Short Trick to Divide a Given Number X in ratio of M N

Duration: 16 min

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This educational video provides a comprehensive lecture on Ratio and Proportion, led by instructor Yash Jain. The lesson begins with fundamental definitions, illustrating ratios as comparisons of quantities using visual aids like pie charts and colorful graphics. The core of the lecture focuses on the method of dividing a given number 'x' into parts based on a specific ratio 'm:n'. Through a series of progressively complex word problems, the instructor demonstrates how to calculate individual shares in scenarios involving inheritance, business partnerships, and group distributions. Key techniques include summing ratio parts to find the value of a single unit and then multiplying by the respective ratio component. The video concludes with a review of combined ratios involving three or more variables, ensuring students are prepared for competitive exam questions.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video begins with an introductory title card reading "RATIO & PROPORTION" set against a dark background with a vibrant, multi-colored 3D pie chart. The instructor, Yash Jain, appears in a small window in the bottom right corner, introducing the topic. A subsequent slide defines a ratio as "a comparison of 2 quantities," accompanied by a visual representation of parts and wholes using colored dots. The aesthetic is playful, featuring a pink background with star and heart doodles, designed to keep students engaged while introducing fundamental mathematical concepts. The slide also mentions that ratios can be written in color, word, or fraction form.

  2. 2:00 – 5:00 02:00-05:00

    The instructor transitions to the specific problem type: "Dividing a given number 'x' in the ratio 'm:n'". He presents a "Story Time" scenario involving the inheritance of a house valued at 153 Lakh. The property is to be split between two sons, Suresh and Mahesh, in the ratio 4:5. The instructor writes out the calculation steps on the screen: summing the ratio parts (4+5=9) to find the total units. He then divides the total value by the total units (153/9) to find that one unit equals 17 Lakh. Finally, he multiplies this unit value by the individual ratios to find Suresh's share (4 * 17 = 68 Lakh) and Mahesh's share (5 * 17 = 85 Lakh), confirming the total adds up correctly.

  3. 5:00 – 10:00 05:00-10:00

    A new word problem is introduced involving a business partnership named "Sundar Taxi Ka Bhada Dega Private Limited". The partners are Jethalal, Sunderlal, and Taarak Bhai, with an efficiency ratio of 7:11:13. The total profit is stated as Rs. 10,85,000. The instructor calculates the total parts (7+11+13=31) and determines the value of a single part (10,85,000 / 31 = 35,000). The primary goal is to find Sunderlal's share, which corresponds to 11 parts. The calculation 11 * 35,000 yields 3,85,000. The instructor also briefly calculates the shares for Jethalal (2,45,000) and Taarak (4,55,000) to demonstrate the full distribution and verify the sum.

  4. 10:00 – 15:00 10:00-15:00

    The lesson covers combined ratios. A formula slide appears showing the general method: m -> (m / (m+n)) * x. First, Rs. 200 is divided among Neha, Tony, and Sonu. Given Neha:Tony = 2:3 and Tony:Sonu = 3:5, the instructor combines these into a single ratio N:T:S = 2:3:5. With 10 total parts, each part is worth 20. Neha's share is calculated as 2 * 20 = 40. The second problem involves Rs. 5000 divided among Guddu, Munna, JP Yadav, and Kaleen. The ratios G:M=1:2, M:JP=2:3, and JP:K=3:4 are combined into 1:2:3:4. With 10 total parts, each part is 500. The instructor calculates Munna's share (2 * 500 = 1000) as the final example.

  5. 15:00 – 15:30 15:00-15:30

    The video concludes with a simple black screen featuring the text "THANKS FOR WATCHING" in large, bold letters. The text is styled with an orange background for "THANKS" and white for "FOR WATCHING", providing a clear and professional end to the educational session.

The lecture effectively builds from basic definitions to practical application. It emphasizes the "unitary method" within ratios—finding the value of one part and scaling it up. The progression from simple two-variable division to complex multi-variable ratios (like 1:2:3:4) prepares students for competitive exam questions. The use of pop-culture references (Taarak Mehta characters) makes the abstract math more relatable. The consistent use of the "total parts" method reinforces a reliable problem-solving strategy. The examples are grounded in real-world scenarios like business and inheritance, making the abstract math more tangible for exam preparation. The instructor's clear handwriting and step-by-step breakdown on the digital whiteboard ensure that students can follow the logic easily.