# 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%
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
 = (9 + 15 + 4.5) x N 100
 = 28.5 x N . 100

Required Percentage =
 28.5 x N 100
x 100 % = 28.5%.
N

Discussion:
16 comments Page 1 of 2.

Can't get how 3/5 comes in step 1 ?

How 3/5 comes at first step?

Ans:

Ratio of males and females in UP = 3 : 2

Number of Males = 3/(3+2) = 3/5 of 15% of N.

Can any one tell me that how did come 15%, 20% and 12%?

Shailesh. See the pie chart. Its show the percentage.

UP - 15%.
MP - 20%.
Goa - 12%.

I Hope that you Got My Point.

Directly we can take the male percentages to total.

i.e. U.P. Male = 3% of 15% 3276000.

Like this we can take M.P and GOA then we add.

Can anyone tell me how did come 15%? I cannot understand this problem?

Raquel said:   9 years ago
Does any one have a simpler solution to this problem? I don't understand the working out.

Rithish said:   9 years ago
U.P (Male, Female ratio) = 3 : 2 = 3/(3 + 2) = 3/5.

M.P = 3:1 = 3/4.

Goa = 3:5 = 3/8.

We know that 3276000 value remains same for all states.

So, take only the percentages and assume 3276000 as 'N'.

U.P = Population percentage = 15%.

M.P = 20%.

Goa = 12%.

No of men in U.P = 3/5 (15/100) N = (9/100) N.

M.P = 3/4 (20/100) N = (15/100) N.

Goa = 3/8 (12/100) N = (4.5/100) N.

Adding these three, we get (28.5/100) N.

Required % = {(28.5/100)N/N } * 100 = 28.5%.

Lisa said:   8 years ago
How do you get the answers of 9, 14 and 4.5?

Akhilesh said:   8 years ago
What is the average score of this test? Please tell me the derivation part.