If 96% of the population of a village equals 23,040, find the total population of the village.
Aptitude
Percentage
Difficulty: Easy
Choose an option
Answer
Correct Answer: 24000
Explanation
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:
Total = 23040 / 0.96.Using fraction: 96% = 24/25, so 23040 = (24/25)*Total → Total = 23040*(25/24).First compute 23040/24 = 960.Then Total = 960 * 25 = 24,000.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:
24000