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Metamorphosing Sociopolitical Matrix of India under rule of East India Company

By Gaurav Rathi
Metamorphosing Sociopolitical Matrix of India under the Regime of East India Company till 1857






Under the colonial rule of the British Imperial Legislative Government and East India Company, the sociopolitical structure of India had undergone a massive change at several levels. East India Company was evolving as a crucial political strength in India by late eighteenth century after deposing prominent regional powers like Bengal, Bombay etc. The Company introduced repressive policies for expansion of territories as elaborated in the article Emergence of East India Company as an Imperialist Political Power in India.
Functioning as an administrative and political entity in India, EIC launched numerous political, social and education-related policies that considerably affected various sections of society like peasants, women, children, industrial sectors and handicrafters. The prime objective of this article is to shed light on the sociopolitical matrix of British India to understand the sta…
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RATIO & PROPORTION important arithmetic formulae | Ratio and proportion short-tricks | list of all formulae.

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By Laws Of Nature
RATIO AND PROPORTION

RATIO & PROPORTION important arithmetic formulae | Ratio and proportion short-tricks | list of all formulae.


Important arithmetic formulae on cube , cuboid etc.

* SOME IMPORTANT SUTRAS

1). If the ratio of any three quantities P , Q and R is a:b:c , then P = aK , Q = bK and R = cK.
Where K is any constant.

2). Inverse ratio of x , y and z is = 1/x : 1/y : 1/z = 
        yz : zx : xy

3). If x is to be divided in the ratio of a:b:c , then first part = ax/a+b+c , second part = bx/a+b+c and third part = cx/a+b+c.

4). If x is the mean proportion between numbers a and b , then x = √(ab).

5). If x and y are the two numbers then their duplicate ratio is = x² : y²

6). If x and y is the numbers then their sub duplicate ratio is = √x : √y

7). If x and y is the two numbers then their triplicate ratio is = x³ : y³

8). If x and y is the two numbers then their sub triplicate ratio = x^1/3 : y^1/3

9). If x and y is the two numbers and their ratio is x:y , then their inverse ratio is = y:x

10). If a:b , c:d and e:f are the three ratio then their compound ratio is = ace : bed

11). If the antecedent is greater than the consequent , then the ratio is known as ratio of greater inequality.

 12). If the antecedent is smaller than the consequent then the ratio is known as the ratio of less inequality.

13). If x is the third proportional to a and b then,x            =  b^2/a

14). If x is the fourth proportional to a , b and c then , x = bc/a

15). If a:b = c:d then their inverse ratio is also equal that is = (b:a = d:c)

16). If (a/b) = (c/d) , that is , a:b = c:d , then 
       * Invertendo = (b/a) = (d/c)
       * Alternendo = (a/c) = (b/d)
       * Componendo = a+b/b = c+d/d
       * Dividendo = a-b/b = c-d/d
       * Componendo and dividendo =
          (a+b/a-b) = (c+d/c-d)

17). If a/b = c/d = i/j = k, then 
    a+c+i+ ..../b+d+j+... = K

18). If A:B = a:b and B:C = m:n then
        A:B:C =am:mb:nb and A: C = am : nb

19). If A:B = a:b , B:C = c:d and C:D = e:f then 
       A:B:C:D = ace:bce:bde:bdf

20). If A is to be divided into ratio a:b , then after division , the difference between the first part and the second part is = (a-b/a+b).A

21). If sum of two numbers is A and their differences is a , then the ratio of the numbers is=
    A+a/A-a

22). If the ratio of diagonals any two square is a:b, then the ratio of their areas =  a² : b²

23). If the ratio of any two numbers is a:b , if each number is increased by x then their ratio become c:d , then the sum of two numbers is =
     x(a+b)(c-d)/(ad-bc)
*Difference between the two numbers is =
    x(a-b)(c-d)/(ad-bc)
* The two numbers is = xa(c-d)/(ad-bc) and 
    xb(c-d)/(ad-bc)

24). If the ratio of income of two persons is a:b , and the ratio of their expenditure is c:d , if each saves X, then-
* Their income = xa(d-c)/(ad-bc) and 
    xb(d-c)/(ad-bc)
* Their expenditure is = xc(b-a)/(ad-bc) and 
    xd(b-a)/(ad-bc)

25). . If the ratio of any two numbers is a:b , if each number is decreased by x then their ratio become c:d , then the two numbers is=
   xa(c-d)/(ad-bc) and  xb(c-d)/(ad-bc)
CATEGORY Arithmetic Sutras
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Short-tricks and fast track arithmetic formulae on COMPOUND INTEREST | Laws Of Nature

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