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?
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? Correct Answer 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.