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Table Charts - General Aptitude

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
P355 : 66 : 7
Q253 : 54 : 5
R241 : 22 : 3
S193 : 24 : 3
T155 : 33 : 2
Q1:

If the male population above poverty line for State R is 1.9 million, then the total population of State R is?

A 4.5 million

B 4.85 million

C 5.35 million

D 6.25 million

ANS:D - 6.25 million

Let the total population of State R be x million. Then, population of State R above poverty line     = [(100 - 24)% of x] million

    = ( 76 x x ) million
100
And so, male population of State R above poverty line
    = [ 2 x ( 76 x x ) ] million
5 100
But, it is given that male population of State R above poverty line = 1.9 million.
Therefore 2 x ( 76 x x ) = 1.9     =>     x = 5 x 100 x 1.9 = 6.25.
5 100 76 x 2
Therefore Total population of State R = 6.25 million.