Multiple choice

Suman began a business with a capital of Rs. 50,000 and after 3 months, Manu entered into the partnership with a capital of Rs. 75,000. Three months later, Amandeep joined the firm with a capital of Rs. 1,25,000. At the end of the year, the firm made a profit of Rs. 99,495. How much of this sum did Amandeep receive?

  1. Rs. 34,850

  2. Rs. 41,250

  3. Rs. 36,850

  4. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Suman invested 50000 for 12 months, Manu 75000 for 9 months, Amandeep 125000 for 6 months. Ratios: 50*12 : 75*9 : 125*6 = 600 : 675 : 750 = 8 : 9 : 10. Total parts = 27. Amandeep's share = (10/27) * 99495 = 36850.

AI explanation

Using the partnership profit sharing method, calculate the effective investment by multiplying each capital by its duration in months. Suman's ratio is 50000 * 12 = 600000, Manu's ratio is 75000 * 9 = 675000, and Amandeep's ratio is 125000 * 6 = 750000, giving a ratio of 8 to 9 to 10. Amandeep's share of the 99495 profit is 10 / 27 of the total, which calculates to (10 / 27) * 99495 = 36850.

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