# Line Diagram 29

Direction(1 – 5): 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 Q1. 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

E. None of these

Q2. If the income in 1998 was Rs. 264 crores, what was the expenditure in 1998?

A. Rs. 104 crores

B. Rs. 145 crores

C. Rs. 160 crores

D. Rs. 185 crores

E. None of these

Q3. In which year is the expenditure minimum?

A. 2000

B. 1997

C. 1996

D. Cannot be determined

E. None of these

Q4. If the profit in 1999 was Rs. 4 crores, what was the profit in 2000?

A. Rs. 4.2 crores

B. Rs. 6.2 crores

C. Rs. 6.8 crores

D. Cannot be determined

E. None of these

Q5. What is the average profit earned for the given years?

A. 50 2/3

B. 55 5/6

C. 60 1/6

D. 33 5/3

E. None of these

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)*100 è I1= 155x/100 — (1)
70 = ( I2 – x )/(x) * 100 è I2 = 170x/100 —– (2)
From (i) and (ii), we get:
I1 /II2 = 155/170  @ 0.91/1 @ 9/10
Let the expenditure is 1998 be Rs. x crores.
Then, [65 =( 264 –x)/ x] * 100
x = 160
Expenditure in 1998 = Rs. 160 crores