This video tackles the concepts of Ratio & Proportion, and explains these by solving illustrative word problems as seen on most competitive exams, such as the SAT, ACT, GRE, GMAT, LSAT, CAT, etc. In these examples, we solve the kind of questions that students of grades 7th, 8th and 9th will see in their Math textbooks. Try to answer the problems on your own, before watching the solutions.
The ratio of two numbers denotes their relationship in terms of quantity. A ratio is essentially a fraction and can also be represented as a percentage. It can be used to convert between units, compare values, determine parts of a mixture or recipe, etc.
Proportion defines the relationship between two ratios. It is used to calculate how quantities increase or decrease with respect to each other. In Direct proportion when one quantity increases, the other also increases. In Inverse proportion, when one quantity increases, the other decreases. For example, the distance covered by a moving vehicle is directly proportional to the speed of the vehicle. And the time taken to reach the destination is inversely proportional to the speed of the vehicle.
For ratio, the video gives one simple example to introduce the concept and one tough question that tests advanced knowledge of the topic. For proportion, we cover examples for both direct and inverse proportion.
Ratio & Proportion is a basic building block of Math and finds use in nearly every aspect of the subject. For example, in Geometry the concept of similar triangles relies almost entirely on Ratio & Proportion. In accounting, basic ideas such as margin and profit percentage are essentially ratios. Similarly, the concept is used in other branches of pure and applied Math, including trigonometry, statistics, and mechanics to name just a few.
Use the tips shown in this video to practice as many Ratio & Proportion questions as possible. Let us know in the comments section if you have any questions.