Manohar bought an article for ₹478 and sold it at a loss of 15%. With this amount, Manohar bought another article and sold it at a gain of 64%. What is Manohar's overall gain percentage?

1. A

   38.1%

2. B

   34.6%

3. C

   39.4%

4. D

   42.9%

Appeared in: DSSSB October 2024

Explanation

• The problem involves two successive percentage changes: a 15% loss followed by a 64% gain on the subsequent amount.
• The most efficient way to solve this is using the formula for successive percentage change: Net % Change = a + b + (ab/100).
• Here, 'a' is the first percentage change (-15 for a loss) and 'b' is the second percentage change (+64 for a gain).
• Plugging in the values: -15 + 64 + (-15 * 64) / 100 = 49 - 9.6 = 39.4%.
• The positive result of 39.4% signifies an overall gain.

Why Other Options Were Wrong

• Option A: This value is incorrect. It may result from a miscalculation, such as an error in multiplying or dividing during the calculation.
• Option B: This value is incorrect. It is likely the result of a calculation mistake within the successive percentage formula or the traditional step-by-step method.
• Option D: This value is incorrect. A common mistake could be incorrectly adding or subtracting the percentages, for example, (64 - 15 = 49), and then making another error in calculating the (ab/100) part.

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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, a non-nursing subject often included in competitive nursing exams to assess analytical and problem-solving skills.
• Mastering concepts like percentage, profit, and loss is crucial for scoring well in the general aptitude section of these exams.
• What if the second transaction was also a loss of 10%? The overall change would be: -15 - 10 + (-15 * -10)/100 = -25 + 1.5 = -23.5%, representing a 23.5% overall loss.

How to Approach the Question

• First, identify the question type. This is a 'successive percentage change' problem within the topic of Profit and Loss.
• Recognize that there is a loss of 15% followed by a gain of 64%. Represent the loss as a negative percentage (-15) and the gain as a positive percentage (+64).
• Recall the formula for successive percentage change: Net % Change = a + b + (ab/100).
• Substitute the values into the formula: a = -15 and b = 64.
• Calculate the result: -15 + 64 + (-15 * 64)/100.
• Simplify the expression: 49 - 960/100 = 49 - 9.6 = 39.4.

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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Q_jl334ix39yKP34NvuLgs

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