The following line graph gives the annual percent profit earned by a Company during the period 1995 - 2000.
Percent Profit Earned by a Company Over the Years.
%Profit = (Income - Expenditure)/Expenditure x 100
If the expenditures in 1996 and 1999 are equal, then the approximate ratio of the income in 1996 and 1999 respectively is?
A.
1:1
B.
2:3
C.
13:14
D.
9:10
Correct answer is D
Let the expenditure in 1996 = x.
Also, let the incomes in 1996 and 1999 be I1 and I2 respectively.
Then, for the year 1996, we have:
55 = (I1 - x)/x x 100 => 55/100 = I1/x - 1 => I1 = 155x/100 ... (i)
70 = (I2 - x)/x x 100 => 70/100 = I2/x - 1 => I2 = 170x/100 ... (ii)
From (i) and (ii), we get:
I1/I2 = (155x/100)/(170x/100) = 155/170 ≈ 0.91/1 ≈ 9 : 10