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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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