Kushal and Brijesh together invested ₹58,400 in a business. At the end of the year, out of a total profit of ₹16,500, Brijesh's share was ₹6,600. What was the difference of their investment?

1. A

   ₹10,280

2. B

   ₹11,680

3. C

   ₹13,135

4. D

   ₹13,068

Appeared in: Bihar NHM CHO-2025

Explanation

• First, calculate Kushal's profit by subtracting Brijesh's profit from the total profit (₹16,500 - ₹6,600 = ₹9,900).
• Determine the profit sharing ratio between Kushal and Brijesh, which is ₹9,900 : ₹6,600, simplifying to 3:2.
• Since the investment period is the same for both, the investment ratio is equal to the profit ratio (3:2).
• The difference in their investment corresponds to the difference in the ratio parts (3 - 2 = 1 part).
• Calculate the value of one part by dividing the total investment by the sum of the ratio parts (₹58,400 / (3+2) = ₹11,680). The difference is one part, which is ₹11,680.

Why Other Options Were Wrong

• Option A: This value is an incorrect calculation. It does not align with the proportional difference derived from the 3:2 profit and investment ratio.
• Option C: This is an incorrect value that may result from an arithmetic error, such as miscalculating the value of one part of the investment ratio.
• Option D: This value is another calculation error. The correct method consistently yields ₹11,680 as the difference.

Related Visual

• Visual 1: Flowchart - A flowchart illustrating the logical steps: 1. Calculate individual profits from the total. 2. Determine the profit ratio. 3. Apply this ratio to the total investment. 4. Calculate the final difference based on the ratio parts.

Clinical Relevance

• Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Partnership and Profit Sharing as background academic context rather than a clinical decision trigger.
• This question assesses quantitative aptitude, a skill evaluated in the general aptitude section of many nursing and other competitive entrance examinations.
• While not a direct clinical task, strong numerical literacy is fundamental for nurses for accurate medication dosage calculations, interpreting lab values, and managing patient data.
• What if the total investment was ₹60,000? With the same 3:2 ratio, the total parts are 5. One part would be ₹60,000 / 5 = ₹12,000. The difference (1 part) would then be ₹12,000.

How to Approach the Question

• First, identify all the given financial values: total investment, total profit, and one partner's share of the profit.
• Recognize the core principle for this type of problem: When the investment period is constant for all partners, the Profit Ratio is equal to the Investment Ratio.
• Calculate the second partner's profit by subtracting the first partner's profit from the total.
• Create a ratio of the partners' profits and simplify it to its lowest terms (e.g., A : B).
• This simplified ratio also represents the investment ratio. The difference in investment corresponds to the difference in ratio parts (e.g., A - B).
• Calculate the value of this difference by dividing the total investment by the sum of the ratio parts (A + B) and then multiplying by the difference in the parts (A - B).

Concept Tested & Keywords

• Concept Tested: Partnership and Profit Sharing
• Stem keywords: invested, business, profit, share
• Lead-in keywords: difference of their investment

Question ID

Qm9lN4natmqWQVM2GSLpAk

Copy ID