Ratio and proportion Formula PDF: Ration and proportion formulas for bank exams are available here. In this ratio and proportion formula pdf article, you can get all the formulas related to this topic. Aspirants who are preparing for the upcoming bank exams and other competitive exams shall download this formula of ratio and proportion pdf. Also, the candidates preparing for the SSC exams can get here Ration and proportion formulas for SSC CGL, CHSL, etc. Ratio and proportion is one of the most important topics in the quantitative aptitude section of the competitive exams. Ratio and proportion formula pdf plays a major role in your preparation for competitive exams. To crack bank competitive exams, you should know how to calculate ratio and proportion. The formula of ratio and proportion pdf has various types of formulas such as ratio and proportion formula for 3 variables, 4 variables, etc. Also, you can learn various types of Ration and proportion formula and tricks to solve problems in a quick manner. This formula of ratio and proportion pdf will help you to make your calculations easier one in the bank exams and other competitive exams. So, practice more with our Ration and proportion formula and examples pdf. Candidates shall utilize this formula of ratio and proportion pdf to be familiar with the various types of ratio and proportion formulas for bank exams and other competitive exams. Alos, you will become clear on how to calculate ratio and proportion.

Ratio and proportion is the most significant topic in the quantitative aptitude section of the bank exams. It will also be asked in Data Interpretation part. So candidates must be proficient with the formula of ratio and proportion pdf. The ratio and proportion formula pdf will help to improve your scores in competitive exams. In this ratio and proportion formulas for bank exams article we have briefly explained about what is ratio and proportion, Direct proportion, Inverse proportion, Continuous proportion, the difference between the ratio and proportion, etc. So, make the best use of our formula of Ration and proportion pdf. Prepare in a daily manner with our Ration and proportion formula and Examples pdf. Our Ratio and proportion formula and tricks pdf will help to make quicker calculations. So, prepare consistently to know how to calculate ratio and proportion. Candidates who are getting ready for their future exams kindly go through this ratio and proportion formulas for bank exams article. So, you can be familiar with all the tricks given in our formula of ratio and proportion pdf. You can download the ratio and proportion formula pdf for bank exams for your practice purposes for the forthcoming bank exams. So, make your preparation effective with the help of our formula of ratio and proportion pdf.

## Ratio and Proportion Formula PDF For Bank Exams

We have uploaded the ratio and proportion formula pdf for bank exams in this formula of ratio and proportion pdf for bank exams article. This ratio and proportion formula pdf will help you to solve the ratio and proportion questions easily by using formula of ratio and it will save your time on the bank exams to concentrate on other questions. Ratio and proportion formula pdf will improve your speed and accuracy while solving the ratio and proportion questions by using the formula  of ratio and proportion in the bank exams and other competitive exams.

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## Definition of Ratio

The definition of ratio is added in this formula of ratio and proportion for bank exams article. Ratio can be defined by the relationship between the two quantities which is obtained by dividing the first quantity by another. We can say that the two quantities a and b as a : b, such that b is not equal to 0. The numbers in ratio compared only when they have same units. The ratio is denoted by the symbol ‘ : ‘. For example the formula of ratio can be expressed by a : b, a / b, a to b. This formula of ratio will be useful for various aptitude questions like partnership, ages and more. So you must be familiar with the formula of ratio for your exams.

## Definition of Proportion

The definition of proportion is added in this ratio and proportion formula for bank exams article. Proportion can be defined as the given two ratios are equivalent to each other. When the given two sets of numbers are increasing or decreasing in the same ratio, then the ratios can be directly proportional to each other. There are three types of proportions. We have given the detailed explanation about the types of proportions in this formula of ratio and proportion article. We also added the types of proportions in the ratio and proportion formula pdf for bank exams post. The types of proportions are,

• Direct Proportion
• Inverse Proportion
• Continued Proportion

## Formula of Ratio and Proportion

We have provided the various formula ratio and proportion for bank exams here. The candidates who want to achieve more marks in the quantitative aptitude section of the bank exams shall go through this formula of ratio and proportion  for bank exams post thoroughly. You can also download the ratio and proportion formula pdf for bank exams to be expertise with the formula of ratio and proportion for bank exams. It will make your calculations simpler and improve your speed and accuracy while solving the ratio and proportion questions by using the ratio and proportion formula for bank exams.

### Formula of Ratio:

We have added the formula of ratio in this formula of ratio and proportion for bank exams post. Here you can get to know the formula of ratio which is given below.

• If, we have two quantities or two numbers and we have to find the ratio of these two, then the formula of ratio can be described as:

a: b ⇒ a/b

where a and b could be any two quantities.

