A fruit seller had some Guavas. He sells 80% Guavas and still has 900 Guavas. Originally, number of Guavas, he had:

Appeared in: DSSSB 14 August 2024

Explanation

The problem states that 80% of the guavas were sold, which means 20% (100% - 80%) of the original amount remains.
This remaining 20% is equal to the 900 guavas the seller still has.
Setting up the equation: 0.20 × (Original Number) = 900. Solving for the original number gives 900 / 0.20, which equals 4500.

Option A: If the original number was 6750, the remaining 20% would be 1350 guavas (0.20 × 6750), which contradicts the given information that 900 guavas remain.
Option B: If the original number was 1125, the remaining 20% would be 225 guavas (0.20 × 1125), not 900. This value is derived from incorrectly dividing 900 by 0.8.
Option C: If the original number was 4050, the remaining 20% would be 810 guavas (0.20 × 4050), not 900.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Solving percentage-based word problems as background academic context rather than a clinical decision trigger.
Percentage calculations are a fundamental math skill tested in competitive exams and are essential in many real-world applications.
This type of problem assesses logical reasoning and the ability to translate a word problem into a mathematical equation, a skill crucial for data interpretation.
In a nursing context, accurate percentage calculations are critical for tasks like preparing medication dosages (e.g., calculating a percentage-based solution) and interpreting lab results that are expressed as percentages.

How to Approach the Question

First, identify the key pieces of information: the percentage of items sold (80%) and the number of items remaining (900).
Calculate the percentage of items remaining by subtracting the sold percentage from 100%. In this case, 100% - 80% = 20%.
Recognize that the number of remaining items (900) corresponds to the calculated remaining percentage (20%).
Set up an equation to represent this relationship: 20% of the original number ('x') is 900, which translates to 0.20 * x = 900.
Solve the equation for 'x' to find the original total number by dividing 900 by 0.20.
Finally, verify your answer. Calculate 20% of your result (4500) to confirm it equals 900.

Concept Tested & Keywords

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Practise the full DSSSB 14 August 2024

Attempt every question from this paper in a timed mock, then review the full solution for each one.