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)

The incomes of the Companies X and Y in 2000 were in the ratio of 3 : 4 respectively. What was the respective ratio of their expenditures in 2060 ?

 


A) 7 : 22

B) 14 : 19

C) 15 : 22

D) 27 : 35

E) 33 : 40

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 Ex and E2 respectively.

Then, for Company X we have :

65 = ( 3x - E1 ) / X 100 => 65/100 = ( 3x / E1 )-1 =>E1 = 3x (100/150)

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

(E1/E2) = ( 3x X (100/165) )  / ( 4x X ( 100/150) ) = ( 3 X 150 )/ 4 X 165 = (15/22) (Required ratio).