Skip to main content

Ratio and Proportion | CA CPT Maths | CMA Foundation Maths Video Lectures


Ratio and Proportion | CA CPT Maths | CMA Foundation Maths Video Lectures 


Watch This Full video for Complete learning on Ratio and Proportion CA Foundation Notes Maths Video Lectures. Get all your CA Foundation Ratio and Proportion Questions and Answers on this CA Foundation Video Lectures


What is Ratio?

A Ratio is a comparison of the sizes of two or more quantities of the same kind by division.

If a and b are two quantities of the same kind (in same units), then the fraction a/b is called the ratio of a to b.


What is an Inverse Ratio?

One Ratio is the inverse of another if their product is 1. Thus a:b is the inverse of b: a and vice versa.


What is Proportion?

An equality of two ratios is called a proportion.

For quantities a,b,c,d are said to be  in proportion  if a:b= c:d

Properties of Proportion-

 

1. Alternendo

If a : b = c : d, then a : c = b : d.

ab = cd

Multiply both sides by bc ; ab x bc = cd x bc

ac = bd 

a : c = b : d


2. Componendo

If a : b = c : d, then a + b : b = c + d : d

ab = cd

Adding 1 to both sides, we get

ab + 1 = cd + 1

a+bb = c+dd

⇒ a + b : b = c + d : d


3. Dividendo

If a : b = c : d then a - b : b = c - d : d

ab = cd

Subtracting 1 from both sides, we get

ab - 1 = cd - 1

a−bb = c−dd

⇒ a - b : b = c - d : d


4. Componendo and Dividendo-

If a : b = c : d then a + b : a - b :: c + d : c - d.

a : b = c : d

 a + b : b = c + d : d by componendo

a - b : b = c - d : d by dividendo

Dividing,

 a+bb ÷ a−bb = c+dd ÷ c−dd

 a+bb x ba−b = c+dd x dc−d

 a+ba−b = c+dc−d

 ⇒ a + b : a - b = c + d : c - d

Hope This Article Help You in Your Learning, For More CA Foundation Video lectures notes you can Subscribe to Your Youtube Channel. You Can Download CA Foundation Pendrive Classes PDF Notes.


Must Read CA Foundation Registration Date 2021 - Eligibility & Syllabus 


Now prepare smartly for CA Foundation with our CA foundation class Via.. CA foundation video lectures Learn direct from your home/office. We here at Takshila Learning provide you the CA foundation online coaching, CA foundation Pendrive Classes along with CA foundation online lectures 

Visit Takshila Learning or Call us @ 8800999280/83/84





 

Comments

Popular posts from this blog

Magnetic and non-magnetic material Class 6 Science

Magnetic and non-magnetic material  Class 6 Science A magnet is a substance that is drawn to certain magnetic materials like iron, cobalt, and nickel. Magnets have the ability to draw iron to them. Natural magnets are rocks that naturally draw iron. Non-magnetic materials include things like wood, rubber, coins, feathers, leather, etc. that are not drawn to iron. Magnet characteristics It pulls magnetic materials, such as iron. The magnet's two ends are referred to as its poles. The magnet's diametrically opposed poles are drawn together. Heating, hammering, or dropping causes it to lose its characteristics. On the basis of properties types of Magnets Temporary magnets are those magnets that are magnetic for only a little duration. Typically, iron, cobalt, or nickel are used to make them. When they are close to the powerful magnet, they act like a magnet. When they are yanked away from the powerful magnet, they stop being magnetic. Permanent magnets are magnets that have magne...

Best Sample papers for Bank PO Exam Download

Sample papers for Bank PO Exam | Question Paper for Bank PO : Institute of banking Personnel Selection (IBPS) Department issued a Notification of IBPS PO 2017  exam announced in October month. IBPS Probationary Officer (PO) Online Application Form process will be begin from July 2017. This is a hard exam for all students so aware of its value. Large number of  candidates will participate in this exam. So all candidates should prepare well for it. Check out IBPS, Bank PO Sample papers, Question Paper Pattern, SBI  PO Syllabus ,   IBPS Syllabus  and other IBPS PO Preparation 2017 This paper is identical to any Bank PO Question Paper Pattern. Check whole IBPS Bank “PO question paper” subject wise. IBPS (PO) Paper Pattern Analysis with Syllabus and main topics of IBPS Exam 2017. PO Question Paper Pattern, Bank PO sample Papers for IBPS Bank Exam IBPS PO Exam will be conducted at three levels 1st- PO Preliminary Exam 2nd- PO Mains Exam 3rd- PO Common ...

Online/Offline CBSE Coaching Classes for class 9

CBSE Coaching Class 9 :-   In a move to make the digital India and Skill India dream into a reality, we are providing the best courses to our students in e-learning mode. Our program consists of entire 9th class syllabus in a fun learning method with various ways like sounds and animations. Our content is in 2-D & 3-D animation for better understanding of students. So That students will be understand every thing clearly and it makes the learning easy and entertaining. We are offering the following subjects for class 9th Standard:   Maths Class Physics Class Chemistry Class Biology Class Our E-learning provides the best and trained teachers with highly qualified for the respective subjects, they help to improve the students’ performance and to teach the every concept clear and easy in better way. Our main motive is to help students to learn well and gain more marks with making  their basic concept strong and good knowledge base ...