A, B and C jointly thought of engaging themselves in a business venture. It…

2024

A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. Calculate the share of B in the profit.

  1. A.

    Rs.2660

  2. B.

    Rs.4500

  3. C.

    Rs.3400

  4. D.

    Rs. 2800

Attempted by 3 students.

Show answer & explanation

Correct answer: A

Solution:

  1. Find the manager's share: 5% of Rs. 7400 = Rs. 370. Subtract this from the total profit: 7400 − 370 = Rs. 7030 remain to be divided among A, B and C.

  2. Compute capital×time for each partner:

    • A: 6500 × 6 = 39000

    • B: 8400 × 5 = 42000

    • C: 10000 × 3 = 30000

  3. Reduce the ratios: 39000:42000:30000 = 13:14:10. Total parts = 13 + 14 + 10 = 37.

  4. B's share = (14/37) of Rs. 7030. Since 7030 ÷ 37 = 190, B's share = 190 × 14 = Rs. 2660.

Final answer: Rs. 2660.

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