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)

[f the incomes of the two Companies were equal in 1999, then what was the ratio of expenditure of Company X to that of Company Y in 1999 ?


A) 6 : 5

B) 5: 6

C) 11:6

D) 16 :15

E) 15 :16

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 E1 and E2 respectively.
Then, for Company X we have :

50 = ( ( x - E1) / E1 ) X 100 => 50/100= x/E1 => x = (150/100)E1

Also, for Company Y we have :

60 = ( ( x - E2) / E2 ) X 100 => 60/100=( (x/E2) - 1)  => x = (160/100)E2

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

(150/100)E1=(160/100)E2 => E1/E2=160/150=16/15