Everything You Need to Know About Ratio and Proportion for Competitive Exams

Ratio and proportion are essential mathematical concepts that have a wide range of applications in various fields, including finance, engineering, science, and medicine. These concepts are fundamental and form the basis of many mathematical and scientific principles.

A ratio is a comparison of two quantities expressed as a fraction. For example, the ratio of boys to girls in a class of 30 students can be expressed as 2:3. Here, the ratio of boys to the total number of students is 2/5, and the ratio of girls to the total number of students is 3/5.

Proportion, on the other hand, is an equality of two ratios. For example, if the ratio of boys to girls in a class is 2:3, and the total number of students is 30, we can find the number of boys and girls in the class by using proportion. Let's say the number of boys in the class is 'x.' Then, the number of girls in the class is (30 - x). The proportion can be expressed as 2/3 = x/(30-x). We can solve for 'x' to find that there are 12 boys and 18 girls in the class.

Ratio and proportion have several applications in real-world scenarios. For instance, they are used to calculate exchange rates, interest rates, and stock market trends. In engineering, they are used to calculate the strength and weight of materials. In medicine, they are used to calculate dosages and create medical solutions.

To solve problems involving ratio and proportion, it is essential to understand the relationship between the terms and use them to create an equation. For example, if we are given the ratio of the length and width of a rectangle, we can find the dimensions of the rectangle by setting up a proportion.

Another important aspect of working with ratios and proportions is reducing them to their simplest form. Reducing ratios can make calculations easier and help you compare different ratios. It is also important to be careful when working with percentages, which are just another way of expressing ratios with a denominator of 100.

In conclusion, ratio and proportion are critical mathematical concepts that have widespread applications in various fields. Understanding the principles of ratio and proportion is essential for solving complex problems in mathematics, science, finance, engineering, and medicine. Regular practice and application of these concepts can help students develop a strong foundation in mathematics and succeed in their academic and professional endeavors.