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If children form 25 percent, elderly people 15 percent, and working-age people 60 percent, what are the approximate child and elderly dependency ratios respectively?

Answer and explanation

Correct answer: 42 and 25

A dependency ratio compares a dependent age group with the working-age group, not with the entire population. Therefore, the child share and elderly share must each be divided by the 60 percent working-age share and then multiplied by 100. The word “respectively” means that the child ratio must be stated first and the elderly ratio second.

Child dependency = \(\frac{25}{60}\times100\approx41.7\), which rounds to 42. Elderly dependency = \(\frac{15}{60}\times100=25\). Hence the correct pair is 42 and 25, option A. The pair 25 and 15 merely repeats the population shares and ignores the working-age denominator, so it is not a dependency-ratio calculation.

Related tags

Child DependencyElderly DependencyRatio CalculationWorking Age PopulationAge StructurePopulation CompositionGeographyClass 12 Mcq

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