CUET UG 2025 — Accountancy Partnership

Sacrificing Ratio = Old Ratio - New Ratio

Old Ratio:
Vijay : Sanjay = 3 : 2

Expressing in fractions:

• Vijay = $\frac{3}{5}$53​
• Sanjay = $\frac{2}{5}$52​

New Ratio:
Vijay : Sanjay : Ajay = 2 : 1 : 1

Expressing in fractions:

• Vijay = $\frac{2}{4} = \frac{1}{2}$42​=21​
• Sanjay = $\frac{1}{4}$41​
• Ajay = $\frac{1}{4}$41​

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Calculating Sacrifice:

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

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

Sacrificing Ratio = $\frac{1}{10} : \frac{3}{20}$101​:203​

Converting to simple ratio by multiplying both sides by 20:

= $\frac{1×20}{10} : \frac{3×20}{20}$101×20​:203×20​

= 2 : 3

The sacrificing ratio of Vijay and Sanjay is 2:3.