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) / Expenditure) x 100
If 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 ?
6:5
5:6
11:6
16:15
Correct answer is D
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) - 1 => x = 150/100 E1 .... (i)
Also, for Company Y we have:
60 = (x - E2)/E2 x 100 => 60/100 = (x/E2) - 1 => x = 160/100 E2 .... (ii)
From (i) and (ii), we get:
150/100 E1 = 160/100 E2 => E1/E2 = 160/150 = 16/15 (Required ratio)
