Data Interpretation  Line Charts
Exercise : Line Charts  Line Chart 6
Directions to Solve
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  x 100 
Expenditure 
1.
If the expenditures in 1996 and 1999 are equal, then the approximate ratio of the income in 1996 and 1999 respectively is?
Answer: Option
Explanation:
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 =  I_{1}  x  x 100  55  =  I_{1}   1  I_{1} =  155x  ... (i)  
x  100  x  100 
70 =  I_{2}  x  x 100  70  =  I_{2}   1  I_{2} =  170x  ... (ii)  
x  100  x  100 
From (i) and (ii), we get:
I1  = 

=  155  0.91  9 : 10.  
I2 

170  1 
2.
If the income in 1998 was Rs. 264 crores, what was the expenditure in 1998?
Answer: Option
Explanation:
Let the expenditure is 1998 be Rs. x crores.
Then, 65 =  264  x  x 100 
x 
65  =  264   1  
100  x 
x =  264 x 100  = 160. 
165 
Expenditure in 1998 = Rs. 160 crores.
3.
In which year is the expenditure minimum?
Answer: Option
Explanation:
The linegraph gives the comparison of percent profit for different years bu the comparison of the expenditures is not possible without more data.
Therefore, the year with minimum expenditure cannot be determined.
4.
If the profit in 1999 was Rs. 4 crores, what was the profit in 2000?
Answer: Option
Explanation:
From the linegraph 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.
What is the average profit earned for the given years?
Answer: Option
Explanation:
Average percent profit earned for the given years
=  1  x [40 + 55 + 45 + 65 + 70 + 60] =  335  = 55  5  . 
6  6  6 
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