall profit. The formula is rewritten clearly for student reference.

  15. 65:00 – 70:00 65:00-70:00

    The session continues reinforcing the universal false-weight formula with additional examples and clarifications. The instructor emphasizes the importance of correctly identifying actual weight versus false weight in the formula '[100 ± %] × Actual wt / false wt - 100'. The distinction between using + for profit and - for loss is reiterated, ensuring students can apply the trick to any combination of given profit/loss percentage and weight discrepancy.

  16. 70:00 – 72:00 70:00-72:00

    The video concludes with final review of the false-weight problems and their solutions. The instructor summarizes the key takeaways: profit/loss percentage is calculated on cost price, discount on marked price, and the universal trick for false-weight problems. The session ends with a reminder to practice converting percentages to simplified fractions and using ratio methods for quick calculations in profit and loss problems.

The lecture follows a structured progression from foundational definitions to advanced problem-solving techniques. It begins with the basic concepts of MRP, SP, and CP, establishing that profit/loss is calculated on cost price while discount is on marked price. The independence of percentage from quantity is a critical conceptual anchor, demonstrated through the apple example. The middle section focuses on three solution methods (Formula, Percentage, Ratio) applied to standard profit/loss problems. The ratio method is particularly emphasized for quick calculations, involving conversion of percentages to simplified fractions (e.g., 15% = 3/20, 10% = 1/10). The COLGATE problem introduces algebraic equation setup for real-world business scenarios, bridging arithmetic and algebra. The final section on false-weight problems introduces a powerful shortcut formula that combines given profit/loss percentage with weight discrepancy. The universal trick '[100 ± %] × Actual wt / false wt - 100' is presented as a versatile tool applicable to any combination of profit/loss and weight error. The lecture demonstrates that even selling at a loss can yield overall profit if the false weight is sufficiently lighter than actual, as shown in the 20% loss with 20g/30g example yielding 80% profit.

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