A, B and C started a business investing amounts of ₹2,340, ₹510, and ₹2,000, respectively. If B's share in the profit earned by them is ₹909, what is the difference in the profit (in ₹) earned by A and C?

1. A

   ₹606

2. B

   ₹607

3. C

   ₹608

4. D

   ₹604

Appeared in: Bihar NHM CHO-2025

Explanation

• The fundamental principle is that when the investment duration is equal, profits are shared in the same ratio as the capital invested.
• The investment ratio of A:B:C is ₹2340:₹510:₹2000, which simplifies to 234:51:200.
• B's profit share corresponds to 51 parts of the ratio and is given as ₹909. This allows us to set up the equation 51x = 909 to find the value of one part (x).
• Solving for x gives x = 909/51.
• The difference in profit between A and C corresponds to the difference in their ratio parts, which is 234 - 200 = 34 parts.
• The final answer is calculated by multiplying this difference in parts by the value of x: 34 * (909/51) = 34 * (303/17) = 2 * 303 = 606.

Why Other Options Were Wrong

• Option B: This is an incorrect value, likely resulting from a minor arithmetic error during the final multiplication step (e.g., miscalculating 2 x 303).
• Option C: This value is also incorrect and likely stems from a calculation mistake, possibly in the division to find the value of 'x' or in the final multiplication.
• Option D: This incorrect value is another plausible result of a small calculation error. Such errors are common under exam pressure.

Related Visual

• Visual 1: Flowchart: Illustrating the step-by-step process for solving partnership profit-sharing problems. The chart would show: 1. List Investments -> 2. Calculate Investment Ratio -> 3. Use Given Profit to Find 'x' -> 4. Calculate Required Difference in Ratio Parts -> 5. Multiply to Find Final Answer.

Clinical Relevance

• Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Profit and Loss Sharing in Business Partnerships as background academic context rather than a clinical decision trigger.
• This question tests quantitative aptitude, a critical skill for nurses. Accurate mathematical calculation is essential for tasks like medication dosage calculation, IV drip rate regulation, and interpreting patient data.
• Proficiency in ratio and proportion helps in understanding concentrations, dilutions, and other clinical measurements.
• What if? If the question asked for the total profit earned, you would sum the ratio parts (234 + 51 + 200 = 485) and multiply by the value of 'x'. Total Profit = 485 * (909/51) ≈ ₹8644.41.

How to Approach the Question

• First, identify the type of question. This is a quantitative aptitude problem involving business partnerships.
• List the investments of all partners: A = 2340, B = 510, C = 2000.
• Determine the ratio of their investments by finding a common divisor and simplifying. The ratio is 2340:510:2000, which simplifies to 234:51:200.
• Recognize that the profit is shared in this same ratio. Let the profits be 234x, 51x, and 200x.
• Use the given information (B's profit is ₹909) to create an equation: 51x = 909. Solve for 'x'.
• Identify what the question is asking for: the difference in profit between A and C (234x - 200x = 34x).

Concept Tested & Keywords

• Concept Tested: Profit and Loss Sharing in Business Partnerships
• Stem keywords: business, investing, amounts, profit, share
• Lead-in keywords: what is the difference

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