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If a country's child share falls from 36 to 24 percent, its elderly share rises from 8 to 14 percent, and the remainder is working age, how much does the working-age share change?

Answer and explanation

Correct answer: It will rise by 6 percentage points

The three age groups together make up the whole population, so their percentages must add to 100. The initial working-age share is found by subtracting the child and elderly shares from the total: \(100-36-8=56\) percent. After the changes, the new working-age share is \(100-24-14=62\) percent. Thus the working-age population share becomes larger even though the elderly share rises, because the decline in the child share is greater than the increase in the elderly share.

The change is \(62-56=6\) percentage points. It is important to say “percentage points,” not simply 6 percent, because the question compares two shares expressed in percentage terms. Therefore, option B is correct: the working-age share rises by 6 percentage points. The 12-point fall in children is partly offset by the 6-point rise in elderly people, leaving a net 6-point gain for the working-age group.

Related tags

Working-Age ChangeAge CompositionPercentage CalculationAge StructurePopulation CompositionGeographyClass 12 Mcq

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