Selling item in 2 parts with given profit% or loss% (3)

Duration: 9 min

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Module outline

Numerical Ability & Problem Solving: Speed Mathematics and Basic Mathematics, Arithmetic, Number System, HCF LCM, Divisibility Rules, Percentage, Ratio and Proportion (Ratios), Average, Profit and Loss, Simple Interest and Compound Interest, Mixture and Alligation, Time and Work, Pipe and Cistern, Speed Time and Distance, Age Problems, Partnership, Data Interpretation, Mental Ability, Sequence and Series (Series), Powers and Exponents (Surds and Indices), Algebra, Statistics, Logarithm, Mensuration and Geometry, Permutation and Combination, Probability, Sequences and Series, Powers, Surds and Logarithms, Subject-Verb Agreement, Sentence Completion, Geometry, Sentence Structure and Correction, Data Sufficiency, Trigonometry, Measurement and Quantity Take-Off, Signal Space and Optimum Detection, Probability, Statistics, Algebra, Time and Work, Speed, Time and Distance, Data Interpretation, Combinatorics
Logical Reasoning: Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Data Sufficiency, Syllogisms, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Seating Arrangements, Blood Relations, Directions (Direction Test), Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Analytical Reasoning (Counting Figures Reasoning), Puzzle Solving (Puzzles), Calendar, Clock, Cubes & Dices, Logical Sequence Of Words, Venn Diagram, Data Arrangement, Inequality, Analogy, Ranking, Order and Sequence, Selection Decision Table (Decision Making), Alphabet and Word Tests, Numerical Reasoning, Number System, Averages, Mixtures and Alligation, Percentages, Series Completion, Analogy and Classification, Patterns in Two-Dimensional Figures, Coding and Decoding, Mathematical Operations, Direction Sense, Logical Deduction and Induction, Syllogisms and Venn Diagrams, Critical Reasoning, Order, Ranking and Sequence, Reading Comprehension, Profit, Loss and Discount, Constraint Puzzles, Traverse Surveying, Ratio and Proportion, Mensuration, Permutations and Combinations, Clocks and Calendars, Assembling and Grouping of Shapes, Transformation of Shapes, Three-Dimensional Patterns and Visualization, Cubes and Dice, Vocabulary, Blood Relations
General Knowledge & Current Affairs (India + Rajasthan): History, Geography, Polity, Indian Economy, Static General Knowledge, State Wise GK, GK- Current Affairs, Environment, Physics
Computer Fundamentals & Operating Systems: Basics of COA, Floating Point Rep, Digital Systems & Boolean Basics, Number Representation, Number System, Introduction to OS, File Management, Windows OS, Unix OS, Linux OS, Register Transfer and Microoperations, Virtual Memory
Computer Networks: Introduction to CN, Data Communication, DLL: Error Control, DLL: Access Control, Data Link Layer - Ethernet, Net Layer: IPv4 & Proto, Application Layer, Hardware Basics, Network Security
Cyber Security: Cyber Threats and Malware Attacks, Role of Internet and Web Services, Security in Mobile and Wireless Computing, Electronic Data Interchange and E-Commerce, Physical Security and Cryptography Basics, Intrusion Detection Systems (IDS), Cyber Safety and Security, Ethical Hacking
Programming (C & OOP): C Fundamentals, Control Flow, Arrays & Pointers, Functions, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling, OOPS with C++, Operators & Expressions, Sorting Algorithms, Java Fundamentals, Java
MS Office & Data Processing: MS Office Applications, Basics of DBMS
Internet & Web Technology: Society, Law & Ethics, Terms & Abbreviations, Keyboard Shortcuts, Emerging Tech Trends, Artificial Intelligence, Emerging Technologies, Internet Fundamentals, Website, Browser & Services, Web Design & Development, Protocols & Services, Web Publishing & Hosting, Server Side & Security

AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video, presented by Yash Jain, is a tutorial on solving profit and loss problems where two items are sold at different profit and loss percentages, but the overall transaction results in no net profit or loss. The video begins with a title slide for 'MIXTURES & ALLIGATIONS' and transitions to a problem-solving session. The core concept demonstrated is the use of the alligation method, a technique for finding the ratio in which two or more ingredients at different prices must be mixed to produce a mixture at a given price. The instructor applies this method to two distinct problems: first, calculating the selling prices of two toy Tesla cars sold for a total of Rs. 1500, with one sold at a 3% loss and the other at a 7% profit, resulting in no overall profit or loss; second, solving a similar problem for two speakers sold for Rs. 1290, with one at a 9% loss and the other at a 12.5% profit. The solution process involves setting up a diagram with the profit and loss percentages, calculating the ratio of the cost prices, and then using this ratio to find the individual selling prices. The video concludes with a 'Thanks for Watching' screen.

Chapters

0:00 – 2:00 00:00-02:00
The video opens with a cartoon illustration of a scientist in a lab, followed by a title slide for a lecture on 'MIXTURES & ALLIGATIONS' by Yash Jain, a Knowledge Gate Educator. The instructor, visible in a small window, introduces the topic. The next slide presents the first problem: 'Two Toy Tesla Cars were sold for Rs. 1500. One was sold at a loss of 3% and the other at a profit of 7%. If there was no profit no loss on the whole, find the selling price of each Toy Tesla Car.' The instructor begins to explain the problem, setting up the context for the alligation method.
2:00 – 5:00 02:00-05:00
The instructor begins to solve the first problem using the alligation method. He writes on a digital whiteboard, showing the profit and loss percentages: +7% and -3%. He explains that the overall profit is 0%, which is the mean value. He then draws a diagram, placing the mean (0%) in the center, the profit (7%) on the left, and the loss (-3%) on the right. He calculates the difference between the mean and each extreme value, resulting in 7 and 3, respectively. This gives the ratio of the cost prices as 3:7. He then uses this ratio to find the cost prices, calculating 3/10 of 1500 as 450 and 7/10 of 1500 as 1050. Finally, he calculates the selling prices: 450 * 1.07 = 481.5 and 1050 * 0.97 = 1018.5.
5:00 – 9:11 05:00-09:11
The video transitions to a second problem: 'Two speakers were sold for Rs. 1290. On one, there was loss of 9% and on the other there was profit of 12.5%. If there was no profit no loss overall, find the selling price of each speaker.' The instructor applies the same alligation method. He writes the percentages: +12.5% and -9%. The mean is 0%. He calculates the differences: 12.5 - 0 = 12.5 and 0 - (-9) = 9. This gives a ratio of 9:12.5, which he simplifies to 18:25. He then calculates the cost prices: 18/43 of 1290 = 540 and 25/43 of 1290 = 750. Finally, he calculates the selling prices: 540 * 0.91 = 491.4 and 750 * 1.125 = 843.6. The video ends with a 'Thanks for Watching' screen.

The video provides a clear, step-by-step demonstration of the alligation method for solving profit and loss problems. It begins by establishing the core principle: when there is no overall profit or loss, the total cost price equals the total selling price. The instructor then uses a visual diagram to find the ratio of the cost prices of the two items based on their individual profit and loss percentages. This ratio is then applied to the total selling price to find the individual cost prices, from which the selling prices are calculated. The method is effectively demonstrated on two different problems, reinforcing the concept and showing its versatility.