Articles are bought at 5 for ₹10 and sold at 6 for ₹15 by a man. His gain percent is

Appeared in: RRB Staff Nurse Ahmedabad-2015

Explanation

First, determine the cost price (CP) of a single article: 5 articles for ₹10 means the CP of one article is ₹10 / 5 = ₹2.
Next, determine the selling price (SP) of a single article: 6 articles for ₹15 means the SP of one article is ₹15 / 6 = ₹2.50.
Calculate the profit per article, which is the difference between the SP and CP: Profit = ₹2.50 - ₹2.00 = ₹0.50.
Finally, calculate the gain percentage using the formula: Profit % = (Profit / CP) × 100. This gives (0.50 / 2.00) × 100 = 25%.

Option A: A 50% gain would mean the profit is half of the cost price. Here, the profit (₹0.50) is one-fourth of the cost price (₹2), not half.
Option B: A 40% gain would require a profit of ₹0.80 per article (0.40 x ₹2). The actual profit is only ₹0.50.
Option C: A 35% gain would require a profit of ₹0.70 per article (0.35 x ₹2). The actual profit is only ₹0.50.

Visual 1: Infographic: A step-by-step visual breakdown of the calculation: 1. Find CP per unit. 2. Find SP per unit. 3. Calculate Profit (SP - CP). 4. Calculate Profit % [(Profit/CP) * 100].

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Calculation of Profit Percentage as background academic context rather than a clinical decision trigger.
This question tests basic quantitative aptitude, a skill often included in the non-nursing sections of competitive examinations for recruitment.
While not a direct clinical skill, proficiency in basic mathematics is essential for various nursing tasks, such as calculating medication dosages, IV drip rates, and interpreting patient data charts.
What if the articles were sold at 4 for ₹15? The SP per article would be ₹15 / 4 = ₹3.75. The profit would be ₹3.75 - ₹2 = ₹1.75. The profit percent would then be (1.75 / 2) * 100 = 87.5%.

How to Approach the Question

First, read the question carefully to identify the cost details (5 for ₹10) and selling details (6 for ₹15).
The goal is to find the 'gain percent'. This requires knowing the cost price (CP), selling price (SP), and the formula for profit percentage.
To make a valid comparison, calculate the price for a single unit (one article).
Calculate the CP of one article: ₹10 / 5 = ₹2.
Calculate the SP of one article: ₹15 / 6 = ₹2.50.
Apply the profit percentage formula: Profit % = [(SP - CP) / CP] × 100. Substitute the values and solve.

Concept Tested & Keywords

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