DSSSB 14 August 2024
Non Nursing Subjects
Medium

A fruit seller had some Oranges. He sells 80% Oranges and still has 720 Oranges. Originally, number of Oranges, he had:

Appeared in: DSSSB 14 August 2024

Explanation

  • The problem states that 80% of the oranges were sold, which means 100% - 80% = 20% of the oranges remain.
  • This remaining 20% is equal to the 720 oranges the seller still has.
  • To find the total (100%), we can set up the equation: 0.20 × Total = 720.
  • Solving for the total gives: Total = 720 / 0.20, which equals 3600.

Why Other Options Were Wrong

  • Option A: If the original number was 3240, then 20% remaining would be 3240 × 0.20 = 648 oranges, not 720.
  • Option C: If the original number was 5400, then 20% remaining would be 5400 × 0.20 = 1080 oranges, not 720.
  • Option D: This number (900) is derived from an incorrect calculation, possibly by taking 80% of 720 and adding it back (720 * 0.8 = 576; 720+576=1296) or another flawed method. If the original number was 900, the remaining 20% would be 180, not 720.

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 Word Problems as background academic context rather than a clinical decision trigger.
  • Understanding percentages is a fundamental math skill essential for various calculations in daily life, not just in academic settings.
  • This concept is crucial for budgeting, calculating discounts, understanding statistics in news reports, and interpreting data.
  • In a professional context, many fields, including business, finance, and science, rely heavily on percentage calculations for data analysis, performance metrics, and financial reporting.
How to Approach the Question
  • First, read the word problem carefully to identify the given information and what you need to find.
  • Recognize that the total quantity represents 100%.
  • Calculate the percentage of the quantity that remains after a certain percentage is removed (sold, used, etc.). In this case, 100% - 80% = 20%.
  • Set up an equation where the remaining percentage of an unknown total (X) equals the known remaining quantity.
  • Convert the percentage to a decimal or fraction to solve the equation for X.
  • Verify your answer by plugging it back into the problem to ensure it makes sense.
Concept Tested & Keywords
  • Concept Tested: Percentage and Word Problems
  • Stem keywords: fruit seller, Oranges, sells 80%, still has 720 Oranges
  • Lead-in keywords: Originally, number of Oranges, he had

Question ID

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