Dependency Ratio
1. **Stating the problem:** We want to calculate the dependency ratio, which measures the proportion of dependents (young and old) to the working-age population.
2. **Formula:** The dependency ratio is given by:
$$\text{Dependency Ratio} = \frac{\text{Population aged 0-14} + \text{Population aged 65+}}{\text{Population aged 15-64}} \times 100$$
3. **Explanation:**
- The numerator is the total number of dependents: children (0-14 years) plus elderly (65 years and older).
- The denominator is the working-age population (15-64 years).
- Multiplying by 100 converts the ratio into a percentage.
4. **Example:** Suppose a country has 30 million children, 20 million elderly, and 100 million working-age adults.
5. **Calculation:**
$$\text{Dependency Ratio} = \frac{30 + 20}{100} \times 100 = \frac{50}{100} \times 100 = 50\%$$
6. **Interpretation:** A dependency ratio of 50% means there are 50 dependents for every 100 working-age people.
This ratio helps understand the economic burden on the productive population.