CUET UG 2025 — Accountancy Partnership

Given Information:

• Old ratio of A and B = 3:2
• M is admitted for 1/4 share
• New ratio between A and B = 2:1

Finding Old Shares:

A's old share = $\frac{3}{5}$53​

B's old share = $\frac{2}{5}$52​

---

Finding New Shares:

M's share = $\frac{1}{4}$41​

Remaining share for A and B = $1 - \frac{1}{4} = \frac{3}{4}$1−41​=43​

This $\frac{3}{4}$43​ is divided between A and B in the ratio 2:1

A's new share = $\frac{3}{4} \times \frac{2}{3} = \frac{1}{2}$43​×32​=21​

B's new share = $\frac{3}{4} \times \frac{1}{3} = \frac{1}{4}$43​×31​=41​

---

Calculating Sacrifice:

Sacrifice = Old Share - New Share

A's sacrifice = $\frac{3}{5} - \frac{1}{2} = \frac{6-5}{10} = \frac{1}{10}$53​−21​=106−5​=101​

B's sacrifice = $\frac{2}{5} - \frac{1}{4} = \frac{8-5}{20} = \frac{3}{20}$52​−41​=208−5​=203​

---

Sacrificing Ratio:

A's sacrifice : B's sacrifice = $\frac{1}{10} : \frac{3}{20}$101​:203​

Converting to same denominator: $\frac{2}{20} : \frac{3}{20}$202​:203​

Sacrificing Ratio = 2:3

The correct answer is Option 1: 2:3