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Question
Rohit and Mohit were partners sharing profits and losses in the ratio of 2:1. Their capital accounts as on 31.3.2021 had a credit balance of ₹ 1,09,000 and ₹ 66,000 respectively. They admitted Sahil as a new partner on 1st April, 2021 for 1/5th share in profits. Sahil brought ₹ 25,000 as his share of goodwill premium. He agreed to contribute capital in new profit-sharing ratio. The amount of capital brought by Sahil was:
Options
₹ 40,000
₹ 32,000
₹ 12,50,000
₹ 50,000
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Solution
₹ 50,000
Explanation:
Old Ratio = 2:1
New Share = 1/5th
Remaining share = `1- 1/5 =4/5`
New Share of Rohit: Rohit`=4/5xx2/3 =8/15`
Mohit =`4/5xx1/3=4/15`
Sahil `= 1/5 xx3/3 = 3/15`
∴ 8 : 4 : 3
Total Capital = 1,09,000 + 66,000 + 25,000 = ₹ 2,00,000
If 4/5th = ₹ 2,00,000
∴ 1/5th =` 2,00,000xx 5/4xx1/5 =₹ 50,000`
Thus, capital brought by sahil = ₹ 50,000
