Discussion Forum



 


 The following line-graph gives the percent profit earned by two Companies X and Y during the period 1996 - 2001. Study the line-graph and answer the questions that are based on it.

 

Percentage Profit Earned by Two Companies X and Y over the Given1 Years

 

linegraph-ex2.jpg

1)

If the expenditures of Companies 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)


A) Rs. 240 crores

B) Rs. 171 crores

C) Rs. 120 crores

D) Rs. 102 crores

E) None of these

Answer:

Option D

Explanation:

Let the expenditures of each of the 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 ) X 100 => 40 / 100 =( z/x ) -1 =>x= ( 100z/140 )

Also, for Company Y we have :

45 =( ( ( 342-z ) - x ) / x ) X 100 => 45/100 =( ( 342-z ) /x ) -1 => x=(  ( (342-z) X 100 )/ 145)

From (i) and (if), we get :

100z/140= ( (342 - z) x 100 ) / 145 => z=168

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.