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The following table shows the percentage population of four states below poverty line, and the male to female ratios both above and below the poverty
Question

The following table shows the percentage population of four states below poverty line, and the male to female ratios both above and below the poverty line.

State

Percentage of population below poverty line

Ratio of male to female

Below poverty line

Above poverty line

Male : Female

Male : Female

P

13

1 : 2

1 : 4

Q

19

2 : 5

3 : 5

R

11

3 : 4

2 : 9

S

15

1 : 6

7 : 4

If the population of states Q and S is 14,700 each, then what is the total number of males below poverty line in these states?

A.

1276

B.

1479

C.

1113

D.

1364

Correct option is C

Given:

Population of State Q = 14,700

Population of State S = 14,700

Percentage of population below the poverty line:

State Q = 19%

State S = 15%

Male to Female Ratio below poverty line:

State Q = 2:5

State S = 1:6

Concept Used:

Males below poverty line = Total population below poverty line×Male ratioSum of male and female ratio\frac{\text{Total population below poverty line} \times \text{Male ratio}}{\text{Sum of male and female ratio}}

Total population below poverty line = Percentage×Total Population100\frac{\text{Percentage} \times \text{Total Population}}{100}

Solution:

State Q:

Below poverty line} = 19×14,700100\frac{19 \times 14,700}{100}​ = 2,793

State S:

Below poverty line = 15×14,700100\frac{15 \times 14,700}{100}​ = 2,205

State Q (Male :Female = 2:5):

Males = 22+5×2,793=27×\frac{2}{2+5} \times 2,793 = \frac{2}{7} \times ​ 2,793 = 798

State S (Male :Female = 1:6):

Males = 11+6×2,205=17×\frac{1}{1+6} \times 2,205 = \frac{1}{7} \times​ 2,205 = 315

798 + 315 = 1,113

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