CUET UG 2025 — Accountancy Partnership

2025mcqmedium

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 the ratio of 3:2 from Kim and Sim. Determine the new profit sharing ratio of the partners.

Official previous-year question

Held on 29 May 2025 · Verified 13 Jul 2026.

Options

A
59:46:40
B
46:11:59
C
11:46:59
D
59:46:35

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Solution

Given Information:

Kim and Sim's old ratio = 4:3
Pim admitted for 1/4 share
Pim acquires from Kim and Sim in ratio 3:2

Calculating Sacrifices:

Pim's share = $\frac{1}{4}$

This $\frac{1}{4}$ is sacrificed by Kim and Sim in 3:2 ratio.

Kim's sacrifice = $\frac{3}{5} \times \frac{1}{4} = \frac{3}{20}$

Sim's sacrifice = $\frac{2}{5} \times \frac{1}{4} = \frac{2}{20} = \frac{1}{10}$

Calculating New Shares:

Kim's old share = $\frac{4}{7}$

Kim's new share = $\frac{4}{7} - \frac{3}{20} = \frac{80}{140} - \frac{21}{140} = \frac{59}{140}$

Sim's old share = $\frac{3}{7}$

Sim's new share = $\frac{3}{7} - \frac{1}{10} = \frac{30}{70} - \frac{7}{70} = \frac{23}{70} = \frac{46}{140}$

Pim's share = $\frac{1}{4} = \frac{35}{140}$

New Profit Sharing Ratio:

Kim : Sim : Pim = $\frac{59}{140} : \frac{46}{140} : \frac{35}{140}$ = 59:46:35

The correct answer is Option 4.

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Solution

Given Information:

Kim and Sim's old ratio = 4:3
Pim admitted for 1/4 share
Pim acquires from Kim and Sim in ratio 3:2

Calculating Sacrifices:

Pim's share = $\frac{1}{4}$

This $\frac{1}{4}$ is sacrificed by Kim and Sim in 3:2 ratio.

Kim's sacrifice = $\frac{3}{5} \times \frac{1}{4} = \frac{3}{20}$

Sim's sacrifice = $\frac{2}{5} \times \frac{1}{4} = \frac{2}{20} = \frac{1}{10}$

Calculating New Shares:

Kim's old share = $\frac{4}{7}$

Kim's new share = $\frac{4}{7} - \frac{3}{20} = \frac{80}{140} - \frac{21}{140} = \frac{59}{140}$

Sim's old share = $\frac{3}{7}$

Sim's new share = $\frac{3}{7} - \frac{1}{10} = \frac{30}{70} - \frac{7}{70} = \frac{23}{70} = \frac{46}{140}$

Pim's share = $\frac{1}{4} = \frac{35}{140}$

New Profit Sharing Ratio:

Kim : Sim : Pim = $\frac{59}{140} : \frac{46}{140} : \frac{35}{140}$ = 59:46:35

The correct answer is Option 4.

CUET UG 2025 — Accountancy Partnership

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CUET UG 2025 — Accountancy Partnership

Options

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Solution

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CUET UG Partnership in other years

More CUET UG Partnership questions

Other Accountancy topics for CUET UG

Company Accounts

Financial Statements

Computerised Accounting

Not-for-Profit

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