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Illustrations · Illustration 13

Q.Mahesh and Dinesh share profits and losses in the ratio of 2:1. From January 01, 2014 they admit Rakesh into their firm who is to be given a share of 1/10 of the profits with a guaranteed minimum of ₹25,000. Mahesh and Dinesh continue to share profits as before but agree to bear any deficiency on account of guarantee to Rakesh in the ratio of 3:2 respectively. The profits of the firm for the year ending December 31, 2015 amounted to ₹1,20,000. Prepare Profit and Loss Appropriation Account.

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Rakesh's 1/10 share works out to ₹12,000, ₹13,000 short of his guarantee — made up by Mahesh and Dinesh in a SEPARATE 3:2 ratio the question specifies, not their usual 2:1 profit-sharing ratio. Final shares: Mahesh ₹64,200, Dinesh ₹30,800, Rakesh ₹25,000.

Concept — deficiency-sharing ratio can differ from the profit-sharing ratio

By default, guaranteeing partners bear a deficiency in the ratio they share profits between themselves. But the deed (or the question, as here) can specify a different ratio for sharing the deficiency specifically — always use whatever ratio is explicitly agreed for the deficiency, even if it doesn't match the normal profit-sharing ratio.

Working Notes — New Ratio

Rakesh's share = 1/10. Remaining 9/10 shared by Mahesh and Dinesh in 2:1: Mahesh = 9/10 × 2/3 = 6/10; Dinesh = 9/10 × 1/3 = 3/10. New ratio = 6:3:1.

Solution

Shares on ₹1,20,000 (ratio 6:3:1):

  • Mahesh: 6/10 × ₹1,20,000 = ₹72,000
  • Dinesh: 3/10 × ₹1,20,000 = ₹36,000
  • Rakesh: 1/10 × ₹1,20,000 = ₹12,000

Deficiency in Rakesh's guarantee: ₹25,000 − ₹12,000 = ₹13,000, borne by Mahesh and Dinesh in the AGREED 3:2 ratio (not 2:1):

  • Mahesh: 3/5 × ₹13,000 = ₹7,800 …

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