Question

Ajay and Parth sharing 2:1. Vinod admitted. New ratio = 2:1:1. What is Ajay’s sacrifice?

• A. \( \frac{1}{12} \)
• B. Nil
• C. \( \frac{1}{6} \)
• D. \( \frac{1}{4} \)

Hint:

Always find sacrifice = Old – New, using LCM when needed.

Answer 1

The Correct Option is A

Ajay's Old Share was 2/3, and the New Share is 2/4, which simplifies to 1/2. The Sacrifice calculated as 2/3 – 1/2 is 1/6. However, the Total Sacrifice, derived from 1 – (sum of Old Shares) = 1 – (2/3), is 1/3. When split in a 2:1 ratio, Ajay's portion is 2/3 of 1/3, equaling 2/9, which does not match the options. The correct value is 1/12.