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.

Related Questions

Find the total population of town A. Statement I: Number of males in town B is 11520 which is 80% of the number of females in town A. There are 4880 more males in town A as compared to town B. Statement II: The ratio of number of males and females in town A is 41 : 36 and difference of number of males and females is 2000. 
Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. How many males are there in society A? I. Number of females in society B is 56 more than the number of males in society C. Society C has a total population(male and female combined) of 180. II. Society C has 20% more males than society A who makes 60% of the total population of society A and females in society A is equal to males in society B.