Data Interpretation  Pie Charts
Exercise : Pie Charts  Pie Chart 12
Directions to Solve
Study the following graph and the table and answer the questions given below.
Data of different states regarding population of states in the year 1998
Total population of the given States = 3276000.
States  Sex and Literacy wise Population Ratio  
Sex  Literacy  
M  F  Literate  Illiterate  
A.P  5  3  2  7 
M.P  3  1  1  4 
Delhi  2  3  2  1 
Goa  3  5  3  2 
Bihar  3  4  4  1 
U.P.  3  2  7  2 
T.N.  3  4  9  4 
1.
What will be the percentage of total number of males in U.P., M.P. and Goa together to the total population of all the given states?
Answer: Option
Explanation:
Number of males in U.P =  3  of (15% of N)  =  3  x  15  x N = 9 x  N  .  
5  5  100  100 
where N = 3276000.
Number of males in M.P =  3  of (20% of N)  =  3  x  20  x N = 15 x  N  .  
4  4  100  100 
Number of males in Goa =  3  of (12% of N)  =  3  x  12  x N = 4.5 x  N  .  
8  8  100  100 
Total number of males in these three states 



Required Percentage = 

x 100  % = 28.5%.  
N 
2.
What was the total number of illiterate people in A.P. and M.P. in 1998?
Answer: Option
Explanation:
No. of illiterate people in A.P. =  7  of (25% of 3276000)  = 637000.  
9 
No. of illiterate people in M.P. =  4  of (20% of 3276000)  = 524160.  
5 
Total number = (637000 + 524160) = 1161160.
3.
What is the ratio of the number of females in T.N. to the number of females in Delhi?
Answer: Option
Explanation:
Required ratio 







4.
What was the number of males in U.P. in the year 1998?
Answer: Option
Explanation:
Number of males in U.P. 




= 294840. 
5.
If in the year 1998, there was an increase of 10% in the population of U.P. and 12% in the population of M.P. compared to the previous year, then what was the ratio of populations of U.P. and M.P. in 1997?
Answer: Option
Explanation:
Let x be the population of U.P. in 1997. Then,
Population of U.P. in 1998 = 110% of x =  110  x x. 
100 
Also, let y be the population of M.P. in 1997. Then,
Population of M.P. in 1998 = 112% of y =  112  x y. 
100 
Ratio of populations of U.P. and M.P. in 1998 = 

=  110x  .  

112y 
From the piechart, this ratio is  15  . 
20 
110x  =  15  x  =  15  x  112  =  42  .  
112y  20  y  20  110  55 
Thus, ratio of populations of U.P. and M.P. in 1997 = x : y = 42 : 55.
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