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Ambar, Bimla and Tara are partners in a firm sharing profits in the ratio of 3:2:1. Adnan is admitted into the firm for 1/4 share in profits, which he gets as 1/8 from Ambar and 1/8 from Bimla. The total capital of the firm is agreed upon as Rs. 1,20,000 and Adnan is to bring in cash equivalent to 1/4 of this amount as his capital. The capitals of other partners are also to be adjusted in the ratio of their respective shares in profits. The capitals of Ambar, Bimla and Tara after all adjustments are Rs. 40,000, Rs. 35,000 and Rs. 30,000 respectively. Calculate the cash brought in or paid to each partner.

Choose the correct answer from the options given below:

Solution

✅ Correct Option: 1

New shares: Ambar 1/2−1/8=3/81/2-1/8=3/8, Bimla 1/3−1/8=5/241/3-1/8=5/24, Tara 1/6=4/241/6=4/24, Adnan 1/4=6/241/4=6/24, i.e. 9:5:4:69:5:4:6.

Required capitals on 1,20,0001{,}20{,}000: Ambar 45,00045{,}000, Bimla 25,00025{,}000, Tara 20,00020{,}000, Adnan 30,00030{,}000.

Against existing balances of 40,00040{,}000, 35,00035{,}000 and 30,00030{,}000: Ambar brings 5,0005{,}000; Bimla withdraws 10,00010{,}000; Tara withdraws 10,00010{,}000; Adnan brings 30,00030{,}000.

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