Living Standards, Poverty and Population: Question 2

Syllabus 5.3

Multiple choice 1 mark

Thirty years ago, 60% of Sundara's population was of working age (16–64), 30% was aged under 16, and 10% was aged 65 or over. Today, because of a falling birth rate and rising life expectancy, only 52% of Sundara's population is of working age, 22% is aged under 16, and 26% is aged 65 or over.

Which of the following best describes the effect of this change on Sundara's dependency ratio (the number of dependants per person of working age)?

Choose an answer to check it, then compare with the worked solution below.

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Worked solution

Step 1: Work out the dependent population, then and now

The dependency ratio compares everyone outside working age (children plus retired people) with everyone of working age.

Thirty years ago: dependants =30%+10%=40%= 30\% + 10\% = 40\% of the population; working age =60%= 60\%. Dependency ratio=40600.67\text{Dependency ratio} = \frac{40}{60} \approx 0.67

Today: dependants =22%+26%=48%= 22\% + 26\% = 48\% of the population; working age =52%= 52\%. Dependency ratio=48520.92\text{Dependency ratio} = \frac{48}{52} \approx 0.92

Step 2: Compare the two ratios

The dependency ratio has risen from about 0.670.67 to about 0.920.92. Although the under-16 share fell (from 30% to 22%), the 65-and-over share rose by even more (from 10% to 26%), so total dependants grew from 40% to 48% of the population, while the working-age share shrank from 60% to 52%. A smaller working-age population is therefore now supporting a larger dependent population, which is option B\boxed{\text{option B}}.

Why the other options are wrong

  • A: a smaller working-age share does not by itself mean a lower dependency ratio. What matters is the size of the working-age population relative to dependants, and here dependants have grown faster than the working-age population has shrunk in proportion.
  • C: the two changes do not cancel out. The fall in the under-16 share (8 percentage points) is smaller than the rise in the 65-and-over share (16 percentage points), so total dependants rise overall.
  • D: fewer children being born reduces the under-16 share, but this is outweighed by the much larger rise in the elderly share, so the dependency ratio still rises rather than falls.

Final answer

  • The dependency ratio has risen (from about 0.67 to about 0.92), option B.