Data Interpretation  Line Charts
The following line graph gives the percent profit earned by two Companies X and Y during the period 1996  2001.
Percentage profit earned by Two Companies X and Y over the Given Years
%Profit =  Income  Expenditure  x 100 
Expenditure 
Let the incomes in 2000 of Companies X and Y be 3x and 4x respectively.
And let the expenditures in 2000 of Companies X and Y be E_{1} and E_{2} respectively.
Then, for Company X we have:
65 =  3x  E_{1}  x 100  65  =  3x   1 E_{1} = 3x x  100  .... (i)  
E_{1}  100  E_{1}  165 
For Company Y we have:
50 =  4x  E_{2}  x 100  50  =  4x   1 E_{2} = 4x x  100  .... (ii)  
E_{2}  100  E_{2}  150 
From (i) and (ii), we get:
E_{1}  = 

=  3 x 150  =  15  (Required ratio).  
E_{2} 

4 x 165  22 
Profit percent of Company Y in 1997 = 35.
Let the income of Company Y in 1997 be Rs. x crores.
Then, 35 =  x  220  x 100 x = 297. 
220 
Income of Company Y in 1997 = Rs. 297 crores.
Let the expenditures of each companies X and Y in 1996 be Rs. x crores.
And let the income of Company X in 1996 be Rs. z crores.
So that the income of Company Y in 1996 = Rs. (342  z) crores.
Then, for Company X we have:
40 =  z  x  x 100  40  =  z   1 x =  100z  .... (i) 
x  100  x  140 
Also, for Company Y we have:
45 =  (342  z)  x 100  45  =  (342  z)   1 x =  (342  z) x 100  .... (ii) 
x  100  x  145 
From (i) and (ii), we get:
100z  =  (342  z) x 100  z = 168. 
140  145 
Substituting z = 168 in (i), we get : x = 120.
Total expenditure of Companies X and Y in 1996 = 2x = Rs. 240 crores.
Total income of Companies X and Y in 1996 = Rs. 342 crores.
Total profit = Rs. (342  240) crores = Rs. 102 crores.
Let the income of Company X in 1998 be Rs. x crores.
Then, 55 =  x  200  x 100 x = 310. 
200 
Expenditure of Company X in 2001  = Income of Company X in 1998 
= Rs. 310 crores. 
Let the income of Company X in 2001 be Rs. z crores.
Then, 50 =  z  310  x 100 z = 465. 
310 
Income of Company X in 2001 = Rs. 465 crores.
Let the incomes of each of the two Companies X and Y in 1999 be Rs. x.
And let the expenditures of Companies X and Y in 1999 be E_{1} and E_{2} respectively.
Then, for Company X we have:
50 =  x  E_{1}  x 100  50  =  x   1 x =  150  E_{1} .... (i) 
E_{1}  100  E_{1}  100 
Also, for Company Y we have:
60 =  x  E_{2}  x 100  60  =  x   1 x =  160  E_{2} .... (ii) 
E_{2}  100  E_{2}  100 
From (i) and (ii), we get:
150  E_{1} =  160  E_{2}  E_{1}  =  160  =  16  (Required ratio). 
100  100  E_{2}  150  15 