Kim and Sim are partners in a firm sharing profits in 4:3 ratio. They admitted Pim as a new partner for 1/4 share in the profits, which he acquired in - Accountancy MCQ CUET Accountancy 2025 29 May Shift 2 2026 | ExamTest.live

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Kim and Sim are partners in a firm sharing profits in 4 : 3 ratio. They admitted Pim as a new partner for \frac{1}{4} share in the profits, which he acquired in the ratio of 3 : 2 from Kim and Sim. Determine the new profit sharing ratio of the partners.

Solution & Step-by-step Explanation

Given:Old Ratio of Kim and Sim = 4 : 3 Pim's share = \frac{1}{4} Pim acquires his share from Kim and Sim in the ratio 3 : 2 .Let's compute the sacrifice made by Kim and Sim: Kim’s Sacrifice = \frac{1}{4} \times \frac{3}{5} = \frac{3}{20} Sim’s Sacrifice = \frac{1}{4} \times \frac{2}{5} = \frac{2}{20} Now, compute the new share for each partner: Kim’s New Share = Old Share - Sacrifice = \frac{4}{7} - \frac{3}{20} = \frac{80 - 21}{140} = \frac{59}{140} Sim’s New Share = Old Share - Sacrifice = \frac{3}{7} - \frac{2}{20} = \frac{60 - 14}{140} = \frac{46}{140} Pim’s Share = \frac{1}{4} = \frac{1 \times 35}{4 \times 35} = \frac{35}{140} Comparing the numerators, the New Profit Sharing Ratio is 59 : 46 : 35 .

Try it yourself before checking the explanation above.

Kim and Sim are partners in a firm sharing profits in 4 : 3 ratio. They admitted Pim as a new partner for \frac{1}{4} share in the profits, which he acquired in the ratio of 3 : 2 from Kim and Sim. Determine the new profit sharing ratio of the partners.

$59:46:40

$46:11:59

$11:46:59

$59:46:35

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