SSC Ratio and Proportion Questions, Download PDF

Ratio and Proportion

Fractions are a way of expressing a portion of a whole. They are used to represent ratios and proportions in mathematics. A ratio compares two quantities by dividing one by the other, and it can be written in the form of a fraction a:b. A proportion is a statement that two ratios are equal, which means that they can be expressed as a fraction with the same value.

Definition of Ratio

A ratio is a way of comparing two quantum measurements by employing a division of the same.

A ratio is a comparison of two quantities obtained by dividing one by the other. If a and b are two values of the same type and units, and b is not equal to zero, the quotient a/b is known as the ratio between a and b. Ratios are expressed using the colon (:) sign. This means that the a/b ratio has no unit and can be written as a: b.

Definition of Proportion

It is an equation applied to two ratios to know whether they are equal or not.

Proportion refers to the equality of two ratios. Two proportionate ratios are always equal. The sign (::) represents proportions and helps us solve for unknown quantities. In other words, a percentage is an equation or statement that demonstrates that two ratios or fractions are equivalent. Four non-zero numbers, a, b, c, and d, are said to be in proportion if a: b = c: d. Consider the two following ratios: 3: 5 and 15: 25. In this scenario, 3:5 is represented as 3:5 = 3/5 = 0.6, and 15:25 is written as 15/25 = 3/5 = 0.6. We can argue that both ratios are proportionate since they are equal.

Ratio and Proportion Formula

The formula for Ratio and Proportion is provided below:

Ratio

• a: b ⇒ a/b

Where a and b are any two quantities and “a” is called the antecedent (first term), and “b” is called the consequent (second term)

Proportion

• a/b = c/d or  a : b :: c : d

In proportion, the two ratios are a:b & c:d. The two terms ‘b’ and ‘c’ are called ‘means or mean term,’ whereas the terms ‘a’ and ‘d’ are known as ‘extremes or extreme terms.’ 

Types of Proportion

There are different types of Proportions that are listed and described below:

Direct Proportion: The term direct proportion refers to the direct link between two quantities. When there is a rise in one quantity then the other one rises as well and vice versa. As a result, a direct proportion is written as y ∝ x. For example, increasing the speed of an automobile causes it to travel more distance in a given amount of time.

Inverse Proportion: Inverse proportion explains the relationship between two quantities in which one increases while the other falls and vice versa. As a result, an inverse proportion is expressed as y ∝ 1/x. For example, when a vehicle’s speed increases, it will travel a constant distance in less time.

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Difference between Ratio and Proportion

To understand the concept of Ratio and Proportion a little better, candidates can go through the difference between these two provided below: 

Proportion	Ratio
The proportion is used to express the relation between two ratios	The ratio is used to compare the size of two things with the same unit
It is expressed using the double colon (::) or equal to the symbol (=)	It is expressed using a colon (:), slash (/)
It is an equation	It is an expression
The keyword to identify proportion in a problem is “out of”	The keyword to identify the ratio in a problem is “to every”

Ratio and Proportion Questions with Solutions PDF

We have provided the most straightforward, easy-to-understand, and effective tips and tactics for solving ratio and proportion questions. Below we are going to provide you all with the Ratio and Proportion Questions with solutions PDF in order to make your SSC exam preparation more fruitful. 

• Ratio and Proportion Questions with Solutions PDF
• Ratio and Proportion Questions with Solutions PDF in Hindi

Importance of SSC Ratio and Proportion Questions 

SSC Ratio and Proportion Questions are of great relevance in the SSC Exams 2023 as:

• Competitive exams such as the SSC and all of its versions assess candidates’ numeric aptitude because demonstrating it allows exam makers to evaluate the taker’s fit for the profile. As a result, it is critical for students to be well-prepared in areas such as ratio and proportion.
• Ratio and proportion, unitary technique, fraction and percentage are fundamentals that serve as the foundation for more complex commercial mathematics topics covered in the SSC exam.
• Because ratio and proportion as a topic is strongly related to %, being competent in addressing its problems also helps applicants with percentage questions. This works in students’ favour because percentages are an important topic covered in the quantitative component of the SSC exam.
• Finally, studying ratio and proportion assists with preparation for other competitive government exams because this topic is covered in all of them.

Ratio and Proportion Questions for SSC CGL

The topics of ratio and proportion hold great significance in the quantitative aptitude section of competitive exams like SSC CGL. Based on the SSC CGL Previous Year Papers, it has been observed that 4-5 questions are generally based on this topic. Therefore, it is crucial to prepare for these questions thoroughly. To help candidates prepare better, we have provided some important ratio and proportion questions that are frequently asked in SSC CGL.

Important Ratio and Proportion Questions for SSC CHSL

Ratio and Proportion questions are an important component of the SSC CHSL exam as well. There are approximately 3-4 questions asked in the tier 1 examination and now that Maths is an integral part of the SSC CHSL tier 2 exam, this chapter has an additional weightage. Important Ratio and Proportion Questions for SSC CHSL are given below:

Tips and Tricks to Solve SSC Ratio & Proportion Questions

Many methods and ideas for ratio and proportion questions can be discovered in books and easily taught. These methods and suggestions assist students in solving these problems, which are a component of competitive examinations such as the SSC, in a lot more enhanced manner and achieving speedier outcomes.

• Many students are perplexed when they see a ratio and proportion separated by fractions rather than colons. Fractions, like a colon, are used to determine whether the ratios are equal or proportional.
• Practice popular mathematics strategies like visualization to better understand the fundamentals of ratio and proportion.
• Individual values have the same denominator value for proportions with more than two ratio components.

Best Books for SSC Ratio & Proportion Questions

As noted in the preceding section, ratio and percentage are significant components of the SSC CGL syllabus and SSC CHSL syllabus. As a result, it is critical to prepare thoroughly for this section. Here are some of the best books on ratio and proportion:

Books	Authors/Publishers
Quantitative Aptitude for Competitive Exams	RS Aggarwal
Fast Track Objective Arithmetic	Rajesh Verma
Quantitative Aptitude for All Competitive Exams	Abhijit Guha
Objective Arithmetic	S. Chand Publishing

In conclusion, candidates must comprehend with SSC Ratio and Proportion Questions to fetch maximum marks from this topic. If you are facing any difficulties, you should consider enrolling in SSC online coaching and attempting SSC mock tests to work on your weak areas.