Ratio and Proportion are explained majorly based on fractions. When a fraction is represented in the form of a:b, then it is a ratio whereas a proportion states that two ratios are equal. Here, a and b are any two integers. The ratio and proportion are the two important concepts, and it is the foundation to understand the various concepts in mathematics as well as in science.

In our daily life, we use the concept of ratio and proportion such as in business while dealing with money or while cooking any dish, etc. Sometimes, students get confused with the concept of ratio and proportion. In this article, the students get a clear vision of these two concepts with more solved examples and problems.


Ratio And Proportion Questions And Answers For Bank Exams Pdf Download


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Therefore, the ratio defines the relationship between two quantities such as a:b, where b is not equal to 0. Example: The ratio of 2 to 4 is represented as 2:4 = 1:2. And the statement is said to be in proportion here. The application of proportion can be seen in direct proportion.

The definition of ratio and proportion is described here in this section. Both concepts are an important part of Mathematics. In real life also, you may find a lot of examples such as the rate of speed (distance/time) or price (rupees/meter) of a material, etc, where the concept of the ratio is highlighted.

Proportion is an equation that defines that the two given ratios are equivalent to each other. In other words, the proportion states the equality of the two fractions or the ratios. In proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.

Example: Let us consider one more example of a number of students in a classroom. Our first ratio of the number of girls to boys is 3:5 and that of the other is 4:8, then the proportion can be written as:

The number of candidates writing three different entrance exams is in the ratio 4:5:6. There is a proposal to increase these numbers of candidates by 40%, 60% and 85% respectively. What will be the ratio of increased numbers?

Now what does 4 : 6 mean? It means that the dining room represents 4 parts whilst the family room represents 6 parts. A part can be any size in a ratio, what matters is the proportion that the ratio describes.

A mixture contains lemon juice and sugar syrup in equal proportion. If a new mixture is created by adding this mixture and sugar syrup in the ratio 1 : 3, then the ratio of lemon juice and sugar syrup in the new mixture is

An alloy is prepared by mixing metals A, B, C in the proportion 3 : 4 : 7 by volume. Weights of the same volume of metals A, B, C are in the ratio 5 : 2 : 6. In 130 kg of the alloy, the weight, in kg, of the metal C is

A 20% ethanol solution is mixed with another ethanol solution, say, S of unknown concentration in the proportion 1:3 by volume. This mixture is then mixed with an equal volume of 20% ethanol solution. If the resultant mixture is a 31.25% ethanol solution, then the unknown concentration of S is

The strength of a salt solution is p% if 100 ml of the solution contains p grams of salt. If three salt solutions A, B, C are mixed in the proportion 1 : 2 : 3, then the resulting solution has strength 20%. If instead the proportion is 3 : 2 : 1, then the resulting solution has strength 30%. A fourth solution, D, is produced by mixing B and C in the ratio 2 : 7. The ratio of the strength of D to that of A is

Consider three mixtures - the first having water and liquid A in the ratio 1 : 2, the second having water and liquid B in the ratio 1 : 3, and the third having water and liquid C in the ratio 1 : 4. These three mixtures of A, B, and C, respectively, are further mixed in the proportion 4 : 3 : 2. Then the resulting mixture has

The questions of ratio and proportion are important from the point of view of examinations in Mathematics. These questions are easy as compared to other questions, so these questions can prove to be helpful in increasing your score. So, in this article, I am providing Ratio and Proportion Questions and Answers for your practice.

These questions have been asked in competitive exams like SSC and banking exams, so these questions can play an important role in your preparation for upcoming exams. Continue practice with questions and answers of ratio and proportion.

Ratio and Proportion is one of the most fundamental concepts of mathematics. A significant weightage is given to ratio and proportion questions for bank exams like IBPS PO, SBI PO, SBI Clerk, IBPS Clerk, IBPS SO, SBI SO, IBPS RRB, and similar others. While the topic is crucial to ace the quantitative aptitude, it also plays a role in the Data Interpretation and Reasoning section.

