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If a country's child share falls from 24 to 16 percent and elderly share rises from 12 to 20 percent, what happens to the working-age share when considering percentage composition only?

Answer and explanation

Correct answer: It remains unchanged at 64 percent

Because the question asks about percentage composition only, the three age groups must add to 100 percent in each period. Initially, the working-age share is \(100-24-12=64\) percent. Later, the child share is 16 percent and the elderly share is 20 percent, so the working-age share is \(100-16-20=64\) percent. Therefore it remains unchanged at 64 percent. The fall in the child share is 8 percentage points, and the rise in the elderly share is also 8 percentage points, so the two changes offset one another.

Option A is correct. It is important to distinguish percentage points from percentages: the child share decreases by 8 percentage points, while the elderly share increases by 8 percentage points. Since their combined share stays the same at 36 percent, the remaining working-age share stays at 64 percent. This conclusion concerns composition, not the actual number of working-age people; the total population could still change substantially.

Related tags

Age Structure ChangeWorking Age ShareChild Elderly ShiftPercentage CalculationAge StructurePopulation CompositionGeographyClass 12 Mcq

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