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.
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?
1:3
2:5
3:7
4:9
Correct answer is B
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)/3 = 4
Therefore 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)/25 ) million = 25.6 million.
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)/5 = 3.6
Therefore 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)/15 ) million = 64 million.
Thus, Required ratio = Nq/Nt = 25.6/64 = 0.4 = 2.5
