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Numerical Questions · Q32

Q.X, Y and Z are in Partnership, sharing profits and losses in the ratio of 3: 2: 1, respectively. Z's share in the profit is guaranteed by X and Y to be a minimum of Rs. 8,000. The net profit for the year ended March 31, 2020 was Rs. 30,000. Prepare Profit and Loss Appropriation Account.

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Z’s share is guaranteed at ₹8,000 minimum. Net profit ₹30,000 is distributed in the ratio 3:2:1, but since Z’s share (₹5,000) falls short, the deficiency of ₹3,000 is borne by X and Y in their profit-sharing ratio (3:2). Final profits: X ₹13,200, Y ₹8,800, Z ₹8,000.

Concept First: Why This Treatment?

A guarantee of profit means one partner (here, Z) is assured a minimum amount from the firm’s profits, regardless of what the normal sharing ratio would give. If the actual share under the ratio is less than the guaranteed amount, the deficiency is made up by the guaranteeing partners (X and Y) in their agreed ratio — usually their own profit-sharing ratio, unless stated otherwise.

The key rule: The guarantee is an appropriation of profit, not a charge against profit. It does not reduce the net profit; it only redistributes it among partners. So the Profit and Loss Appropriation Account starts with the net profit of ₹30,000, and we first compute each partner’s share under the 3:2:1 ratio, then adjust for the deficiency.

Watch out

Common Pitfall

Do not treat the guaranteed amount as a fixed payment before dividing the rest. The correct method: divide the whole profit in the ratio, then adjust the deficiency. If you first set aside ₹8,000 for Z and divide the remaining ₹22,000 in 3:2, you get X ₹13,200, Y ₹8,800, Z ₹8,000 — which coincidentally matches here, but that shortcut fails when the guarantee is larger than the ratio share. Always follow the systematic method.

Step-by-Step Solution

Step 1: Compute each partner’s share under the profit-sharing ratio

Net profit = ₹30,000

Ratio = 3 : 2 : 1 (total 6 parts)

  • X’s share = 3/6 × ₹30,000 = ₹15,000
  • Y’s share = 2/6 × ₹30,000 = ₹10,000
  • Z’s share = 1/6 × ₹30,000 = ₹5,000

Step 2: Identify the deficiency in Z’s share

Guaranteed minimum for Z = ₹8,000

Actual share = ₹5,000

Deficiency = ₹8,000 – ₹5,000 = ₹3,000

Step 3: Allocate the deficiency between X and Y

The deficiency is borne by X and Y in their profit-sharing ratio, which is 3:2 (since they are the guaranteeing partners and no other ratio is specified).

  • X’s contribution to deficiency = 3/5 × ₹3,000 = ₹1,800
  • Y’s contribution to deficiency = 2/5 × ₹3,000 = ₹1,200

Step 4: Compute final profit shares

  • X’s final share = ₹15,000 – ₹1,800 = ₹13,200
  • Y’s final share = ₹10,000 – ₹1,200 = ₹8,800
  • Z’s final share = ₹5,000 + ₹3,000 = ₹8,000

Total = ₹13,200 + ₹8,800 + ₹8,000 = ₹30,000 ✓

Tip

Shortcut Check

The deficiency of ₹3,000 is exactly the difference between Z’s guaranteed amount and his ratio share. X and Y reduce their shares by 3:2, so X's final share becomes ₹13,200 and Y's becomes ₹8,800, while Z receives the guaranteed ₹8,000.

Profit and Loss Appropriation Account

For the year ended March 31, 2020

ParticularsAmount (₹)ParticularsAmount (₹)
To Profit transferred to:By Net Profit (as per P&L A/c)30,000
X’s Capital A/c13,200
Y’s Capital A/c8,800
Z’s Capital A/c8,000

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