A village has 4,000 inhabitants. If 12% of the population are below 15 years old and 3% are above 64 years old, how many people belong to the working‑age group (15–64 years)?
Answer
3,400
The correct answer is 3,400 — Thus, 3,400 people are of working age.
Step-by-step solution
- Compute total percentage of non‑working‑age = 12% + 3% = 15%.
- Working‑age percentage = 100% - 15% = 85%.
- Convert 85% of 4,000 = 0.85 × 4,000.
- Calculate 0.85 × 4,000 = 3,400.
- Thus, 3,400 people are of working age.
Common mistake: Adding percentages incorrectly or misplacing decimal
Concept tested: Working‑age population calculation
Published · How this solution was prepared and checked
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