Line Diagram 48

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

Answer & Explanation

1.    Answer: (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)*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
2.    Answer: (C)
Let the expenditure is 1998 be Rs. x crores.
Then, [65 =( 264 –x)/ x] * 100
x = 160
Expenditure in 1998 = Rs. 160 crores
3.    Answer: (D)
The line-graph gives the comparison of percent profit for different years.
But the comparison of the expenditures is not possible without more data.
Therefore, the year with minimum expenditure cannot be determined.
4.    Answer: (D)
From the line-graph we obtain information about the percentage profit only. To find the profit in 2000 we must have the data for the income or expenditure in 2000.
Therefore the profit for 2000 cannot be determined.
5.  Answer: (B)
Average percent profit earned for the given years
= (1/6) x [40 + 55 + 45 + 65 + 70 + 60] = 55  5/6

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