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Numerical Problems · Q12

Q.In a region, the population aged 0-14 years is 3,00,000, the population aged 65 years and above is 1,00,000, and the working-age population (15-64 years) is 8,00,000. Calculate the dependency ratio.

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Given: Population 0-14 years = 3,00,000; Population 65+ years = 1,00,000; Working-age population (15-64 years) = 8,00,000.

Formula:

Dependency Ratio=Population (0–14 yrs)+Population (65+ yrs)Population (15–64 yrs)×100\text{Dependency Ratio} = \frac{\text{Population (0–14 yrs)} + \text{Population (65+ yrs)}}{\text{Population (15–64 yrs)}} \times 100

Step 1 — Find total dependent population:

3,00,000+1,00,000=4,00,0003,00,000 + 1,00,000 = 4,00,000

Step 2 — Apply the formula:

Dependency Ratio=4,00,0008,00,000×100=50%\text{Dependency Ratio} = \frac{4,00,000}{8,00,000} \times 100 = 50\%

Independent verification (cross-check): 8,00,000×0.50=4,00,0008,00,000 \times 0.50 = 4,00,000, which exactly matches the total dependent population computed above, confirming the result. …

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