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  1. 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?

    2. A.

    1:3
    B.

    2:5
    C.

    3:7
    D.

    4:9

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    Answer : Option B

    Explanation :

    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 = \(\frac { 5*2.4 } { 3} \) = 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  = [ \(\frac { 6.4*100 } { 25 } \) 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 = \(\frac { 3*6 } { 5 } \) = 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 = [ \(\frac {9.6 *100 } { 15 }\) ] million = 64 million 

    Thus, Required ratio = \( \frac { N q } { Nt }\) = \(\frac { 25.6 } {64}\) = 0.4 = \( \frac {2} { 5 }\)

     

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