Data Interpretation

Table Chart 3

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Table Chart 3

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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.

StatePercentage of Population below the Poverty LineProportion of Males and Females
Below Poverty LineAbove Poverty Line
M : FM : F
P355 : 66 : 7
Q253 : 54 : 5
R241 : 22 : 3
S193 : 24 : 3
T155 : 33 : 2

Question 1
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
E
1.61 million
Correct Answer: Option B

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.

Question 2
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
E
5 : 12
Correct Answer: Option B

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

= 25.6 million.

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 
15
= 64 million.

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

Question 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
E
3.4 million
Correct Answer: Option D

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.

Question 4
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
E
7.6 million
Correct Answer: Option D

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.