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The table shows the percentage distribution of the population (only male and female) according to Gender and Literacy.StatePercentage literateGenderLi
Question

The table shows the percentage distribution of the population (only male and female) according to Gender and Literacy.

State

Percentage literate

Gender

Literate

Illiterate

M : F

M : F

A

55

5 : 6

4 : 5

B

72

1 : 1

3 : 2

C

78

4 : 3

3 : 2

If the literate male population of state A the state is: is 5,00,000, then the total population of the state is:

A.

30,00,000

B.

40,00,000

C.

16,00,000

D.

20,00,000

Correct option is D

Given:

Percentage of literate population in State A = 55%

Ratio of literate males to females (M:F) =5:6

Literate male population = 5,00,000

Formula Used:

Total Literate Population = Literate Male Population×Total RatioMale Ratio\text{Literate Male Population} \times \frac{\text{Total Ratio}}{\text{Male Ratio}}

Total Population = Total Literate Population×100Percentage Literate\frac{\text{Total Literate Population} \times 100}{\text{Percentage Literate}}

Solution:

Male : Female = 5:6

5 + 6 = 11

Total Literate Population = 5,00,000×115 \times \frac{11}{5}​​

=1,00,000×11

=11,00,000

Total Population = 11,00,000×10055\frac{11,00,000 \times 100}{55}​​

= 11,00,00,00055\frac{11,00,00,000}{55}​​

= 20,00,000

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