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1. 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 F : F

P 35 5 : 6 6 : 7

Q 25 3 : 5 4 : 5

R 24 1 : 2 2 : 3

S 19 3 : 2 4 : 3

T 15 5 : 3 3 : 2

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

A. 4.5 million

B. 4.85 million

C. 5.35 million

D. 6.25 million

Solution:

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

(\frac{76}{100} \times x)

million
And so, male population of state R above poverty line

{\frac{2}{5} \times (\frac{76}{100} \times x)}

million
But, it is given that male population of state R above poverty line = 1.9 million

\begin{aligned} ∴ \frac{2}{5} \times (\frac{76}{100} \times x) = 1.9 \\ \Rightarrow x = \frac{5 \times 100 \times 1.9}{76 \times 2} \\ \Rightarrow x = 6.25 \end{aligned}

∴ Total population of state R = 6.25 million

State	Percentage of Population Below Poverty Line	Proportion of Males and Females
		Below Poverty Line	Above Poverty Line
		M : F	F : F
P	35	5 : 6	6 : 7
Q	25	3 : 5	4 : 5
R	24	1 : 2	2 : 3
S	19	3 : 2	4 : 3
T	15	5 : 3	3 : 2

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