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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:

What will be the male population above poverty line for State P if the female population below poverty line for State P is 2.1 million?

A 2.1 million

B 2.3 million

C 2.7 million

D 3.3 million

ANS:D - 3.3 million

Female population below poverty line for State P = 2.1 million Let the male population below poverty line for State P be x million.

Then, 5 : 6 = x : 21     =>     x = 2.1 x 5 = 1.75.
6
Therefore Population below poverty line for State P = (2.1 + 1.75) million = 3.85 million. Let the population above poverty line for State P by y million. Since, 35% of the total population of State P is below poverty line, therefore, 65% of the total population of State P is above poverty line i.e., the ratio of population below poverty line to that above poverty line for State P is 35 : 65.
Therefore 35 : 65 = 3.85 : y     =>     y = 65 x 3.85 = 7.15.
35
Therefore Population above poverty line for State P = 7.15 million and so, male population above poverty line for State P
    = ( 6 x 7.15 ) million
13
    = 3.3 million.