Question

X and Y are partners sharing profits in the ratio 2 : 3. They admitted Z for `1/5`th share of profits, for which he paid ₹ 1,20,000 against capital and ₹ 60,000 as goodwill. Find the capital balances for each partner, taking Z’s capital as base capital.

पर्याय

• ₹ 3,00,000, ₹ 1,20,000 and ₹ 1,20,000

• ₹ 3,00,000, ₹ 1,20,000 and ₹ 1,80,000

• ₹ 1,92,000, ₹ 2,88,000 and ₹ 1,20,000

• ₹ 3,00,000, ₹ 1,80,000 and ₹ 1,80,000

Answer 1

₹ 1,92,000, ₹ 2,88,000 and ₹ 1,20,000

Explanation:

Z’s Share = `1/5`

X + Y Share = `1 - 1/5`

= `4/5`

Calculate the New Profit-Sharing Ratio:

X’s New Share = `4/5 xx 2/5`

= `8/25`

Y’s New Share = `4/5 xx 3/5`

= `12/25`

Z’s Share= `1/5`

= `(1 xx 5)/(5 xx 5)`

= `5/25`

Calculate the Capital Balances for Each Partner:

Total Capital = 1,20,000 × 5

= 6,00,000

X’s Capital = `6,00,000 xx 8/25`

= 1,92,000

Y’s Capital = `6,00,000 xx 12/25`

= 2,88,000

Z’s Capital = `6,00,000 xx 5/25`

= 1,20,000