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If children form 21 percent and working-age people form 63 percent of a country's population, what is the child dependency ratio per 100 working-age persons?

Answer and explanation

Correct answer: About 33

The child dependency ratio compares the number of children with the number of working-age people, then expresses the result per 100 working-age persons. The formula is \(\text{child dependency ratio}=\frac{\text{child population}}{\text{working-age population}}\times100\). It is not calculated by simply reading the child percentage as the ratio.

Here, children are 21 percent and working-age people are 63 percent. Thus, \(\frac{21}{63}\times100=\frac{1}{3}\times100\approx33.3\). Rounded to the nearest whole number, this is about 33 children per 100 working-age persons. Therefore, option C is correct. The value 21 would confuse a population share with a dependency ratio.

Related tags

Child Dependency RatioWorking-Age PopulationAge StructurePopulation CompositionGeographyClass 12 Mcq

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