Data Interpretation - Pie Charts - Discussion

Discussion Forum : Pie Charts - Pie Chart 12 (Q.No. 1)
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?
25%
27.5%
28.5%
31.5%
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

Therefore Total number of males in these three states
= (9 + 15 + 4.5) x N
100
= ( 28.5 x N ) .
100

Therefore Required Percentage = [
( 28.5 x N )
100
x 100 ] % = 28.5%.
N

Discussion:
16 comments Page 2 of 2.

Anonymous said:   8 years ago
In the question they didn't mention that the men and female are in the ratio.
(1)

Riri said:   7 years ago
Here They have taken the whole ratio of the population of M +F.

Jimmy said:   7 years ago
How come a number of people in decimals, Like 4.5?

Please, can anyone explain me?
(1)

Ugyen said:   7 years ago
Why we have to add 3+2 in the first step?
(2)

Thinley Gyeltshen said:   5 years ago
First, find a total number of males.

UP = 3/5 * (15% of 3276000) = 294840
MP = 3/4 * (20% of 3276000) = 491400
GOA = 3/8 * (12% of 3276000) = 147420

Now % = total no. Of males(UP + MP + GOA) divide by 3276000* 100.
= 28.5%.
(7)

Sam said:   1 year ago
Very good explanation, Thank You @Rithish.
(3)


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