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Pinki, Deepti and Kaku are partner's sharing profits in the ratio of 5:4:1. Kaku is given a guarantee that his share of profits in any given year would not be less than Rs 5000. Deficiency, if any, would be borne by Pinki and Deepu equally. Calculate the deficiency assumed by Pinki and Deepti for each case separately if profits for the year were:-

Case I - Rs 40,000

or

Case II - Rs 60,000

Solution

✅ Correct Option: 1

The profit sharing ratio is Pinki : Deepti : Kaku = 5:4:1 (Total = 10 parts)

Kaku is guaranteed a minimum of Rs 5,000. If his share falls short, the deficiency is shared equally by Pinki and Deepti.


Case I: Profit = Rs 40,000

Kaku's normal share = 110×40,000\frac{1}{10} \times 40,000 = Rs 4,000

Since Kaku's normal share (Rs 4,000) < Guaranteed amount (Rs 5,000)

Deficiency = Rs 5,000 - Rs 4,000 = Rs 1,000

This deficiency is borne equally by Pinki and Deepti:

  • Pinki's share of deficiency = 1,0002\frac{1,000}{2} = Rs 500
  • Deepti's share of deficiency = 1,0002\frac{1,000}{2} = Rs 500

Final distribution:

  • Pinki: Rs 20,000 - Rs 500 = Rs 19,500
  • Deepti: Rs 16,000 - Rs 500 = Rs 15,500
  • Kaku: Rs 4,000 + Rs 1,000 = Rs 5,000

Case II: Profit = Rs 60,000

Kaku's normal share = 110×60,000\frac{1}{10} \times 60,000 = Rs 6,000

Since Kaku's normal share (Rs 6,000) > Guaranteed amount (Rs 5,000)

No deficiency arises. Kaku receives his normal share.

  • Pinki's share of deficiency = Rs 0
  • Deepti's share of deficiency = Rs 0

Option 1 is correct.

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