COGNIZANT & ACCENTURE Asked Questions on Alligation Rule

Duration: 9 min

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AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video is a lecture on the topic of 'Mixtures & Alligations,' presented by an instructor named Yash Jain. The video begins with a title slide and then proceeds to solve two distinct problems using the alligation method. The first problem involves calculating the average price of a mixture of two types of hair oil priced at Rs. 10 and Rs. 12 per sachet, mixed in a 1:2 ratio. The instructor demonstrates the alligation rule by setting up a diagram with the prices and the ratio, then solving the resulting equation to find the average price of Rs. 11.33 per sachet. The second problem asks for the amount of a second type of oil (Rs. 5 per kg) needed to mix with 40 kg of a first type (Rs. 4 per kg) to create a mixture costing Rs. 4.6 per kg. The instructor again uses the alligation method, calculating the difference in prices and setting up a proportion to find the required amount of the second oil, which is 60 kg. The video concludes with a 'Thanks for Watching' screen.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with an animated title card featuring a cartoon scientist in a lab, with the word 'MIXTURE' partially visible. This transitions to a presentation slide with a geometric background. The slide displays the title 'MIXTURES & ALLIGATIONS' and credits the instructor as 'By Yash Jain'. A small video window in the bottom right corner shows the instructor, Yash Jain, speaking. The slide also includes a logo for 'YASH JAIN SIR' and 'KNOWLEDGE GATE EDUCATOR'. The instructor begins his lecture, introducing the topic of mixtures and alligations.

  2. 2:00 – 5:00 02:00-05:00

    The video transitions to a new slide presenting the first problem. The on-screen text reads: 'Que: Aatmaram Tukaram Bhide has two varieties of hair oil at Rs. 10 per sachet and Rs. 12 per sachet and he mixed both of them together in the ratio 1:2. Find the average price of resulting mixture?'. The instructor begins to solve this problem using the alligation method. He draws a diagram on the whiteboard, placing the prices 10 and 12 at the top, the average price 'x' in the middle, and the ratio 1:2 at the bottom. He then sets up the equation (12-x)/(x-10) = 1/2, which he proceeds to solve.

  3. 5:00 – 9:27 05:00-09:27

    The instructor continues solving the first problem. He cross-multiplies the equation (12-x)/(x-10) = 1/2 to get 2(12-x) = x-10. He simplifies this to 24 - 2x = x - 10, then combines like terms to get 3x = 34. He calculates the final answer as x = 34/3 = 11.33, concluding that the average price is Rs. 11.33 per sachet. The video then transitions to the second problem, which is displayed on a new slide: 'Que: Two types of oil having the rates Rs. 4 per kg and Rs. 5 per kg respectively are mixed in order to produce a mixture having the rate of Rs. 4.6 per kg. What should be the amount of the second type of oil if the amount of the first type of oil in the mixture is 40 Kg?'. The instructor applies the alligation method again, calculating the differences (5 - 4.6 = 0.4 and 4.6 - 4 = 0.6) and setting up the ratio 0.4:0.6, which simplifies to 4:6. He then uses this ratio to find the amount of the second oil, calculating (6/4) * 40 = 60 kg. The video ends with a 'THANKS FOR WATCHING' screen.

The video provides a clear, step-by-step tutorial on solving mixture and alligation problems. It begins with an introduction to the topic and then applies the alligation method to two different scenarios. The first example demonstrates how to find the average price of a mixture when the prices of the components and their ratio are known. The second example shows how to find the quantity of one component needed to achieve a desired mixture price, given the quantity of the other. The instructor consistently uses a visual diagram to illustrate the alligation rule, making the mathematical process intuitive. The progression from a simple problem to a more complex one effectively builds the viewer's understanding of the concept.

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