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

Lessons-Worksheets-Question Papers-CBSE Class 2 English

Lessons-Worksheets-Question Papers-CBSE Class 2 English CBSE 2nd Class English – One and Many In this blog, we share the spelling rules used in the concept of One and Many. When there is only one of a naming word (noun), it is said to be a singular noun . When a noun shows more than one, it is said to be in the plural . We can add –S, -es, -ves or ies to show that there is more than one noun. For example, we say many birds, four biscuits, six brushes. But for the students of Class 2 , it’s very difficult and confusing to understand where to use s , es, ves or ies in the form of many. Don’t worry, it looks difficult, but it is very easy as in grammar each concept has a set of rules that need to practice. Noun ending with –s, -x, -o, -sh, -ch, and –ss form plurals by taking –es. Look at these pairs of words: Bus – Buses Brush – Brushes Continue ..... Click here ...

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...

Class 3 English Practice Grammar Worksheet -The Adverb

Class 3 English Practice Grammar Worksheet -The Adverb Class 3 English – The Adverb – Kinds of Adverb Fill in the blanks with suitable Adverbs of place. Choose from the box. Up outside everywhere back down away here there ...

Takshila Learning - Online Tutorials

Search This Blog