Question Details

Study the given table and answer the question that follows.

The table shows the percentage population of four states below poverty line and proportion of male to female.

State Percentage of population below poverty line Proportion of male to female
Below poverty line
Male : Female
Above poverty line
Male : Female
A 36 5 : 3 3 : 4
B 27 6 : 7 4 : 7
C 46 2 : 3 3 : 1
D 32 1 : 2 2 : 7

If the population of states A and D is 18,000 each, then what is the total number of females below poverty line in these states?

Options

A

6250

B

6270

C

6120

D

6050

Show Answer

Correct Answer :

Option B

6270

Solution :

Correct Answer: The total number of females below the poverty line in states A and D combined is 6270.


Let us calculate the number of females below the poverty line for each state step-by-step using the data provided in the table.

Step 1: State A

Total population of State A = 18,000

Percentage of population below poverty line = 36%

Total population below poverty line in State A = 36100×18000=6480

The ratio of Male to Female below the poverty line in State A is 5 : 3.

Total proportion parts = 5 + 3 = 8 parts

Number of females below poverty line in State A = 38×6480=3×810=2430


Step 2: State D

Total population of State D = 18,000

Percentage of population below poverty line = 32%

Total population below poverty line in State D = 32100×18000=5760

The ratio of Male to Female below the poverty line in State D is 1 : 2.

Total proportion parts = 1 + 2 = 3 parts

Number of females below poverty line in State D = 23×5760=2×1920=3840


Step 3: Total Females Below Poverty Line in States A and D

Total females below poverty line = Females in State A + Females in State D

Total = 2430+3840=6270

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