Question

Rohit, Virat and Shikhar were partners, sharing profits and losses in the ratio 3 : 1 : 1. Their capital balance as on March 31, 2024 was ₹ 3,00,000; ₹ 2,70,000 and ₹ 2,50,000 respectively. On the same date, they admitted Hardik as a new partner for 20% share. Hardik was to bring ₹ 80,000 for his share of goodwill and 1/5 of the combined capital of all the partners of the new firm. What will be the amount of capital brought in by Hardik on his admission as a new partner?

पर्याय

• ₹ 2,25,000

• ₹ 1,80,000

• ₹ 2,60,000

• ₹ 3,05,000

Answer 1

₹ 2,25,000

Explanation:

When the new partner’s share is given without details on how it is acquired, the old profit-sharing ratio is considered the sacrificing ratio.

Hardik’s goodwill premium = ₹ 80,000

Rohit’s share of goodwill = `80,000 xx 3/5`

= 48,000

Virat’s share of goodwill = `80,000 xx 1/5`

= 16,000

Shikhar’s share of goodwill = `80,000 xx 1/5`

= 16,000

Adjusted Capitals of old partners:

Rohit’s adjusted capital = ₹ 3,00,000 + ₹ 48,000

= ₹ 3,48,000

Virat’s adjusted capital = ₹ 2,70,000 + ₹ 16,000

= ₹ 2,86,000

Shikhar’s adjusted capital = ₹ 2,50,000 + ₹ 16,000

= ₹ 2,66,000

Combined Capital = 3,48,000 + 2,86,000 + 2,66,000

= 9,00,000

Calculate the Total Capital of the New Firm:

Remaining Share = `1 - 1/5`

= 4/5

Total Firm Capital = `9,00,000 xx 5/4`

= 11,25,000

Hardik’s Capital = `11,25,000 xx 1/5`

= 2,25,000

Total Old Capital = ₹ 3,00,000 + ₹ 2,70,000 + ₹ 2,50,000

= ₹ 8,20,000

The total capital of the new firm will be the Old Partners’ Capital + Hardik’s Capital. Hardik’s capital is `1/5` of this total.

Let X = Hardik’s Capital

Total New Firm Capital = ₹ 8,20,000 + X

Multiply both sides by 5

5X = 8,20,000 + X

Subtract X from both sides

4X = 8,20,000

X = `(8,20,000)/4`

= 2,05,000