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If a country's working-age population is 64 percent and total dependency ratio is 56.25, approximately what is the dependent share of total population?

Answer and explanation

Correct answer: 36 percent

The dependency ratio compares the dependent population with the working-age population, not with the whole population. A ratio of 56.25 means that for every 100 working-age people, there are 56.25 dependent people. Since the working-age group is 64 percent of the total population, the dependent share can be found by multiplying 64 by 0.5625.

Thus, dependent share = \(64\times0.5625=36\) percent. The result also passes a useful population check: \(64+36=100\) percent. Therefore, option C, 36 percent, is correct. Option D is not correct because 56.25 is a ratio relative to working-age people, not a direct percentage of the total population.

Related tags

Dependency RatioDependent ShareWorking Age PercentageAlgebraAge StructurePopulation CompositionGeographyClass 12 Mcq

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