If the selling price of 10 articles is the same as the cost price of 12 articles, find the gain percent.

Appeared in: AIIMS Rishikesh & Jodhpur NO - 2017

Explanation

The problem establishes a relationship: the selling price (SP) of 10 articles equals the cost price (CP) of 12 articles.
By assuming a base CP for one article (e.g., ₹100), we can find the SP of one article (₹120).
The gain is the difference between the SP and CP per article, which is ₹20.
The gain percentage is calculated using the formula (Gain / CP) × 100, which results in (20 / 100) × 100 = 20%.
When expressed as a decimal, 20% is equivalent to 0.2.

Option A: This value represents an 18% gain, which is an incorrect calculation based on the given relationship between cost price and selling price.
Option C: This value represents a 22% gain. This would imply a higher selling price or lower cost price than what is defined in the problem.
Option D: This value represents a 16% gain, which is an incorrect calculation. It underestimates the actual profit made.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Calculating gain percentage in a profit and loss problem as background academic context rather than a clinical decision trigger.
What if? - If the stem changed one defining clue so that 0.2 no longer matched, reassess the option whose mechanism, classification, or indication now fits the revised presentation.

How to Approach the Question

First, carefully read the question to understand the relationship between the selling price (SP) and cost price (CP). Here, SP of 10 articles = CP of 12 articles.
To make calculations easier, assume a simple number for the cost price of one article, like 100 or 'x'.
Use the given relationship to calculate the selling price of one article based on your assumed cost price.
Apply the formula for gain: Gain = Selling Price - Cost Price.
Use the gain to calculate the gain percentage with the formula: Gain % = (Gain / Cost Price) × 100.
Finally, convert the percentage to a decimal, as required by the options, by dividing by 100.

Concept Tested & Keywords

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