# CPT Chapter  Ratio and Proportion

With Anand.Duration:2hrs38min

 Ratio & Proportion Duration (min:sec) Ratio {modal https://www.youtube.com/embed/dbpwNaD05uc?autoplay=1;rel=0|width=780|height=439|title=Introduction}Introduction{/modal} 05:29 {modal https://www.youtube.com/embed/6b26ZMpsk3c?autoplay=1;rel=0|width=780|height=439|title=What is Ratio}What is Ratio{/modal} 06:23 {modal https://www.youtube.com/embed/FvxvPv83tcs?autoplay=1;rel=0|width=780|height=439|title=Few Points about Ratio}Few Points about Ratio{/modal} 06:21 {modal https://www.youtube.com/embed/k1ZS185nZyo?autoplay=1;rel=0|width=780|height=439|title=Types of Ratio}Types of Ratio{/modal} 04:22 {modal https://www.youtube.com/embed/1W95fj7k-VM?autoplay=1;rel=0|width=780|height=439|title=Examples of Types of Ratio}Examples of Types of Ratio{/modal} 07:13 {modal https://www.youtube.com/embed/eUF20ze6j9I?autoplay=1;rel=0|width=780|height=439|title=Problems on Types of Ratio}Problems on Types of Ratio{/modal} 14:45 {modal https://www.youtube.com/embed/-L_ayOq5vrs?autoplay=1;rel=0|width=780|height=439|title=Summary Types of Ratio}Summary Types of Ratio{/modal} 02:18 {modal https://www.youtube.com/embed/YLfh1xMAtT0?autoplay=1;rel=0|width=780|height=439|title=Ratio Problems}Ratio Problems{/modal} 26:16 {modal https://www.youtube.com/embed/fvv2Mh4M314?autoplay=1;rel=0|width=780|height=439|title=Ratio Application Problems}Ratio Application Problems{/modal} 33:41 {modal https://www.youtube.com/embed/08-oM9bxAJo?autoplay=1;rel=0|width=780|height=439|title=Conclusion}Conclusion{/modal} 01:12 Proportion {modal https://www.youtube.com/embed/gszm-_KuyCo?autoplay=1;rel=0|width=780|height=439|title=Introduction}Introduction{/modal} 03:36 {modal https://www.youtube.com/embed/X3WP3dGuG5g?autoplay=1;rel=0|width=780|height=439|title=What is Proportion}What is Proportion{/modal} 01:38 {modal https://www.youtube.com/embed/9SLr-cN-0gQ?autoplay=1;rel=0|width=780|height=439|title=Missing Number Problem}Missing Number Problem{/modal} 04:02 {modal https://www.youtube.com/embed/3CfPcX6RDn0?autoplay=1;rel=0|width=780|height=439|title=Properties of Proportion}Properties of Proportion{/modal} 03:30 {modal https://www.youtube.com/embed/Hd_oJIVAJzw?autoplay=1;rel=0|width=780|height=439|title=Examples of Properties}Examples of Properties{/modal} 04:55 {modal https://www.youtube.com/embed/uIowkmws71c?autoplay=1;rel=0|width=780|height=439|title=Problems on Properties}Problems on Properties{/modal} 02:51 {modal https://www.youtube.com/embed/yVQxjZ5TTxM?autoplay=1;rel=0|width=780|height=439|title=Mean Proportion}Mean Proportion{/modal} 05:14 {modal https://www.youtube.com/embed/HLCZeQ9Ueww?autoplay=1;rel=0|width=780|height=439|title=Problems}Problems{/modal} 17:25 {modal https://www.youtube.com/embed/3EeTj_aSuRU?autoplay=1;rel=0|width=780|height=439|title=Application Problems}Application Problems{/modal} 04:56 {modal https://www.youtube.com/embed/_ea4hIOjvAo?autoplay=1;rel=0|width=780|height=439|title=Conclusion}Conclusion{/modal} 02:18 Total 02:38:25

Ratio and Proportion

What is a ratio?
Comparison of two or more quantities of the same kind by division
Ex- Ratio of Boys to Girls 20:10
Ex- Ratio between 250gm and 2kg
Ratio between 5 minutes and 30 secs

Few points about ratio-
Expressed in simplest term
Order of terms is important

Ratio exist only between quantities of same kind
and they should have the same units

Types of ratio-
Inverse ratio
Compound ratio
Duplicate ratio
Triplicate ratio
Sub Duplicate ratio
Sub Triplicate ratio
Continued ratio

Inverse Ratio
Inverse ratio of a:b is b:a
One ratio is the inverse of another if their product is 1

Compound Ratio
Compound ratio of a:b and c:d is ac:bd

Duplicate ratio
A ratio compounded to itself is duplicate ratio.Thus duplicate ratio of a:b is a2:b2

Triplicate ratio
A ratio compounded to itself two time is triplicate ratio.Thus triplicate ratio of a:b is a3:b3

Sub Duplicate ratio- Square root
If a:b is duplicate ratio of c:d then c:d is sub-duplicate ratio of a:b
Find sub-duplicate ratio of
4:9
1:25
16:4

Continued Ratio
Ratio which are expressed in more than 2 quantities
1:3:5

Properties of Proportion

Cross -Multiplication
Invertendo
Alternendo
Componendo
Dividendo
Componendo & Dividendo
Addendo
Subtrahendo

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