# Data Interpretation - Table Charts

### Exercise :: Table Charts - Table Chart 9

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 P 35 5 : 6 6 : 7 Q 25 3 : 5 4 : 5 R 24 1 : 2 2 : 3 S 19 3 : 2 4 : 3 T 15 5 : 3 3 : 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

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. 2 x 76 x x = 1.9 x = 5 x 100 x 1.9 = 6.25. 5 100 76 x 2 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

Explanation:

Total population of State S = 7 million. 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

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

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 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 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