Question

The following table gives the percentage distribution of five states: P, Q, R, S and T on the basis of poverty line and also on the basis of gender. Study the table and answer the question:

State	% of Population Below 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

 

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

1. 3 million
2. 2.43 miliion
3. 1.33 million
4.

5.7 million

Answer 1

Correct Answer - Option 2 : 2.43 miliion

Given:

Total population of S = 7 million

Percentage of population below poverty line = 19%

Ratio of Male to Female above poverty line = 4 ∶ 3

Concept used:

Ratio of female = Total population × Female ratio/(Male ratio + Female ratio)

Calculation:

Percentage of population above poverty line = 100% – Percentage below poverty line

⇒ Percentage above poverty line = 100% – 19%

⇒ Percentage above poverty line = 81%

Total population above poverty line = 81% of total population

⇒ Total population above poverty line = 81% × 7 million

⇒ Total population above poverty line = 81/100 × 7000000

⇒ Total population above poverty line = 81 × 70000

Total number of female above poverty line = Total population above poverty line × Female ratio/(Male ratio + Female ratio)

⇒ Number of females = 81 × 70000 × 3/7

⇒ Number of females = 2430000

⇒ Number of female above poverty line = 2.43 million

∴ The number of females above poverty line in the state S is 2.43 million.