If 96% of the population of a village equals 23,040, find the total population of the village.

Introduction / Context:
Finding the whole from a given percentage is a standard percentage application: if a known part corresponds to a percentage, divide by the decimal form of that percentage to get the total.

Given Data / Assumptions:

• 96% of total population = 23,040.
• We want 100% (the total).

Concept / Approach:
If 0.96 * Total = 23,040, then Total = 23,040 / 0.96. Another way: since 96% = 24/25, divide by 24 and multiply by 25 to avoid decimals.

Step-by-Step Solution:

Verification / Alternative check:
Check: 96% of 24,000 = 0.96 * 24,000 = 23,040. Correct.

Why Other Options Are Wrong:

• 32,256; 24,936; 25,640: These do not satisfy 96% = 23,040 when multiplied back.

Common Pitfalls:
Dividing by 96 instead of 0.96, or mixing up the operations. Convert to fraction 24/25 to simplify and avoid decimal errors.

Final Answer: