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. English Comprehension: Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions), Reading Comprehension, Vocabulary, Idioms and Phrases, Narrative Sequencing, Critical Reasoning
  2. Reasoning and Aptitude: Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Analogy, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Blood Relations, Directions (Direction Test), Ranking, Order and Sequence, Logical Sequence Of Words, Seating Arrangements, Puzzle Solving (Puzzles), Syllogisms, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Data Sufficiency, Selection Decision Table (Decision Making), Calendar, Clock, Cubes & Dices, Data Arrangement, Venn Diagram, Analytical Reasoning (Counting Figures Reasoning), Number System, HCF LCM, Percentage, Ratio and Proportion (Ratios), Average, Profit and Loss, Simple Interest and Compound Interest, Speed Time and Distance, Mensuration and Geometry, Arithmetic, Mixture and Alligation, Age Problems, Data Interpretation, 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, Simplification and Approximation, Assembling and Grouping of Shapes, Transformation of Shapes, Three-Dimensional Patterns and Visualization, Cubes and Dice, Algebra, Traverse Surveying, Clocks and Calendars, Order, Ranking and Sequence, Constraint Puzzles, Syllogisms and Venn Diagrams, Ratio and Proportion, Mensuration, Permutations and Combinations, Project Monitoring, Resources and Safety, Profit, Loss and Discount, Sequences and Series, Powers, Surds and Logarithms, Subject-Verb Agreement, Sentence Completion, Geometry, Probability, Trigonometry, Measurement and Quantity Take-Off, Statistics, Data Sufficiency, Blood Relations, Speed, Time and Distance, Time and Work, Data Interpretation, Sequence and Series (Series), Algebra, Permutation and Combination, Combinatorics
  3. General Awareness: Physics, Chemistry, Biology, Geography, History, Polity, Indian Economy
  4. Computer Fundamentals: Basics of COA, Number System, Number Representation, Semiconductor Memories and Programmable Logic, Timing, Hazards and Testing, Processor Organization and Instructions, Number Systems and Codes, Combinational Logic Design, Combinational Logic Circuits, Number Systems and Codes
  5. Operating System: Introduction to OS, Unix OS, Linux OS
  6. C Programming: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  7. OOPS with C++ & Java: OOPS with C++, Java
  8. Database Management System: Basics of DBMS, SQL
  9. MS Office: MS Office Applications
  10. Internet & Web Technologies: Website, Browser & Services, Internet Fundamentals, Web Design & Development, Protocols & Services
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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