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Advanced Examples: Ratio & Proportion Video Lecture | CSAT Preparation - UPSC

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FAQs on Advanced Examples: Ratio & Proportion Video Lecture - CSAT Preparation - UPSC

1. What is the concept of ratio and proportion in mathematics?
Ans. Ratio is a comparison of two or more quantities, typically expressed in the form of a fraction or with a colon (:). Proportion, on the other hand, is an equation that states that two ratios are equal. It is used to solve problems involving ratios and find unknown quantities.
2. How can ratio and proportion be applied in real-life situations?
Ans. Ratio and proportion have numerous applications in real-life situations. For example, they can be used in cooking recipes to scale up or down the ingredients, in financial calculations such as calculating interest rates, in architecture and design for scaling drawings, and in various sports and games for determining winning probabilities.
3. What are the different methods to solve ratio and proportion problems?
Ans. There are several methods to solve ratio and proportion problems. Some common methods include the cross-multiplication method, unitary method, and the method of equivalent ratios. These methods allow us to find unknown quantities, compare ratios, and solve problems involving proportions.
4. Can ratio and proportion be used in geometry?
Ans. Yes, ratio and proportion are extensively used in geometry. They can be used to find the lengths of sides in similar figures, determine the angles of similar triangles, solve problems involving similar polygons, and establish proportions in geometric proofs.
5. How can ratio and proportion be applied in financial investments?
Ans. Ratio and proportion are useful in financial investments. They can be used to calculate the return on investment, determine the allocation of funds in a portfolio, analyze the risk and reward ratios, and compare the performance of different investment options. These calculations help investors make informed decisions and maximize their returns.
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