Practice Problems on Ratio to Percentage Conversion

Duration: 10 min

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Inside: a video lesson and guided study material.

Module outline

  1. About the Course: About the Course
  2. Section 1 | भाषा (हिंदी) / 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, बहुविषयक सामग्री (विभिन्न अवधारणाओं से संबंधित सामग्री), वर्णमाला
  3. Section 1 | اردو زبان / Language (Urdu) — 22 Questions (Fixed): رسم الخط، حروفِ تہجی اور املا, اسم، ضمیر اور صفت, الفاظ، محاورے اور ضرب الامثال, تفہیمِ عبارت، انشا اور ترجمہ, تفہیم
  4. Section 1 | বাংলা ভাষা / Language (Bengali) — 22 Questions (Fixed): শব্দার্থ, বাগধারা ও ভাষাশুদ্ধি, বাক্য ও বাচ্য, শব্দগঠন ও শব্দভান্ডার, অনুবাদ, বোধপরীক্ষণ ও রচনা
  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 / प्राथमिक गणित एवं तर्कशक्ति: Ratio and Proportion / अनुपात और समानुपात, Divisibility Rules / विभाज्यता के नियम, Mixture and Alligation / मिश्रण और एलिगेशन, Permutation and Combination / क्रमचय और संचय, Number System / संख्या पद्धति, HCF and LCM / महत्तम समापवर्तक और लघुत्तम समापवर्त्य, Sequences, Series and Combinatorics / अनुक्रम, श्रेणी और संयोजन, Time, Speed and Distance / समय, चाल और दूरी, Series / श्रेणी, Coding-Decoding / कूट लेखन एवं कूट वाचन, Non-Verbal Reasoning / अशाब्दिक तर्क, Percentage / प्रतिशत, Average / औसत, Profit, Loss and Discount / लाभ, हानि और बट्टा, Simple and Compound Interest / साधारण और चक्रवृद्धि ब्याज, Time and Work / समय और कार्य, Solid Mensuration / घन क्षेत्रमिति, Age Problems / आयु संबंधी प्रश्न, Arithmetic / अंकगणित, Simplification, Indices and Surds / सरलीकरण, घातांक और करणी, Algebra / बीजगणित, Probability / प्रायिकता, Trigonometry / त्रिकोणमिति, Syllogisms / न्यायवाक्य, Seating Arrangement and Puzzles / बैठक व्यवस्था एवं पहेलियाँ, Blood Relations / रक्त संबंध, Direction and Distance / दिशा एवं दूरी, Analytical Reasoning (Counting Figures Reasoning) / विश्लेषणात्मक तर्क (आकृति गणना तर्क), Mathematical Operations and Missing Numbers / गणितीय संक्रियाएँ एवं लुप्त संख्या, Calendar and Clock / कैलेंडर एवं घड़ी, Clock / घड़ी, Cubes, Dice and Figure Counting / घन, पासा एवं आकृतियों की गिनती, Venn Diagrams, Syllogism and Inequalities / वेन आरेख, न्याय वाक्य एवं असमानता, Data Arrangement / आँकड़ों की व्यवस्था, Inequality / असमानता, Analogy and Classification / सादृश्यता एवं वर्गीकरण, Order and Ranking / क्रम एवं रैंकिंग, Sets, Relations, Functions and Discrete Mathematics / समुच्चय, संबंध, फलन और विविक्त गणित, Number Systems and Number Theory / संख्या पद्धति और संख्या सिद्धांत, Coordinate Geometry, Vectors and 3D Geometry / निर्देशांक ज्यामिति, सदिश और त्रिविमीय ज्यामिति, Polynomials, Equations and Complex Numbers / बहुपद, समीकरण और सम्मिश्र संख्याएँ
  7. Section 2 | General Awareness (GK + Current Affairs) / सामान्य जागरूकता (GK + समसामयिकी): Polity / राजव्यवस्था, Scientific Achievements and Research / वैज्ञानिक उपलब्धियाँ और अनुसंधान, Biology / जीव विज्ञान, State-Specific General Knowledge / राज्य विशेष सामान्य ज्ञान, Chemistry / रसायन विज्ञान, History / इतिहास, Geography / भूगोल, Indian Economy / भारतीय अर्थव्यवस्था, Environment / पर्यावरण, Current Affairs / समसामयिकी, Static General Knowledge / स्थैतिक सामान्य ज्ञान
  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): Computer Fundamentals, Emerging Tech Trends, Society, Law & Ethics, MS Office Applications, Trade, Marketing and Consumer Protection / व्यापार, विपणन एवं उपभोक्ता संरक्षण, Cyber Safety and Security, Computer Software, Operating System, Computer Networks, Word Processing (MS Word), Terms & Abbreviations, Presentation Software (MS PowerPoint), Internet of Things, Cloud Computing
  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:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video, presented by Yash Jain of Knowledge Gate Eduventures, focuses on the mathematical topic of converting fractions into percentages. The primary objective is to equip students with rapid calculation techniques suitable for competitive examinations. The instructor utilizes a 'decomposition' strategy, where complex improper fractions are split into a whole number part and a fractional remainder. This allows students to convert the whole number part directly into a percentage (e.g., 3 becomes 300%) and then add the percentage equivalent of the remaining fraction. The lecture systematically works through six distinct problems, ranging from simple fractions with denominators like 4 and 5 to more complex ones involving 13 and 7, which require knowledge of recurring decimal values. The visual presentation includes a digital chalkboard interface where the instructor writes out each step, providing a clear, step-by-step guide for viewers to follow along and practice the methods demonstrated.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with a dynamic title card displaying the word 'PERCENTAGE' in large, bold black font against a white background, accompanied by animated blue dice falling from the top, each face marked with a percentage symbol. The scene transitions to a digital chalkboard background where the title 'PERCENTAGES' is written in a white, chalk-like font, underlined with a curved arrow. Below the title, a box reads '- By YASH JAIN'. In the bottom right corner, a small video feed shows the instructor, Yash Jain, wearing glasses and a black shirt. A copyright notice for 'KNOWLEDGE GATE EDUVENTURES' is visible at the bottom. The instructor introduces the topic, and a new slide appears with the text 'LET'S PLAY WITH SOME QUESTIONS ON PERCENTAGES' written in red, yellow, and light blue colors, setting the stage for the problem-solving session.

