A and B started a business with an initial amount of 8000. They are invested in 3:2 proportions. After the end of the year they have 60% profit. How much amount will A get?

1. A

   1920

2. B

   4800

3. C

   2880

4. D

   3200

Appeared in: NORCET 3 - 2022 (Shift-2)

Explanation

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• The total profit is calculated as 60% of the initial investment of 8000, which amounts to 4800.
• The profit is shared in the same ratio as the investment, which is 3:2 for partners A and B.
• The total parts of the ratio are 3 + 2 = 5.
• A's share is calculated as (3/5) of the total profit.
• Calculation: (3 / 5) * 4800 = 2880.

Why Other Options Were Wrong

• Option A: This amount represents B's share of the profit, not A's. B's share is (2/5) of the total profit.
• Option B: This is the total profit earned by the business, not A's individual share.
• Option D: This amount represents B's share of the initial investment (2/5 * 8000 = 3200), not A's share of the profit.

Related Visual

• Visual 1: Flowchart - A flowchart can visually break down the calculation. Start with 'Total Investment (8000)', branch to 'Calculate Total Profit (60% of 8000 = 4800)', then branch to 'Distribute Profit (Ratio 3:2)', and finally show the calculation for 'A's Share (3/5 * 4800 = 2880)' and 'B's Share (2/5 * 4800 = 1920)'.

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 a Partnership as background academic context rather than a clinical decision trigger.
• This question tests basic arithmetic and percentage calculation skills, which are fundamental for various non-nursing sections of competitive exams.
• While not directly clinical, numeracy is a critical skill for nurses for tasks like medication dosage calculation, fluid balance monitoring, and interpreting lab results.
• What if the profit was 40%? The total profit would be 0.40 * 8000 = 3200. A's share would then be (3/5) * 3200 = 1920.

How to Approach the Question

• First, carefully read the question to identify the key numerical values: total investment (8000), profit percentage (60%), and the investment ratio (3:2).
• Calculate the total profit amount by applying the percentage to the initial investment: Profit = 0.60 * 8000.
• Understand that the profit is shared in the same proportion as the investment.
• Sum the parts of the ratio to find the total parts (3 + 2 = 5).
• Calculate the share for the specific individual (A) by taking their ratio part (3) over the total parts (5) and multiplying it by the total profit.
• Double-check your calculations and compare the final result with the given options.

Concept Tested & Keywords

• Concept Tested: Profit and Loss Sharing in a Partnership
• Stem keywords: business, initial amount, 8000, invested, 3:2 proportions, 60% profit
• Lead-in keywords: How much amount

Question ID

Q2LvZU9s9ZkRbSgcoDF12J

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