A demographic survey of an agricultural district in West Africa recorded a total populatio… — JAMB UTME

A demographic survey of an agricultural district in West Africa recorded a total population of $80{}000$ inhabitants. The survey broke down the population into $25{}000$ children (aged $0-14$ ), $45{}000$ economically active adults (aged $15-64$ ), and $10{}000$ elderly persons (aged $65$ and above). What is the overall age dependency ratio of this district?

$77.8\%$ Answer
B
$128.6\%$
C
$43.8\%$
D
$55.6\%$

Answer

The overall age dependency ratio of the district is

77.8\%

The overall age dependency ratio is computed by taking the total dependent population (children aged 0–14 plus elderly aged 65+) and dividing it by the working-age population (aged 15–64), then multiplying by 100. Adding

25{}000

children and

10{}000

elderly gives

35{}000

dependents. Dividing

35{}000

by the

45{}000

productive adults yields approximately

77.8\%

Step-by-Step Solution

Calculate total dependent population

25{}000 + 10{}000 = 35{}000

The dependent population consists of children under 15 years and elderly citizens aged 65 and above.

Identify working-age population

45{}000

The economically active population includes individuals aged 15 to 64 years.

Apply age dependency ratio formula

\text{Age Dependency Ratio} = \frac{35{}000}{45{}000} \times 100 = 77.777...\% \approx 77.8\%

The age dependency ratio measures the demographic burden on the productive population per 100 working individuals.

Key Concept

Age Dependency Ratio Calculation

Estimated Time:1m 30s

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