Skip to main content

FEATURED ARTICLES

Metamorphosing Sociopolitical Matrix of India under rule of East India Company

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…

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

RATIO AND PROPORTION




* 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)

Comments

POPULAR SEARCHES

" THE LAWS OF NATURE" प्रकृति के नियम, जिससे कोई भी बच नहीं सकता, आप भी नहीं | प्रकृति के तीन गुण क्या है?|

"लॉज ऑफ नेचर" कहता है -

* प्रकृति क्या है?
 किसी राष्ट्र या देश को आदर्श राष्ट्र या देश बनाने के लिए निःसंदेह एक आदर्श कानून व्यवस्था की आवश्यकता होती है, जिसके नजर में उस देश में रहने वाला सूक्ष्म जीव से लेकर विशालकाय जीव तक सभी एक समान होते है। किसी देश का स्वामी एक मनुष्य हो सकता है, इस पृथ्वी का स्वामी भी एक मनुष्य हो सकता है, किन्तु क्या इस सम्पूर्ण ब्रह्माण्ड का स्वामी भी एक मनुष्य हो सकता है, शायद नहीं .... अब यहां पर एक प्रश्न है उठता है, कि क्या इस सम्पूर्ण ब्रह्माण्ड को भी किसी स्वामी की आवश्यकता है? यदि किसी देश को स्वामी कि आवश्यकता है, यदि पृथ्वी को किसी स्वामी की आवश्यकता है, तो यकीनन इस ब्रह्मांड को भी एक स्वामी कि आवश्यकता है। इस ब्रह्मांड का स्वामी जो कोई भी है, उसके लिए ये पूरा ब्रह्मांड एक देश जैसा है, जिसके भीतर हमारे जैसे असंख्य जीव रह रहे है, इस ब्रह्मांड में हम अकेले नहीं है। यदि ये पूरा ब्रह्मांड एक देश है, तो निश्चित ही इस देश का भी एक नियम होगा कोई कानून होगा। यदि हम किसी देश की बात करें तो वहां कानून व्यवस्था बनाए रखने के लिए सैनिकों को तैनात किया …

THE GENERAL THEORY OF RELATIVITY | A Unique way to explain gravitational phenomenon.

Today we are going to talk about a very important and revolutionary concept that is THE GENERAL THEORY OF RELATIVITY.
This theory came into existence after 10 years of special theory of relativity (1905), and published by Albert Einstein in 1915.
This theory generalise the special theory of relativity and refines the Newton's laws of universal gravitation.
After coming this theory people's perspective about space and time has been changed completely. And this theory give a new vision to understand the spacetime geometry.
This theory gives a unified description of gravity as a geometrical properties of space and time.
This theory helps us to explain some cosmological phenomenon that is ,

* why small planets revolve around the big stars?
* Why everything in this universe is keep moving?
* Why mostly planets and stars are spherical in shape?
* Why does gravity create?
* Why does time become slow near the higher gravitating mass. Ie. Gravitational time dilation.
And gravitational…

Was East India Company supremely functioning as a Colonial Trading Group till 1857?

Was British East India Company supremely functioning as a Colonial Trading Group till 1857?

After acquiring the royal charter from the ruler of England in 1600, the British East India Company attained a monopoly on trade with East. The company eliminated competition in business; asserted control over Bengal after Battle of Plassey 1757; achieved Diwani rights ( i.e. revenue collection rights over Bengal, Bihar and Orisha) after Treaty of Allahabad 1765 and emerged as a supreme political power by the middle eighteenth century. But interestingly, the company experienced financial collapse by the second half of the eighteenth century because of nepotism and persistence of corruption in company officials. ( Such corrupt officials were often referred as nabobs- an anglicised form of the nawab.)
British Parliamentary Government investigated the inherent functioning of the company and introduced several acts to induce discipline in the company officials. Regulating Act/ Charter Act (1773):Thi…

THE SPECIAL THEORY OF RELATIVITY | understanding the basic concepts.

Today we are going to talk about a very interesting concept of classical mechanics,
And which topic we are going to talk about today, is always being a subject of discussion so far. Most of the people can't understand this concept after reading once, but today we are going to talk about this with a simplified explanation... If you want to understand then read it till end.
We are talking about , THE SPECIAL THEORY OF RELATIVITY. Which are originally proposed by the genius Albert Einstein in 26 September 1905 with the title of  " ON THE ELECTRODYNAMICS OF MOVING BODY". And it is generally accepted and experimentally confirmed physical theory.
After coming this theory , the way of watching the universe has been changed completely.
If we want to understand this theoretical concept. Then we have to start it from starting point. Then let's start...
Going further in the article , we have to take a look at the basic idea behind this theory , which is termed as the postulate…

Short-tricks and fast track arithmetic formulae on COMPOUND INTEREST | Laws Of Nature

ARITHMETIC FORMULAE ON COMPOUND INTEREST
1). If P principle is invested with r% pa for n years at compound interest-
*. If Interest is compounded annually then amount is , A = P(1+r/100)^n
*. If Interest is compounded half yearly then amount is , A = P(1+r/200)^2n
*. If interest is compounded quarterly then amount is , A = P(1+r/400)^4n
2). If a city population is P , and it is increasing at the rate of r% annually then-
*. Population after n years -     Population = P(1+r/100)^n
*. Population before n years -     Population = P/(1+r/100)^n
3). If any principle on compound interest become x times in n1 years and y times in n2 years, then = [x^(1/n1) = y^(1/n2)]
4). If the simple interest of any principle for 2 years at the rate of r% annually is SI , then -   Compound Interest = SI(1+r/200)
5). If the simple interest of any principle for 2 years at the rate of r% annually is SI , then the difference between the compound interest and the simple interest is = SI×r/200
6). At compound i…