Preetam bought an article for ₹344 and sold it to Preeti at a loss of 20%. With this amount, Preetam bought another article and sold it at a gain of 56%. What is Preetam's overall gain percentage?

1. A

   0.271

2. B

   0.248

3. C

   0.281

4. D

   0.274

Appeared in: DSSSB 14 August 2024

Explanation

• The problem involves two successive percentage changes: a 20% loss followed by a 56% gain.
• Using the successive percentage change formula [a + b + (ab/100)], we can find the net effect.
• Let a = -20 (loss) and b = +56 (gain).
• The calculation is: -20 + 56 + (-20 * 56) / 100 = 36 - 11.2 = 24.8%.
• A net change of +24.8% represents an overall gain.
• Expressed as a decimal, 24.8% is 0.248.

Why Other Options Were Wrong

• Option A: This value is incorrect and does not result from the correct application of either the successive percentage formula or the step-by-step calculation.
• Option C: This value is incorrect. It may arise from a miscalculation, such as an error in arithmetic when applying the formula.
• Option D: This value is also incorrect and likely stems from a calculation error during the multiplication or division steps.

Related Visual

Clinical Relevance

• Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Successive Percentage Change in Profit and Loss as background academic context rather than a clinical decision trigger.
• This question tests quantitative aptitude, specifically the concept of profit and loss with successive percentage changes.
• While not a clinical skill, quantitative reasoning is a component of many nursing entrance and competitive government job examinations.
• Mastering these concepts is crucial for scoring well in the mathematics or general intelligence sections of these exams.

How to Approach the Question

• First, identify the two percentage changes given in the problem: a 20% loss and a 56% gain.
• Recognize that this is a 'successive percentage change' problem. The final percentage change is independent of the initial value (₹344).
• Recall the formula for successive percentage change: Net % Change = a + b + (ab/100).
• Assign values to 'a' and 'b', remembering to use a negative sign for the loss: a = -20 and b = +56.
• Substitute these values into the formula and solve: -20 + 56 + ((-20 * 56) / 100).
• Calculate the result: 36 - 11.2 = 24.8%.

Concept Tested & Keywords

• Concept Tested: Successive Percentage Change in Profit and Loss
• Stem keywords: bought, sold, loss, gain, overall gain percentage
• Lead-in keywords: What is

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Q7ExU0M7aWfW0ApFB4Cl-T

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