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X and Y are partners sharing profits in the ratio 3:2. Z is entered into the business for 1/4th share of profits, with the guarantee of minimum profits of ₹ 30,000. Profit earned by the business for the year ended March 31st, 2024 is ₹ 1,00,000. Amount of deficiency, if any, will be borne by:

Solution

✅ Correct Option: 3

Z's entitled share = 14\frac{1}{4} × ₹1,00,000 = ₹25,000

Z's guaranteed minimum = ₹30,000

Deficiency = ₹30,000 - ₹25,000 = ₹5,000


When a new partner is admitted with a guaranteed minimum profit, any shortfall between the guaranteed amount and actual share must be compensated by the old partners. This deficiency is borne by the old partners in their old profit sharing ratio, unless stated otherwise in the partnership agreement.


Since X and Y are the old partners sharing profits in 3:2 ratio, they will bear the deficiency of ₹5,000 in the same ratio.

X's share of deficiency = ₹5,000 × 35\frac{3}{5} = ₹3,000

Y's share of deficiency = ₹5,000 × 25\frac{2}{5} = ₹2,000


Verification of final profit distribution:

PartnerCalculationAmount (₹)
ZGuaranteed amount30,000
X(1,00,000 - 30,000) × 3/542,000
Y(1,00,000 - 30,000) × 2/528,000
Total1,00,000

The deficiency of ₹5,000 is borne by X and Y in 3:2 ratio.

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