DSSSB 12 August 2024
Non Nursing Subjects
Medium

90% of the population of a village is 25920. What is the total population of the village?

Appeared in: DSSSB 12 August 2024

Explanation

  • The problem can be set up as an algebraic equation. Let 'P' be the total population.
  • The equation is: 90% of P = 25920, which translates to 0.90 × P = 25920.
  • To solve for P, isolate it by dividing the given number by the percentage (in decimal form): P = 25920 / 0.90.
  • Performing the calculation gives the total population P = 28800.

Why Other Options Were Wrong

  • Option A: This value is too high. Calculating 90% of 37056 results in 33350.4, which does not match the given population figure of 25920.
  • Option B: This value is incorrect. 90% of 30440 is 27396, not 25920. This error might arise from a slight miscalculation.
  • Option D: This value is incorrect. 90% of 29736 is 26762.4, not 25920. This is another potential result of a calculation error.

Related Visual

Visual explanation — Related Visual
Clinical Relevance
  • Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Percentage and Basic Algebra as background academic context rather than a clinical decision trigger.
  • While a general aptitude question, proficiency in percentage calculations is vital in nursing for tasks like medication dosage calculations, determining IV fluid rates, and interpreting patient data (e.g., percentage of weight loss).
  • What if? If the question stated that 25920 was the remaining 10% of the population after an event, the total original population would be calculated as 25920 × 10 = 259,200, highlighting how the framing of the percentage is critical.
How to Approach the Question
  • Step 1: Identify the knowns and the unknown. You know that a part of the population (25920) corresponds to a specific percentage (90%). The unknown is the total population.
  • Step 2: Convert the percentage to a decimal or fraction for calculation. 90% is equal to 0.90 or 90/100.
  • Step 3: Set up an algebraic equation. Let 'P' represent the total population. The equation is 0.90 * P = 25920.
  • Step 4: Solve for the unknown variable 'P' by isolating it. Divide the known part by the percentage: P = 25920 / 0.90.
  • Step 5: Perform the calculation to find the final answer and compare it with the given options.
Concept Tested & Keywords
  • Concept Tested: Percentage and Basic Algebra
  • Stem keywords: population, village, 90%
  • Lead-in keywords: What is

Question ID

QaFnz7ceBh0llDH5Rm8w08

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