if the cost price of 10 chairs is equal to the selling price of 16 chairs, then the loss percent is :

Appeared in: RRB Staff Nurse Delhi-2015

Explanation

The problem establishes a relationship: the cost price (CP) of 10 chairs equals the selling price (SP) of 16 chairs (10 × CP = 16 × SP).
By finding the ratio of CP to SP (CP/SP = 16/10 = 8/5), we can determine the loss per unit.
For a cost of 8 units, the selling price is 5 units, resulting in a loss of 3 units.
The loss percentage is calculated on the cost price: (Loss / CP) × 100.
Substituting the values: (3 / 8) × 100 = 37.5%.

Option B: This value is incorrect and does not result from the standard loss percentage formula.
Option C: This value is incorrect. It does not represent the calculated loss percentage.
Option D: This value is incorrect. It does not match the calculated loss percentage.

Visual 1: Infographic: A visual chart showing the formulas for Profit, Loss, Profit Percentage, and Loss Percentage. It would highlight that the denominator is always the Cost Price.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Calculation of loss percentage in a business transaction as background academic context rather than a clinical decision trigger.
This question tests general quantitative aptitude, a skill required for various competitive examinations, including some nursing entrance exams.
While not directly clinical, the logical reasoning and mathematical skills are foundational for tasks like medication dosage calculation and data interpretation.
What if? - If the stem changed one defining clue so that 37.5% no longer matched, reassess the option whose mechanism, classification, or indication now fits the revised presentation.

How to Approach the Question

First, identify the given relationship between cost price (CP) and selling price (SP). Let the CP of one item be 'c' and SP be 's'.
Translate the word problem into a mathematical equation: 10c = 16s.
Rearrange the equation to find the ratio of the cost price to the selling price (c/s).
Analyze the ratio. If c/s > 1, there is a loss. If c/s < 1, there is a profit.
Use the formula for loss percentage: Loss % = [(CP - SP) / CP] × 100.
Substitute the ratio values into the formula and calculate the final percentage.

Concept Tested & Keywords

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