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If children form 18 percent, elderly people 18 percent, and working-age people 64 percent, what is the relationship between child and elderly dependency ratios?

Answer and explanation

Correct answer: Both will be equal

Both dependent groups have exactly the same population share: 18 percent. They are also compared with the same working-age share, 64 percent. When two fractions have equal numerators and the same denominator, their values are equal. The comparison therefore does not require calculating two different-sized ratios.

Child dependency is \(\frac{18}{64}\times100\), and elderly dependency is also \(\frac{18}{64}\times100\). Each is approximately 28.1, although the exact numerical value is not needed to answer the relationship question. Thus both ratios are equal, so option C is correct. A larger child or elderly ratio would require one of the two dependent shares to be larger, which is not the case here.

Related tags

Child DependencyElderly DependencyEqual RatiosAge CalculationAge StructurePopulation CompositionGeographyClass 12 Mcq

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