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
Notes
CPT Exam Exposure