Quantitative Aptitude Course in Chennai by KCS Education
Ratio and proportion
Ratio Ratio of a and b is the fraction ab represented as a b Here a is called as antecedent and b is called as consequent
Rule Multiplication or division of each term in a ratio will not affect the ratio
Example 4 7 8 14 12 21
15 20 3 4
Proportion The equality of two ratios is called Proportion If a b c d means a b c d we say a b c d are in proportion Here in the expression a b c d a d are called extremes and b c are called mean terms
Product of extremes Product of means
a x d b x c
i Third Proportion if ab bc then c is called as the third proportion to a and b
ii Mean Proportional Mean proportional between a and b is ? a x b
iii Fourth Proportional If abcd then d is called the fourth proportional to abc
i Comparison of Ratios if ab cd then ab cd
ii Compounded Ratio Consider the ratio ab cd ef then a c e b d f is called as compounded ratio
i Duplicate ratio of ab is a2b2
ii Sub Duplicate ratio of ab is ?a ?b
iii Triplicate ratio of ab is a3b3
iv Sub Triplicate ratio of ab is 3?a 3?b
v If ab cd then ababcdcd This is called as Componendo – Dividendo Rule
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