  2. 2:00 – 5:00 02:00-05:00

    The instructor begins with Question A, converting the fraction 13/4 into a percentage. He writes the fraction on the screen and demonstrates the standard method by multiplying by 100, resulting in 325%. He then introduces a decomposition technique, rewriting 13/4 as (12 + 1)/4, which separates into 12/4 + 1/4. He explains that 12/4 equals 3, and 1/4 equals 0.25, summing to 3.25 or 325%. Moving to Question B, 92/13, he decomposes the numerator into 91 + 1, creating the expression 91/13 + 1/13. He identifies 91/13 as 7, which converts to 700%. He then approximates 1/13 as 7.7%, adding it to get 707.7%. For Question C, 129/25, he splits the numerator into 125 + 4, forming 125/25 + 4/25. He calculates 125/25 as 5 (500%) and 4/25 as 16% (since 1/25 is 4%), arriving at a final answer of 516%. A grey box on the right side of the slide notes 'Asked in Multiple Exams'.

  3. 5:00 – 10:00 05:00-10:00

    The lecture continues with Question D, 23/5. The instructor decomposes this into 20/5 + 3/5. He converts 20/5 to 400% and 3/5 to 60%, summing them to 460%. For Question E, 41/13, he uses the decomposition 39/13 + 2/13. He identifies 39/13 as 300% and calculates 2/13 as approximately 15.4% (2 * 7.7%), totaling 315.4%. The final problem is Question F, 52/7. He breaks it down into 49/7 + 3/7. He converts 49/7 to 700% and adds the value of 3/7, which he writes as 42.857%, leading to a final answer of 742.857%. Throughout these examples, he emphasizes the importance of knowing key fraction-to-percentage conversions for speed. The slide background features a subtle geometric pattern.

  4. 10:00 – 10:08 10:00-10:08

    The instructional content concludes, and the screen changes to a solid black background. The text 'THANKYOU FOR WATCHING' appears in the center, with 'THANKYOU' in orange and 'FOR WATCHING' in white serif font, signaling the end of the lecture.

The video provides a comprehensive guide to fraction-to-percentage conversion, emphasizing mental math shortcuts. By breaking down numerators into the nearest multiple of the denominator, the instructor simplifies the calculation process. This technique is particularly useful for fractions with denominators like 13 and 7, where knowing the decimal expansions of 1/13 (7.7%) and 3/7 (42.857%) is essential. The structured progression from simple to complex examples ensures students build confidence and speed, which are critical for success in competitive exams. The use of decomposition transforms difficult division problems into simple addition of known percentages, making the process efficient and less prone to calculation errors under time pressure.

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