Exercise :: Line Charts  Line Chart 4
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 
1.  The incomes of two Companies X and Y in 2000 were in the ratio of 3:4 respectively. What was the respective ratio of their expenditures in 2000 ? 

Answer: Option C Explanation: 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:
For Company Y we have:
From (i) and (ii), we get:

2.  If the expenditure of Company Y in 1997 was Rs. 220 crores, what was its income in 1997 ? 

Answer: Option B Explanation: Profit percent of Company Y in 1997 = 35. Let the income of Company Y in 1997 be Rs. x crores.
Income of Company Y in 1997 = Rs. 297 crores. 
3.  If the expenditures of Company X and Y in 1996 were equal and the total income of the two Companies in 1996 was Rs. 342 crores, what was the total profit of the two Companies together in 1996 ? (Profit = Income  Expenditure) 

Answer: Option D Explanation: 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:
Also, for Company Y we have:
From (i) and (ii), we get:
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. 
4.  The expenditure of Company X in the year 1998 was Rs. 200 crores and the income of company X in 1998 was the same as its expenditure in 2001. The income of Company X in 2001 was ? 

Answer: Option A Explanation: Let the income of Company X in 1998 be Rs. x crores.
Let the income of Company X in 2001 be Rs. z crores.
Income of Company X in 2001 = Rs. 465 crores. 
5.  If the incomes of two Comapanies were equal in 1999, then what was the ratio of expenditure of Company X to that of Company Y in 1999 ? 

Answer: Option D Explanation: 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:
Also, for Company Y we have:
From (i) and (ii), we get:
