Understand Of Ratio

   

About Ratio 

  What Is Ratio ?

 👉The Ratio is the when two or more quantity are compared, in this time we can determine the comparison between the quantity's . 

 👉The ratio between A and B can be represented as A : B , where A is called antecedent and B is called consequent 

 ☑ Example :-  For example There can be a ratio between  200 and  400, but there cannot be the ratio between  200 and 400 apples. Hence, the units of quantity for the comparison of ratio should  be same.

                         👉 Ratio should be 200 : 400 = 1:2

 

Types of Ratio : - 

 ➤  Duplicate Ratio : - In this ratio for select that  X is one quantity and another is  Y then the quantity 's squares ratio also same that type ratio is called Duplicate Ratio 

 ☑ Example : the ratio of number 3 and 4 is = 3 : 4 and also squares of the 3 and 4 's ratio is 9:16 that means 3:4 = 9:16 like that X r :Yr 

➤ Sub-duplicate Ratio :-  If two numbers are in ratio, then the ratio of their square roots are  called sub-duplicate ratio. If x and y are two numbers, then the sub-duplicate ratio of x and y would be Vx : Jy.

☑ Example : the ratio of number 3 and 5 is = 3 : 5 and also squares of the 3 and 5 's ratio is 9:25 like that Vx : Jy. 

➤  Triplicate Ratio  If two numbers are in ratio, then the ratio of their cubes is called triplicate ratio. If x and y are two numbers, then the triplicate ratio of x and y would be x^y3 . 

 

 ☑ Example :Triplicate ratio of 2 :3 = 2^3 :3^3 = 8 :27

➤  Sub-triplicate Ratio:- If two numbers are in ratio, then the ratio of their cube roots is called sub-triplicate ratio. If x and y are two numbers, then the sub-triplicate ratio of x and y would be 3/x : ^/y.

  ☑ Example :  Sub-triplicate ratio of 1:125 = 3/1 : 3/125 =1:5 

➤  Inverse Ratio:-  If two numbers are in ratio, then their antecedent and consequent are interchanged and the ratio obtained is called inverse ratio, If X and Y are two numbers and their ratio is X : Y, then its inverse ratio will be Y : X. 

 ☑ Example : Inverse ratio of 4 :5 is 5 :4 . 

➤   Compound Ratio:- If two or more ratios are given, then the antecedent of one is multiplied with antecedent of other and respective consequents are also multiplied. If a : b, c: d and e : / are three ratios, then their compound ratio will be ace: bdf . 

☑ Example : The ratio are 3:5 , 4:7 , 5:7 for the compound Ratio is 

                        (3*4*5)/(5*7*7) = 12/49= 12:49

✅Note   

  ✔✔ If the antecedent is greater than the consequent, then the ratio is known as the ratio of greater inequality, such as 7 : 5 .

 ✔✔ If the antecedent is less than the consequent, then the ratio is called the ratio of less inequality, such as 5 : 7 .