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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

Total profit = Rs. 1,60,000

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

Since Prakash has a guarantee of minimum Rs. 50,000, but his actual share is only Rs. 40,000, he will receive the guaranteed amount of Rs. 50,000.

Deficiency to be borne by old partners = 50,000 - 40,000 = Rs. 10,000


The remaining profit after Prakash's normal share = 1,60,000 - 40,000 = Rs. 1,20,000

This Rs. 1,20,000 is distributed between Vijay and Manohar in their profit-sharing ratio of 2:1:

Vijay's share = 1,20,000×231,20,000 \times \frac{2}{3} = Rs. 80,000

Manohar's share = 1,20,000×131,20,000 \times \frac{1}{3} = Rs. 40,000


The deficiency of Rs. 10,000 is also borne by Vijay and Manohar in their ratio 2:1:

Vijay bears = 10,000×2310,000 \times \frac{2}{3} = Rs. 6,667

Manohar bears = 10,000×1310,000 \times \frac{1}{3} = Rs. 3,333


Final profit for Vijay = 80,000 - 6,667 = Rs. 73,333

Verification: Vijay (73,333) + Manohar (36,667) + Prakash (50,000) = Rs. 1,60,000 ✓

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