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Table Charts

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 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?

A 1:3

B 2:5

C 3:7

D 4:9

ANS:B - 2:5

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 = 5 x 2.4 = 4.
3
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 = ( 6.4 x 100 ) million = 25.6 million.
25
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 = 3 x 6 = 3.6.
5
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 = ( 9.6 x 100 ) million = 64 million.
15
Thus, Required ratio = Nq = 25.6 = 0.4 = 2 .
Nt 64 5



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