Short Tricks to Remember Ratio to Percentage Table Part 3

Duration: 9 min

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Inside: a video lesson and guided study material.

Module outline

  1. Section A | English: Vocabulary, Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions), Preposition, Sentence Correction (Error Correction), Sentence Completion (Fill in the blanks), Articles, Sentence Re-arrangements (Para Jumbles) (Narrative Sequencing), Verbal Analogy (Word Based Analogy)
  2. Section A | Quant Aptitude: Ratio and Proportion (Ratios), Mixture and Alligation, Permutation and Combination, Number System, HCF LCM, Sequence and Series (Series), Speed Time and Distance, Arithmetic, Algebra, Powers and Exponents (Surds and Indices), Average, Age Problems, Percentage, Profit and Loss, Partnership, Time and Work, Simple Interest and Compound Interest, Mensuration and Geometry, Probability, Pipe and Cistern
  3. Section A | Reasoning: Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Data Sufficiency, Calendar, Clock, Blood Relations, Directions (Direction Test), Seating Arrangements, Ranking, Order and Sequence, Puzzle Solving (Puzzles)
  4. Section B | C Programming: C Programming by Yash Sir, Coding Questions by Yash Sir
  5. Section B | Data Structures: Algorithm Analysis, Greedy Algorithms, Time Complexity Analysis, Sorting Algorithms, Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs
  6. Section B | OOP (C++): Object Oriented Programming (OOPS), Programming in C++
  7. Section B | OS: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory, Disc Scheduling, File Management, Windows OS
  8. Section B | Networking: 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
  9. Section B | AI & Big Data Basics: AI & ML by Arun Sir, Big Data Systems
  10. Section C | Digital Electronics: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation, Analog-Digital Conversion
  11. Section A, C | Comp. Fundamentals, COA: Basics of COA, Floating Point Rep, Cache Memory Organization, Input Output Organisation, Pipelining, Instr Formats & Modes, Control Unit Design, Register Transfer and Microoperations, Multiprocessors, Programming the Basic Computer
  12. MOCK TEST:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video provides a comprehensive lesson on percentages and geometric progressions, led by instructor Yash Jain. The session begins with a visual introduction featuring falling dice marked with percentage signs, setting the theme for the lecture. The core content focuses on memorizing common ratio-to-percentage conversions and applying these concepts to solve summation problems involving geometric series. The instructor uses a combination of digital slides and handwritten calculations to demonstrate methods for quick mental math and pattern recognition.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with a title slide displaying the word PERCENTAGE in bold black letters above blue dice falling against a white background. The scene transitions to a chalkboard-style interface where PERCENTAGES - By YASH JAIN is written in white chalk. The instructor introduces a RATIO TO PERCENTAGE TABLE which serves as a reference guide. The table lists ratios in the left column and their corresponding percentages in the right. Visible entries include 1/1 equal to 100%, 1/2 equal to 50%, 1/3 equal to 33.33%, 1/4 equal to 25%, 1/5 equal to 20%, 1/8 equal to 12.5%, 1/16 equal to 6.25%, and 1/32 equal to 3.125%. This section establishes the foundational values required for rapid percentage calculation.

  2. 2:00 – 5:00 02:00-05:00

    The lesson progresses to a more detailed table covering ratios from 1/20 to 1/37. The instructor performs manual calculations on the right side of the screen to explain the derivation of these values. For instance, he writes 1/25 = 4% by showing the division of 100 by 25. He similarly calculates 1/30 as 3.33%. A significant portion of this segment is dedicated to explaining the value of 1/27, which is listed as 3.70%. The instructor writes complex arithmetic on the board, including 70 + 14 = 84 and 70 - 14 = 56, likely as a mnemonic or calculation aid for the 3.70% value. He circles the entry for 1/27 and 3.70% to highlight its importance. The table also displays values for 1/26 (3.84%), 1/28 (3.56%), 1/29 (3.42%), and 1/37 (2.70%). The instructor emphasizes these specific fractions as they are common in competitive exams.

  3. 5:00 – 9:16 05:00-09:16

    The final section shifts focus to a geometric progression GP summation problem. The instructor writes a long series equation: 1/2 + 1/4 + 1/8 + 1/16 + 1/32 + ... + 1/1024 + 1/2048 + 1/4096. He identifies this as a GP and lists four key properties on the right: decreasing, half, summation, and last term. To demonstrate the summation pattern, he works through smaller examples. He shows that 1/2 equals 1/2, 1/2 + 1/4 equals 3/4, and 1/2 + 1/4 + 1/8 equals 7/8. He circles the last term 1/64 in a separate example to illustrate that the numerator of the sum is always one less than the denominator of the last term. The video concludes with a black slide displaying THANKYOU FOR WATCHING in orange and white text.

The lecture effectively bridges basic percentage conversion with advanced series summation. By memorizing the ratio table, students can quickly solve percentage problems. The GP section teaches a pattern-based approach to summation, where the sum is always one less than the denominator of the last term. This combination of memorization and pattern recognition is a key strategy for time-efficient problem solving in mathematics.

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