# Direction : 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. State Percentage of Population below the 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 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? Option 1) 4.7Option 2)  2:5  Option 3)  3:7 Option 4)  4:9Option 5) 1:3

Male population below poverty line = 2.4 million ‘

So female = $\dpi{100} \frac{(5\times 2.4)}{3}=4\; million$

Total population below poverty = 4 + 2.4 = 6.4

25% = 6.4

So 100 % = 25.6 million

For state T

Male population below poverty line = 6 million

So female = $\dpi{100} 3\times \frac{6}{5}=3.6$

Total population below poverty = 6 + 3.6 = 9.6

15% = 9.6 million

So 100 % =  $\dpi{100} \frac{9.6}{15}\times100=64\; million$

Required ratio =  $\dpi{100} \frac{25.6}{64}=0.4=\frac{2}{5}$

2:5

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