Ratio And Propotion In Aptitude For Competitive Exams

Ratio And Propotion Topic Is Very Important For Bank Exams, CAT, SSC , GATE, Campus And Other Competition Government Exams.

Ratio

1.The Ratio Of a and b Is Called Fraction a/b And We Can Write It As a:b.
2.In (a:b) a Is Called Antecedent And b Is Called Consequent.
3.The Multiplication, addition And Division Does not Affect The Ratio.
Example: a/b = a*3/b*3 = (a/3)/(b/3) = a+3/b+3
4.Ratio Is unitless Quantity.
5.We Can Divide The Ration In Following Types:
A.Duplicate Ratio: a^2:b^2 Is The Duplicate Ratio Of a:b.
B.Sub-Duplicate Ratio: (a^1/2):(b^1/2) Is Sub Duplicate Ratio Of a:b.
C.Sub-Triplicate Ratio: (a^1/3):(b^1/3) Is Subtriplicate Ratio Of a:b.
D.Compound Ratio: ab:cd Is The Compound ratio Of (a/b) And (c:d).
E.Inverse Ratio: 1/a:1/b Is The Inverse Ratio Of a:b.
F.Componendo And Dividendo: If We take a/b And c/d Then According To Componendo and Dividendo Rule:
a/b = c/d = a+b/a-b = c+d/c-d

Propotion

1.The Equality Of Two Ratio Is called Propotion.
Example: If We take a/b = c:d, Then We can Also Write Is a:b::c:d
a and d Called Extremes And b and c Called means Terms
There Is Relation Between Mean Terms And Extremes, That is:
Product Of Extreme = Product Of Means terms
a*d = b*c
2.Third Propotion: If We Take a/b=b/c Then b Is Called Third Propotion. and b^2 = a*c
And These a, b And c Are In Continued Propotion.
3.Fourth Propotion: If We Take a, b, c, d Then a:b = c:d Then There Is Relation Like ad=bc And d is called fourth propotion of a,b and c.

Some useful Terms And Relations:

If We take a:b/c:d Then Following Relation Would Hold
A.Intervendo = b:a=d:c
B.Alternendo = a:c=b:d
C.Componendo = (a+b):b = (c+d):d
D.Dividendo = (a-b):b = (c-d):d



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