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If children form 30 percent of a country's population and the child dependency ratio is 50, approximately what is the working-age share, assuming the ratio is calculated only from the given two groups?

Answer and explanation

Correct answer: 60 percent

The governing concept is the child dependency ratio, which compares children with the working-age population rather than expressing children as a percentage of the total population. The formula is child dependency ratio = (children ÷ working-age population) × 100. Let the working-age share be W. Using the given values, (30 ÷ W) × 100 = 50. Therefore, 30 ÷ W = 0.50, so W = 30 ÷ 0.50 = 60 percent. Option C is correct. Option A and option B would produce ratios of 75 and 60 respectively, while option D would produce only about 40. The question excludes older people from this calculation.

Related tags

Child Dependency RatioWorking Age ShareAge StructurePercentage CalculationPopulation CompositionGeographyClass 12 Mcq

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