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Calculate the dependency ratio given the following age distribution: 0-14 years (25%), 15-60 years (45%), Above 60 years (30%).

Economics

ScanSolve AI Answer

Answer

A) 11:9\text{A) 11:9}

Step-by-step solution

5 steps
  1. Identify the dependent population.

    The dependent population includes those aged 0-14 years and those above 60 years.
    From the table:

    • Age group 0-14: 25%
    • Age group Above 60: 30% Total dependent population percentage:
    25%+30%=55%25\% + 30\% = 55\%
  2. Identify the working-age population.

    The working-age population includes those aged 15-60 years.
    From the table:

    • Age group 15-60: 45% Total working-age population percentage:
    45%45\%
  3. Calculate the dependency ratio.

    The dependency ratio is the ratio of the dependent population to the working-age population.

    Dependency Ratio=Dependent PopulationWorking-age Population\text{Dependency Ratio} = \frac{\text{Dependent Population}}{\text{Working-age Population}} Dependency Ratio=55%45%\text{Dependency Ratio} = \frac{55\%}{45\%}
  4. Simplify the ratio.

    Divide both numbers by their greatest common divisor, which is 5.

    5545=55÷545÷5=119\frac{55}{45} = \frac{55 \div 5}{45 \div 5} = \frac{11}{9}

    The ratio is 11:911:9.

  5. Match the result with the given options.

    The calculated dependency ratio is 11:911:9, which corresponds to option A.

    The final answer is A) 11:9\text{A) 11:9}.

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