A, B and C are entered into a partnership. A invested Rs.6500 for 6 months, B…

2025

A, B and C are entered into a partnership. A invested Rs.6500 for 6 months, B invested Rs.8400 for 5 months and C invested for Rs.10000 for 3 months. A is a working partner and gets 5% of the total profit for the same. Find the share of C in a total profit of Rs.7400.

  1. A.

    1750

  2. B.

    1900

  3. C.

    8600

  4. D.

    10300

Attempted by 227 students.

Show answer & explanation

Correct answer: B

Answer: Rs.1900

Explanation:

  • Compute time-weighted investments:

    A: 6500 × 6 = 39000

    B: 8400 × 5 = 42000

    C: 10000 × 3 = 30000

  • Simplify the ratio: 39000 : 42000 : 30000 = 26 : 28 : 20 (sum = 74)

  • Working partner (A) gets 5% of total profit: 5% of Rs.7400 = Rs.370

  • Remaining profit to be divided = Rs.7400 − Rs.370 = Rs.7030

  • C's share = Remaining profit × (C's ratio / total ratio) = 7030 × (20/74) = 1900

Therefore, C's share is Rs.1900.

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