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In a country, 21 percent of the population is aged 0-14, 63 percent is aged 15-64, and 16 percent is aged 65 and above. Approximately what is the difference between the total dependency ratio and the old-age dependency ratio?

Answer and explanation

Correct answer: About 33

The working-age group is 15–64 years, so the dependent groups are children aged 0–14 and older people aged 65 and above. The total dependency ratio is \(\frac{21+16}{63}\times100=\frac{37}{63}\times100\approx58.7\). The old-age dependency ratio is \(\frac{16}{63}\times100\approx25.4\). The question asks for the difference between these two ratios, not the total ratio alone.

Subtracting gives approximately \(58.7-25.4=33.3\). Thus the difference is about 33, so option B is correct. An equivalent shortcut is to notice that the total ratio includes both child and old-age dependency, while the difference leaves only child dependency: \(\frac{21}{63}\times100\approx33.3\). Rounding explains the listed value.

Related tags

Dependency RatiosAge StructurePopulation CompositionDemographic CalculationGeographyClass 12 Mcq

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