Question

Disha and Abha were partners in a firm. Farad was admitted as a new partner for 1/5^th share in the profits of the firm. Farad brought proportionate capital. Capitals of Disha and Abha after all adjustments were ₹ 64,000 and ₹ 46,000 respectively. Capital brought by Farad was ______.

विकल्प

• ₹ 22,000

• ₹ 27,500

• ₹ 55,000

• ₹ 28,000

Answer 1

Disha and Abha were partners in a firm. Farad was admitted as a new partner for 1/5^th share in the profits of the firm. Farad brought proportionate capital. Capitals of Disha and Abha after all adjustments were ₹ 64,000 and ₹ 46,000 respectively. Capital brought by Farad was 27,500.

Explanation:

Total combined capital of Disha and Abha = ₹ 64,000 + ₹ 46,000

= ₹ 1,10,000

Farad’s share in profits = `1/5`

Remaining share for Disha and Abha = `1 - 1/5`

= `4/5`

Total Firm Capital = `"Combined Capital" xx "Total Share"/"Combined Share"`

Total Firm Capital = `1,10,000 xx 5/4`

= ₹ 1,37,500

Farad’s Capital = `1,37,500 xx 1/5`

= ₹ 27,500