Living Standards, Poverty and Population: Question 2
Syllabus 5.3
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)?
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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 of the population; working age .
Today: dependants of the population; working age .
Step 2: Compare the two ratios
The dependency ratio has risen from about to about . 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 .
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.