In order to enhance their proficiency, aspirants should periodically attempt ratio and proportion questions for bank exams. The ratio and proportion topic involves a few standard formulas, properties, and tricks to calculate the related questions.

There are several books available for practising questions based on ratio & proportion syllabus for bank exams. The following popular books consist of ratio & proportion questions and answers bank exams-specific.

In middle school, ratio questions will involve writing and simplifying ratios, using equivalent ratios, dividing quantities into a given ratio and will begin to look at solving problems involving ratio. At high school, these skills are recapped and the focus will be more on ratio word problems which will require you to conduct problem solving using your knowledge of ratio.

Ratio often appears alongside proportion and the two topics are related. Whereas ratio compares the size of different parts of a whole, proportion compares the size of one part with the whole. Given a ratio, we can find a proportion and vice versa.

From 7th grade onwards, students learn about direct proportion and inverse proportion. When two things are directly proportional to each other, one can be written as a multiple of the other and therefore they increase at a fixed ratio.

As we have seen, ratio and proportion are strongly linked. If we are asked to find what proportion something is of a total, we need to identify the amount in question and the total amount. We can then write this as a fraction:

Ratio is introduced in middle school. Writing and simplifying ratios is explored and the idea of dividing quantities in a given ratio is introduced using proportion word problems such as the question below, before being linked with the mathematical notation of ratio.

At this level, ratio questions ask you to write and simplify a ratio, to divide quantities into a given ratio and to solve problems using equivalent ratios. See below the example questions to support test prep.

While the Common Core State Standards does not explicitly include ratio and proportional relationships in the 8th grade, it may pop up on your own curriculums and offers a good opportunity to revisit and extend their knowledge of ratio and proportion before they enter high school.

Ratios can inform you of the direct proportion of each number in comparison to the other. For example, when a pair of numbers increase or decrease in the same ratio, they are directly proportional.

The ratio of milk and water in Bottle 1 is 7:2 and the ratio of milk and water in Bottle 2 is 9:4

Therefore, the proportion of milk in Bottle 1 is $\frac{7}{9}$ and the proportion of milk in Bottle 2 is $\frac{9}{13}$

Question 35: An alloy is prepared by mixing three metals A, B and C in the proportion 3 : 4 : 7 by volume. Weights of the same volume of the metals A. B and C are in the ratio 5 : 2 : 6. In 130 kg of the alloy, the weight, in kg. of the metal C is

Ratio and proportion questions in the CAT Quantitative Ability section may appear daunting at first, but with a solid understanding of the basics and consistent practice, they can be conquered. By employing the strategies mentioned above and practicing regularly, you can boost your confidence and increase your chances of success in the CAT exam. 

Answer: When dealing with Mixtures and Alligations questions, set up the initial ratio of components, apply the concept of weighted averages, and use proportion equations to find the desired ratios or concentrations. Regular practice is crucial to mastering these types of questions.

Who has not fought over the last slice of pizza to divide it into equal portions? Ratio and proportion is not only an important part of daily chores but also forms an integral part of the Mathematics syllabus for both scholastic and competitive exams like GMAT, SAT Subject Test, SSC, etc. Understanding concepts pertaining to ratio and proportion thus becomes important as it will not only help you score well in the examination but will equip you to deal with proportions and quantities in day to day life. Here are some ratios and proportion questions that you can practice to have a better grip over the topic!

2IIM's CAT classes online are the best if you are someone who prefers lectures to be delivered digitally. Also, if you are uncomfortable with digital lectures, 2IIM offeres the Best CAT Coaching in Chennai, where lectures are given in-person. Furthermore, the CAT Previous Year Paper,  question bank available on 2IIM's page is FREE to access. This is a question from CAT 2018 question paper in which we need to find the ratio of cost prices per kg of the two tea types A and B using the given data and conditions. 

Shaalaa.com has the Maharashtra State Board Mathematics Mathematics 6th Standard Maharashtra State Board Maharashtra State Board solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. Balbharati solutions for Mathematics Mathematics 6th Standard Maharashtra State Board Maharashtra State Board 11 (Ratio and Proportion) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams. e24fc04721

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