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Vijay and Manohar share profits and losses in the ratio of 2:1. They admit Prakash as a partner with 1/4 share in profits with a guarantee that his share of profit will be at least Rs. 50,000. The net profit of the firm for the year ending March 31, 2015, was Rs. 1,60,000. Calculate the amount of profit Vijay will get.

Solution

✅ Correct Option: 2

Given:

  • Old ratio of Vijay and Manohar = 2:1
  • Prakash admitted with 1/4 share
  • Guarantee: Prakash's minimum profit = Rs. 50,000
  • Total profit = Rs. 1,60,000

Calculating Prakash's normal share:

Prakash's share = 14×1,60,000\frac{1}{4} \times 1,60,000 = Rs. 40,000

Since the guaranteed amount (Rs. 50,000) is more than the normal share (Rs. 40,000), Prakash will receive the guaranteed amount of Rs. 50,000.


Distribution of remaining profit:

Remaining profit after Prakash's guaranteed share = 1,60,000 - 50,000 = Rs. 1,10,000

This remaining profit is shared between Vijay and Manohar in their old ratio of 2:1.

Vijay's share = 23×1,10,000\frac{2}{3} \times 1,10,000 = Rs. 73,333.33

Manohar's share = 13×1,10,000\frac{1}{3} \times 1,10,000 = Rs. 36,666.67


Verification:

  • Vijay: Rs. 73,333
  • Manohar: Rs. 36,667
  • Prakash: Rs. 50,000
  • Total: Rs. 1,60,000 ✓

The deficiency in Prakash's share (50,000 - 40,000 = Rs. 10,000) is borne by Vijay and Manohar in their profit-sharing ratio, which is why their shares are reduced from what they would have received if all three partners shared in the normal manner.

Answer: Option 2: Rs. 73,333

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