RRB Staff Nurse Mumbai-2015
Non Nursing Subjects
Hard

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

Appeared in: RRB Staff Nurse Mumbai-2015

Explanation

  • The cost price (CP) of one article is Rs. 10 / 5 = Rs. 2.
  • The selling price (SP) of one article is Rs. 15 / 6 = Rs. 2.5.
  • The gain per article is SP - CP = Rs. 2.5 - Rs. 2 = Rs. 0.5.
  • The gain percentage is calculated as (Gain / CP) * 100.
  • Substituting the values: (0.5 / 2) * 100 = 0.25 * 100 = 25%.

Why Other Options Were Wrong

  • Option A: A 50% gain would mean the selling price is Rs. 3 (since CP is Rs. 2). The calculated selling price is Rs. 2.5, not Rs. 3. This error might occur if one incorrectly calculates the gain as Rs. 1 instead of Rs. 0.5.
  • Option B: A 40% gain on a CP of Rs. 2 would require a gain of Rs. 0.8, leading to an SP of Rs. 2.8. The actual SP is Rs. 2.5. This is a calculation error.
  • Option C: A 35% gain on a CP of Rs. 2 would require a gain of Rs. 0.7, leading to an SP of Rs. 2.7. The actual SP is Rs. 2.5. This is a calculation error.

Related Visual

Visual explanation — Related Visual
  • Visual 1: Flowchart - A step-by-step flowchart illustrating the process: 1. Find CP of one unit. 2. Find SP of one unit. 3. Calculate Gain (SP-CP). 4. Apply formula (Gain/CP)*100 to find Gain %.
Clinical Relevance
  • Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Calculation of profit and loss percentage as background academic context rather than a clinical decision trigger.
  • This question tests basic quantitative aptitude and numerical ability, which are essential skills for nurses.
  • Nurses frequently perform calculations related to medication dosages, IV drip rates, and patient intake/output, all of which require accuracy and a strong foundation in basic math.
  • What if the articles were sold at 4 for Rs. 10? In that case, the SP per article would be 10/4 = Rs. 2.5, which is the same as the original scenario, so the gain percent would remain 25%.
How to Approach the Question
  • First, identify the cost details and selling details from the question stem.
  • Calculate the Cost Price (CP) for a single unit or a convenient number of units.
  • Calculate the Selling Price (SP) for the same number of units.
  • Determine the gain by subtracting the CP from the SP (Gain = SP - CP).
  • Apply the formula for gain percentage: Gain % = (Gain / CP) * 100.
  • Select the option that matches your calculated percentage.
Concept Tested & Keywords
  • Concept Tested: Calculation of profit and loss percentage.
  • Stem keywords: Articles, bought, sold, gain percent
  • Lead-in keywords: gain percent

Question ID

QZaNCynYu_3z8abHdA8ad9

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