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If the child share falls from 30 percent to 25 percent while the elderly share rises from 10 percent to 15 percent, how does the total dependent share change?

Answer and explanation

Correct answer: It remains at 40 percent

The total dependent share is found by adding the child share and the elderly share. At first, children make up 30 percent and older people make up 10 percent, so the dependent share is \(30+10=40\) percent. Later, the child share falls to 25 percent, but the elderly share rises to 15 percent. The new total is \(25+15=40\) percent. Therefore option B is correct: it remains at 40 percent.

The composition of dependants changes even though their combined share does not. Child dependency decreases by 5 percentage points, while elderly dependency increases by exactly 5 percentage points. These changes cancel in the total. This does not mean that the society has no demographic change; it means only that the two specified dependent groups together occupy the same percentage of the population. Options A and D overlook the offsetting rise, while C adds the changes incorrectly.

Related tags

Total DependencyChild Elderly ShiftAge Structure ChangePercentage CalculationAge StructurePopulation CompositionGeographyClass 12 Mcq

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