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Q58·CSAT · Prelims 2026

Quantitative — Compound Partnership Yields

NumericalRatio & ProportionArithmetic ProblemMedium

Question

Three partners A, B and C entered into a business. A invested one-third of the capital for one-third duration. B invested one-fourth of the capital for one-fourth duration. C invested the remaining capital for the whole duration. Out of a profit of 17,000, how much profit will C get? [cite: 4867, 4868, 4869, 4870, 4919, 4920, 4921, 4926]

Options

a

12,000

Answer
b

10,000

c

12,500

d

10,750

Explanation

Profit distribution in a partnership follows the product of the capital invested multiplied by the duration of the investment (P_A : P_B : P_C = C_A T_A : C_B T_B : C_C T_C).

Set up convenient baseline values: Let the total capital be 12 units and the total investment timeline be 12 months (since LCM(3,4) = 12).
Calculate independent partner shares:
Partner A: Capital = 1/3 × 12 = 4. Duration = 1/3 × 12 = 4. Product component = 4 × 4 = 16. [cite: 4868, 4919]
Partner B: Capital = 1/4 × 12 = 3. Duration = 1/4 × 12 = 3. Product component = 3 × 3 = 9. [cite: 4869, 4920]
Partner C: Capital = 12 - (4 + 3) = 5 units. Duration = Whole time = 12 months. Product component = 5 × 12 = 60. [cite: 4870, 4920]
Formulate the profit sharing ratio: 16 : 9 : 60.
Sum of all ratio parts = 16 + 9 + 60 = 85 parts.
Calculate C's final share: From the total profit pool of ₹17,000: [cite: 4921, 4926]

Profit for C = 17000 × 60/85 = 200 × 60 = 12,000

Profit splits in structured partnerships are determined by scaling shares based on the product of each partner's capital contribution multiplied by their investment duration.

Answer: (a).

Question details

Year

2026

Paper

CSAT

Question

Q58

Section

Quantitative Aptitude

Sub-topic

Ratio & Proportion

Type

Arithmetic Problem

Difficulty

Medium

Source hint

Partnership structures — capital-time product scaling

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