Line Charts - General Aptitude

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

Q1:

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 ?

A 6:5

B 5:6

C 11:6

D 16:15

ANS:D - 16:15

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 x 100     =>     50 = x - 1     =>     x = 150 E1 .... (i)
E1 100 E1 100
Also, for Company Y we have:
60 = x - E2 x 100     =>     60 = x - 1     =>     x = 160 E2 .... (ii)
E2 100 E2 100
From (i) and (ii), we get:
150 E1 = 160 E2     =>     E1 = 160 = 16 (Required ratio).
100 100 E2 150 15