Here, “a” is called the first term or antecedent, and “b” is called the second term or consequent. This is the important formula of ratio which will be very useful for your competitive exams.

For example, In ratio 3 : 8, is represented by 4 / 8,  where 3 is antecedent and 8 is consequent.

If we multiply and divide each term of the ratio by the same number (non-zero), it doesn’t affect the ratio.

Example: 3:8 = 6:16 = 9:24

### Formula of Proportion

We have added the formula of proportion in this formula of ratio and proportion for bank exams post. Here you can get to know the formula of proportion which is given below.

• Assume that, in proportion, the two ratios are a:b & c:d. The two terms ‘b’ and ‘c’ are called ‘mean term,’ whereas the terms ‘a’ and ‘d’ are known as ‘extreme term.’

a/b = c/d or  a : b :: c : d

For Example: Let us consider a number of students in a classroom. Our first ratio of the number of girls to boys is 4:6 and that of the other is 5:9, then the proportion can be represent as:

4: 6 ::  5: 9 or 4/6 = 5/9

Here, 4 & 9 are the extreme term, while 6 & 5 are the mean term.

### Fourth Proportion

• a: b ∷ c: x

x → Fourth Proportion

x=(b×c)/a

### Third Proportion

• a: b ∷ b: x

x → Third Proportion

Third Proportion of a, b = b²/a

### Mean Proportion

• a : x ∷ x : b

x → Mean Proportion

The mean proportion of ab is given by = √ab

• When two numbers are in the ratio a: b and their sum is x, then these numbers will be

ax/(a+b)  &  bx/(a+b)

• If three numbers are in the ratio of a : b : c and their sum is x then the numbers are

ax/(a+b+c) ,   bx/(a+b+c)  &  cx/(a+b+c)

• If a : b = n₁ : d₁ & b : c = n₂ : d₂

then a : b : c = n₁ × n₂ : n₂ × d₁ : d₁ × d₂

• If a : b = n₁ : d₁ , b : c = n₂ : d₂ , c : d = n₃ : d₃

a : b : c : d = n₁ × n₂ × n₃ : d₁ × n₂ × n₃ : d₁ × d₂ × n₃ : d₁ × d₂ × d₃

• If the ratio between two numbers is a: b & x is added to both of them then the ratio becomes c : d. Then the two numbers are given by:

• If the ratio of two numbers is a: b, then the number that should be added to each number to make the ratio c : d is given by

• The incomes of two persons are in the ratio → a: b and their expenditures are in the ratio → c : d. If the saving of each person is S, then their incomes are.

And their expenditures are given by

• When two ingredients A & B of quantities q₁ & q₂ with cost price/unit c₁ & c₂ respectively are mixed to get a mixture c having cost price cm/unit then.

(a) Ratio in which A & B are mixed

(q₁)/q₂ =(c₂-cm)/(cm-c₁ )

(b) Cost of the mixture

cm = (c₁×q₁+c₂×q₂)/(q₁+q₂)

## Difference Between The Ratio and Proportion

The difference between the ratio and proportion is provided in this formula of ratio and proportion for bank exams article. Candidates shall take a note in this ratio and proportion for bank exams article or download the formula of ratio and proportion pdf for bank exams for the future reference.

 Difference Between The Ratio and Proportion Ratio Proportion It is used to compare the size of two quantities with the same unit. It is used to express the relation of two ratios It is expressed using a colon (:), slash (/) It is expressed using the double colon (::) or equal to the symbol (=) It is an expression It is an equation Example: a : b ⇒ a / b Example:a : b :: c: d⇒ a / b = c / s

Practice ratio and proportion questions - Free pdf

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## Formula of Ratio and Proportion With Examples

Example 1: There are 20 girls and 25 boys in a class. Find the ratio of the no. of boys to the total no. of students.

Solution

The ratio of number of boys to total no. of students by using the formula of ratio and proportion,

25/55= 5/11 = 5:11

Example 2: The weight of 72 boxes is 9 kg. What is the weight of 40 such boxes?

Solution

Weight of 72 boxes = 9 kg

Weight of 1 box = 9/72 kg = 1/8

So, weight of 40 boxes = 1/8*40 = 5 kg

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## Formula Ratio and Proportion For Bank Exams FAQs

Q. What is the formula of ratio?

A. If,  we have two quantities or two numbers and we have to find the ratio of these two, then the formula of ratio can be described as: a: b ⇒ a/b

Q. What is the formula of proportion?

A. Assume that, in proportion, the two ratios are a:b & c:d. The two terms ‘b’ and ‘c’ are called ‘mean term,’ whereas the terms ‘a’ and ‘d’ are known as ‘extreme term.’

a/b = c/d or  a : b :: c : d

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