Data Interpretation - Table Charts

The following table gives the percentage distribution of population of five states, P, Q, R, S and T on the basis of poverty line and also on the basis of sex.

State Percentage of Population below the Poverty Line Proportion of Males and Females
Below Poverty Line Above Poverty Line
M : F M : F
P355 : 66 : 7
Q253 : 54 : 5
R241 : 22 : 3
S193 : 24 : 3
T155 : 33 : 2

1. 

If the male population above poverty line for State R is 1.9 million, then the total population of State R is?

A. 4.5 million
B. 4.85 million
C. 5.35 million
D. 6.25 million

Answer: Option D

Explanation:

Let the total population of State R be x million.

Then, population of State R above poverty line

    = [(100 - 24)% of x] million

    = ( 76 x x ) million
100

And so, male population of State R above poverty line

    = [ 2 x ( 76 x x ) ] million
5 100

But, it is given that male population of State R above poverty line = 1.9 million.

Therefore 2 x ( 76 x x ) = 1.9     =>     x = 5 x 100 x 1.9 = 6.25.
5 100 76 x 2

Therefore Total population of State R = 6.25 million.


2. 

What will be the number of females above the poverty line in the State S if it is known that the population of State S is 7 million?

A. 3 million
B. 2.43 million
C. 1.33 million
D. 5.7 million

Answer: Option B

Explanation:

Total population of State S = 7 million.

Therefore Population above poverty line

    = [(100 - 19)% of 7] million

    = (81% of 7) million

    = 5.67 million.

And so, the number of females above poverty line in State S

    = ( 3 x 5.67 ) million
7

    = 2.43 million.


3. 

What will be the male population above poverty line for State P if the female population below poverty line for State P is 2.1 million?

A. 2.1 million
B. 2.3 million
C. 2.7 million
D. 3.3 million

Answer: Option D

Explanation:

Female population below poverty line for State P = 2.1 million

Let the male population below poverty line for State P be x million.

Then, 5 : 6 = x : 21     =>     x = 2.1 x 5 = 1.75.
6

Therefore Population below poverty line for State P = (2.1 + 1.75) million = 3.85 million.

Let the population above poverty line for State P by y million.

Since, 35% of the total population of State P is below poverty line, therefore, 65% of the total population of State P is above poverty line i.e., the ratio of population below poverty line to that above poverty line for State P is 35 : 65.

Therefore 35 : 65 = 3.85 : y     =>     y = 65 x 3.85 = 7.15.
35

Therefore Population above poverty line for State P = 7.15 million and so, male population above poverty line for State P

    = ( 6 x 7.15 ) million
13

    = 3.3 million.


4. 

If the population of males below poverty line for State Q is 2.4 million and that for State T is 6 million, then the total populations of States Q and T are in the ratio?

A. 1:3
B. 2:5
C. 3:7
D. 4:9

Answer: Option B

Explanation:

For State Q:

Male population below poverty line = 2.4 million.

Let the female population below poverty line be x million.

Then, 3 : 5 = 2.4 : x     =>     x = 5 x 2.4 = 4.
3

Therefore Total population below poverty line = (2.4 + 4) = 6.4 million.

If Nq be the total population of State Q, then,

25% of Nq = 6.4 million     =>     Nq = ( 6.4 x 100 ) million = 25.6 million.
25

For State T:

Male population below poverty line = 6 million.

Let the female population below poverty line be y million.

Then, 5 : 3 = 6 : y     =>     y = 3 x 6 = 3.6.
5

Therefore Total population below poverty line = (6 + 3.6) = 9.6 million.

If Nt be the total population of State T, then,

15% of Nt = 9.6 million     =>     Nt = ( 9.6 x 100 ) million = 64 million.
15

Thus, Required ratio = Nq = 25.6 = 0.4 = 2 .
Nt 64 5