Ratio is the comparison of two or more elements of same type in simple terms.
The ratio of a to b is written as a:b (or) a/b and read as 'a is to b'.
If the amounts with A and B are 20 lakhs and 10 lakhs respectively, we say that A has twice or double that of B.
The number of times one quantity contains other quantity is called ratio of two quantities.
In a: b the first element is called antecedent and second element is called consequent.
Ratio can be modified by multiplying or dividing its terms with the same number.
1 : 2 = 2( 1 : 2) =2 : 4
1 : 2 = 3(1 : 2) = 3 : 6
i.e., 1/2 = 2/4 = 3/6 = 3: 6
If a: b is the ratio then
If a : b, c : d and e: f are three ratios then compound ratio = ratio of first elements to second elements in all the ratios
i.e., a* c* e: b *d * f
If two ratios a : b and c : d are equal then we say that the proportionals a, b, c and d are in proportion
a:b=c:d [written as a : b : : c : d]
a/b = c/d
ad = bc
Product of extremes is equal to product of means.
Here 'a' and 'd' are called 'extremes' and 'b' and 'c are called 'means'.
If a, b, c are in continued proportion then
b2 = ac
b = ac
Here 'b' is called Mean proportional of 'a' and 'c'.