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Do It Yourself · Q1
Q.

Aslam, Jackab, Hari are equal partners with capitals of ₹1,500, ₹1,750 and ₹2,000 respectively. They agree to admit Satnam into equal partnership upon payment in cash of ₹1,500 for one-fourth share of the goodwill and ₹1,800 as his capital, both sums to remain in the business. The liabilities of the old firm amount ₹3,000 and the assets, apart from cash, consist of:

ParticularsAmount (₹)
Motors1,200
Furniture400
Stock2,650
Debtors3,780

The Motors and Furniture were revalued at ₹950 and ₹380 respectively, and the depreciation written-off. Ascertain cash in hand and prepare the balance sheet of the firm after Satnam's admission.

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✓ Free question

Opening cash (balancing figure) = ₹220. After Satnam brings ₹3,300, cash in hand = ₹3,520. Revaluation loss ₹270 shared equally; goodwill ₹1,500 shared equally. Balance Sheet totals ₹11,280.

Concept

Cash is not given directly, so it must be found as the balancing figure of the old firm's Balance Sheet — a common twist in CBSE Class 12 Accountancy admission problems. Because all four partners share equally both before and after, the old partners sacrifice equally, so both the revaluation loss and the goodwill premium are split equally three ways.

Working Notes

1. Opening cash in hand — Old capitals = 1,500 + 1,750 + 2,000 = ₹5,250; add Creditors ₹3,000 = ₹8,250 total. Non-cash assets = Motors 1,200 + Furniture 400 + Stock 2,650 + Debtors 3,780 = ₹8,030. Cash = 8,250 − 8,030 = ₹220.

2. Revaluation — Motors down to ₹950 (loss ₹250); Furniture down to ₹380 (loss ₹20). Total loss ₹270, shared equally → ₹90 each.

3. Goodwill — Satnam pays ₹1,500 for a 1/4 share of goodwill; the old partners each sacrifice 1/3 − 1/4 = 1/12 (equal sacrifice), so ₹1,500 is credited ₹500 to each old partner.

4. Cash in hand after admission — ₹220 + ₹1,800 (Satnam's capital) + ₹1,500 (goodwill) = ₹3,520.

Solution

Partners' Capital Accounts

ParticularsAslam (₹)Jackab (₹)Hari (₹)Satnam (₹)ParticularsAslam (₹)Jackab (₹)Hari (₹)Satnam (₹)
To Revaluation (loss)909090—By Balance b/d1,5001,7502,000—
To Balance c/d1,9102,1602,4101,800By Cash (capital)———1,800
By Premium for Goodwill500500500—
Total2,0002,2502,5001,800Total2,0002,2502,5001,800

Balance Sheet of the firm after Satnam's admission

LiabilitiesAmount (₹)AssetsAmount (₹)
Creditors3,000Cash in hand3,520
Capitals: Aslam 1,910; Jackab 2,160; Hari 2,410; Satnam 1,8008,280Motors950
Furniture380
Stock2,650
Debtors3,780
Total11,280Total11,280
✓Final answer

Cash in hand after Satnam's admission = ₹3,520; the Balance Sheet totals ₹11,280 on both sides.

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