Directions: Study the given table and answer the following question.
The table shows the percentage population of four states and the proportion of males to females below and above the poverty line.
If the population of states A and D is 18,000 each, then what is the total number of females below the poverty line in these states?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 6270.
For State A:-
Total population = 18000
Population below poverty line = 36% of 18000 = 36 × 18000/100 = 6480
Male to female below poverty line ratio in state A = 5 : 3
Let the common ratio be x.
According to the question -
⇒ 5x + 3x = 6480
⇒ 8x = 6480
⇒ x = 810
Total number of females below the poverty line in state A = 3x = 3 × 810 = 2430
For State D:-
Total population = 18000
Population below poverty line = 32% of 18000 = 32 × 18000/100 = 5760
Male to female below poverty line ratio in state D = 1 : 2
Let the common ratio be x.
According to the question -
⇒ 1x + 2x = 5760
⇒ 3x = 5760
⇒ x = 1920
Total number of females below the poverty line in state D = 2x = 2 × 1920 = 3840
Hence,
The total number of females below the poverty line in states A and D = 2430 + 3840 = 6270