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. Study the table and answer the questions based on it.
State
Percentage of population below 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
14
1:2
2:3
S
9
3:2
4:3
T
15
5:3
3:2
Question: 1
What will be the number of females above poverty line in the State 5 if it is known that the population of State S is 7 million?
Percentage of population above poverty line for state D = 100\(\%\) - 19\(\%\) = 81\(\%\) Since the total population is 7 million of state D. →Total population above poverty line for state D = 81\(\%\) of 7 million = 5.67 million Now the ratio of males and females above the poverty line for state D = 4:3 \(\therefore\) Fraction of females \(=\frac{3}{7}\) Number of females above the poverty line in the state D \(=(\frac{3}{7})\times5.67=2.43\) million there are 2.43 million females above the poverty line in state D. The correct option is (B): 2.43 million
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Question: 2
If the male population above poverty line for State R is 1.9 million, then the total population of State R is
Percentage of population above poverty line in state C = 100\(\%\) -24\(\%\) = 76\(\%\) Also, the ratio of males and females for state C who are above the poverty line = 2:3 Let the total population of state C be x. Now, the fraction of males above the poverty line is \(\frac{2}{5}\). Also, the male population is 1.9 million. ⇒ \(x\times\frac{76}{100}\times\frac{2}{5}=1.9\) ⇒ \(x=6.25\) million the total population of state C is 6.25 million. The correct option is (D): 6.25 million