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)

    4.7

  • Option 2)

     2:5  

  • Option 3)

     3:7 

  • Option 4)

     4:9

  • Option 5)

    1:3

Answers (1)

Male population below poverty line = 2.4 million ‘

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

Total population below poverty = 6 + 3.6 = 9.6

15% = 9.6 million

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

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

2:5

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