Q.Amrinder, Mahinder and Joginder are partners in a firm. Mahinder retires from the firm. On his date of retirement, ₹60,000 becomes due to him. Amrinder and Joginder promise to pay him in instalments every year at the end of the year, to which he agreed. Prepare Mahinder's Loan Account in the following cases:
- When payment is made in four yearly instalments plus interest @ 12% p.a. on the unpaid balance.
- When payment is made in three yearly instalments of ₹20,000 including interest @ 12% p.a. on the outstanding balance during the first three years and the balance including interest in the fourth year.
- When payment is made in four equal yearly instalments including interest @ 12% p.a. on the unpaid balance.
The ₹60,000 due to Mahinder is carried in a Loan Account earning 12% p.a. Case 1 pays a fixed ₹15,000 principal plus interest each year; case 2 pays ₹20,000 a year (interest first); case 3 pays a level annuity of ₹19,754. All three clear the loan in four years.
Concept
When the firm cannot pay a retiring partner immediately, the amount due is transferred to his Loan Account, which is shown on the liabilities side until settled. Each year interest is credited to the loan (Interest A/c Dr. To Loan A/c) and the instalment paid is debited (Loan A/c Dr. To Bank).
Case 1 — Four equal principal instalments (₹15,000) plus interest
Mahinder's Loan Account
| Date | Particulars | J.F. | Amount (₹) | Date | Particulars | J.F. | Amount (₹) |
|---|---|---|---|---|---|---|---|
| Year I | To Bank (15,000 + 7,200) | 22,200 | Year I | By Mahinder's Capital A/c | 60,000 | ||
| To Balance c/d | 45,000 | By Interest A/c | 7,200 | ||||
| 67,200 | 67,200 | ||||||
| Year II | To Bank (15,000 + 5,400) | 20,400 | Year II | By Balance b/d | 45,000 | ||
| To Balance c/d | 30,000 | By Interest A/c | 5,400 | ||||
| 50,400 | 50,400 | ||||||
| Year III | To Bank (15,000 + 3,600) | 18,600 | Year III | By Balance b/d | 30,000 | ||
| To Balance c/d | 15,000 | By Interest A/c | 3,600 | ||||
| 33,600 | 33,600 | ||||||
| Year IV | To Bank (15,000 + 1,800) | 16,800 | Year IV | By Balance b/d | 15,000 | ||
| By Interest A/c | 1,800 | ||||||
| 16,800 | 16,800 |
Case 2 — Three instalments of ₹20,000, balance in year IV
Mahinder's Loan Account
| Date | Particulars | J.F. | Amount (₹) | Date | Particulars | J.F. | Amount (₹) |
|---|---|---|---|---|---|---|---|
| Year I | To Bank | 20,000 | Year I | By Mahinder's Capital A/c | 60,000 | ||
| To Balance c/d | 47,200 | By Interest A/c | 7,200 | ||||
| 67,200 | 67,200 | ||||||
| Year II | To Bank | 20,000 | Year II | By Balance b/d | 47,200 | ||
| To Balance c/d | 32,864 | By Interest A/c | 5,664 | ||||
| 52,864 | 52,864 | ||||||
| Year III | To Bank | 20,000 | Year III | By Balance b/d | 32,864 | ||
| To Balance c/d | 16,808 | By Interest A/c | 3,944 | ||||
| 36,808 | 36,808 | ||||||
| Year IV | To Bank | 18,825 | Year IV | By Balance b/d | 16,808 | ||
| By Interest A/c | 2,017 | ||||||
| 18,825 | 18,825 |
Case 3 — Four equal annual instalments (annuity) including interest
The equal instalment = ₹60,000 × 0.329234 (the 4-year, 12% annuity factor) = ₹19,754.
Mahinder's Loan Account
| Date | Particulars | J.F. | Amount (₹) | Date | Particulars | J.F. | Amount (₹) |
|---|---|---|---|---|---|---|---|
| Year I | To Bank | 19,754 | Year I | By Mahinder's Capital A/c | 60,000 | ||
| To Balance c/d | 47,446 | By Interest A/c | 7,200 | ||||
| 67,200 | 67,200 | ||||||
| Year II | To Bank | 19,754 | Year II | By Balance b/d | 47,446 | ||
| To Balance c/d | 33,386 | By Interest A/c | 5,694 | ||||
| 53,140 | 53,140 | ||||||
| Year III | To Bank | 19,754 | Year III | By Balance b/d | 33,386 | ||
| To Balance c/d | 17,638 | By Interest A/c | 4,006 | ||||
| 37,392 | 37,392 | ||||||
| Year IV | To Bank | 19,754 | Year IV | By Balance b/d | 17,638 | ||
| By Interest A/c | 2,116 | ||||||
| 19,754 | 19,754 |
Case 1: ₹22,200, ₹20,400, ₹18,600, ₹16,800. Case 2: ₹20,000 × 3, then ₹18,825. Case 3: ₹19,754 × 4. The loan is fully settled by the end of year IV in every case.
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