DSSSB 12 August 2024
Non Nursing Subjects
Medium
96% of the population of a village is 22920. What is the population of the village?
Appeared in: DSSSB 12 August 2024
Explanation
- The question asks to find the total population when a specific percentage (96%) and its corresponding value (22920) are known.
- Let the total population of the village be represented by the variable 'x'.
- The problem can be set up as an equation: 96% of x = 22920.
- To solve for 'x', first convert the percentage to a decimal: 96% = 96 ÷ 100 = 0.96.
- The equation becomes 0.96 * x = 22920.
- Isolate 'x' by dividing the given number by the decimal: x = 22920 / 0.96, which equals 23875.
Why Other Options Were Wrong
- Option B: This is an incorrect calculation. If the total population were 32131, then 96% of it would be approximately 30846 (0.96 × 32131), not 22920.
- Option C: This is an incorrect calculation. 96% of 24811 is approximately 23819 (0.96 × 24811), which is not the given value of 22920.
- Option D: This is an incorrect calculation. 96% of 25515 is approximately 24494 (0.96 × 25515), not 22920.
Related Visual
Clinical Relevance
- Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Calculating a whole value from a given percentage and its corresponding part as background academic context rather than a clinical decision trigger.
- While this is a general aptitude question, strong numeracy skills, including percentage calculations, are fundamental for safe and effective nursing practice.
- Nurses use percentages daily for tasks such as calculating medication dosages, titrating IV infusions, determining nutritional requirements, and interpreting changes in a patient's condition (e.g., percentage of weight loss).
- What if? If the question stated that the population decreased by 4% to become 22920, this would mean the current population is 96% of the original. The calculation would be the same: 22920 / 0.96 = 23875.
How to Approach the Question
- Identify the given information: a part of the whole (22920) and the percentage that part represents (96%).
- Understand the goal: to find the total value (the whole population).
- Set up an algebraic equation. Let 'P' be the total population. The equation is: 96% of P = 22920.
- Convert the percentage to a decimal or fraction for calculation: 96% = 0.96 or 96/100.
- Rewrite the equation: 0.96 × P = 22920.
- Solve for the unknown variable 'P' by dividing the part by the percentage: P = 22920 ÷ 0.96.
Concept Tested & Keywords
- Concept Tested: Calculating a whole value from a given percentage and its corresponding part.
- Stem keywords: percentage, population, village
- Lead-in keywords: What is
Question ID
QGl6W32O9CU_ZPVrl1dINC
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