Find Overall Profit & Loss Percentage

Duration: 7 min

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Inside: a video lesson and guided study material.

Module outline

  1. Communication Round: Vocabulary, Subject Verb Agreement (Verb Noun Agreement), Tenses, Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions), Cloze Test (Cloze Passage), Sentence Correction (Error Correction), Sentence Completion (Fill in the blanks), Sentence Re-arrangements (Para Jumbles) (Narrative Sequencing), Direct and Indirect Speech, Active Passive Voice (Voice), Verbal Analogy (Word Based Analogy), Articles, Preposition, Conjunction, Sentence Construction, English Writing Ability, Communication Assessment
  2. Quantitative Aptitude: Ratio and Proportion (Ratios), Divisibility Rules, Data Interpretation, Mixture and Alligation, Permutation and Combination, Logarithm, Number System, HCF LCM, Speed Time and Distance, Percentage, Average, Powers and Exponents (Surds and Indices), Time and Work, Mensuration and Geometry, Age Problems, Pipe and Cistern, Probability, Profit and Loss, Simple Interest and Compound Interest, Algebra
  3. Analytical and Logical Reasoning: Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Data Sufficiency, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Directions (Direction Test), Ranking, Order and Sequence, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Selection Decision Table (Decision Making), Logical Sequence Of Words, Puzzle Solving (Puzzles), Syllogisms, Seating Arrangements, Calendar, Clock, Blood Relations, Cubes & Dices, Venn Diagram, Analytical Reasoning (Counting Figures Reasoning)
  4. Cognizant Gaming Aptitude: Gamified / Game Based Aptitude
  5. Java (Cluster 1): Java
  6. ANSI SQL MySQL (Cluster 1,2,3): SQL
  7. HTML, CSS, JavaScript (Cluster 1,3): HTML, CSS, JavaScript
  8. Python (Cluster 2): Python for Placements by Yash Sir
  9. Cloud Fundamentals (Cluster 2): Emerging Tech Trends
  10. C# (Cluster 3): C#
  11. OOPs: Object Oriented Programming (OOPS)
  12. Technical Assessment (Coding): Coding Questions by Yash Sir, C Programming by Yash Sir, Programming in C++, Pseudo Codes
  13. Data Structures: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing
  14. DBMS: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, File Organization & Indexing, Relational Algebra, Relational Calculus, Transaction Management, Concurrency Control, Database Recovery, ORDBMS, Database Security & Authorization, Query Processing & Optimization, Enhanced Data Models, Data Warehousing & Mining, Big Data Systems, NoSQL
  15. Operating Systems: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Deadlock, Threads & Process Creation, Memory Management, Virtual Memory, Disc Scheduling, File Management, Windows OS, Linux OS, Security, Distributed Systems, Virtual Machines
  16. 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, Hardware basics, Network Security, Mobile Technology, Cloud Computing and IoT, Cyber and Info Security
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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