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Solved example of ratio and proportion

Hello friends,  welcome to mathsmell.aaj iss post me hum janenge ratio and proprtion ki kuch important questions and  solution ki bare me ki ratio and proportion se related questions ka solution kaise karte hai. aur solved examples of ratio and proportions

Solved examples of ratio and proportion:
Example1: What is the 4th term in a proportion of 2, 3, 4.
Soln: Let 4th term = X,
By the definition of proportion, 2 : 3 :: 4 : X => 2/3 = 4/X => X = 6 ans.

Example2
: If 3, X, 27 are in continued proportion, then find the value of X.
Soln: Since 3, X, 27 are in continued proportion.Then we can write
3 : X :: X : 27 => X^2 = 3 x 27 = 81 => X  = 9 ans.

Example3
: What is the 3rd term in a proportion of 4 and 12.
Soln: Let 3rd term = X.Then we can write
4 : 12 :: 12 : X => 4/12 = 12/X => 4X = 12 x 12 => X = 144/4 = 36 ans.

Example4:
If 15% of X = 20% of Y, then find the ratio of X : Y.
Soln: 15/100 x X = 20/100 x Y => 15X = 20Y => X/ Y = 20/15 => X : Y = 20 : 15 = 4 : 3.

Example5:
If 3X = 2K and 5Y = 8K,. then fint the ratio of X : Y.
Soln:Given that 3X = 2K and 5Y = 8K => X = 2K/ 3 and Y = 8K/ 5.
Therefore, X : Y = 2K/3 x 8K/5 = 5/12 = 5: 12.

Example6:
Divide Rs. 3200 among P, Q, R in the ratio 5 : 2 : 9. Find the amount recived by P.
Soln: Amount recived by P = (ratio of P/Sum of ratio) x total amount.
= 5/ 5+2+9  x 3200
= 5/16 x 3200
= 5 x 200
= 1000 ans.

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