Question

Shashi, Maya and Komal were partners in a firm sharing profits and losses in the ratio of 5 : 3 : 2. On 31st March, 2025 Komal retired. The new profit sharing ratio between Shashi and Maya was decided as 3 : 5. The gain or sacrifice of Shashi and Maya on Komal's retirement was :

• A. Shashi's sacrifice \( \frac{1}{8} \) ; Maya's gain \( \frac{13}{40} \)
• B. Shashi's gain \( \frac{1}{8} \) ; Maya's sacrifice \( \frac{13}{40} \)
• C. Shashi's sacrifice \( \frac{1}{8} \) ; Maya's sacrifice \( \frac{13}{40} \)
• D. Shashi's gain \( \frac{1}{8} \) ; Maya's gain \( \frac{13}{40} \)

Hint:

Gain/Sacrifice = New Share - Old Share

• Positive = Gain
• Negative = Sacrifice

Always convert fractions to a common denominator for easy comparison!

Answer 1

The Correct Option is B

We need to find the gain or sacrifice of Shashi and Maya on Komal's retirement.
Step 1: Identify the old profit sharing ratio.
Old ratio of Shashi : Maya : Komal = 5 : 3 : 2
Total of old ratio = 5 + 3 + 2 = 10

• Shashi's old share = \(\frac{5}{10} = \frac{1}{2}\)
• Maya's old share = \(\frac{3}{10}\)
• Komal's old share = \(\frac{2}{10} = \frac{1}{5}\)

Step 2: Identify the new profit sharing ratio.
After Komal's retirement, Shashi and Maya decided to share profits in the ratio of 3 : 5. New ratio of Shashi : Maya = 3 : 5
Total of new ratio = 8

• Shashi's new share = \(\frac{3}{8}\)
• Maya's new share = \(\frac{5}{8}\)

Step 3: Calculate gain or sacrifice.
\[ \text{Gain or Sacrifice} = \text{New Share} - \text{Old Share} \] For Shashi: \[ \text{Change} = \frac{3}{8} - \frac{1}{2} = \frac{3}{8} - \frac{4}{8} = -\frac{1}{8} \] Negative means sacrifice. So Shashi sacrifices \(\frac{1}{8}\). For Maya: \[ \text{Change} = \frac{5}{8} - \frac{3}{10} = \frac{25}{40} - \frac{12}{40} = \frac{13}{40} \] Positive means gain. So Maya gains \(\frac{13}{40}\). Step 4: Match with the options.
Shashi's sacrifice \(\frac{1}{8}\) ; Maya's gain \(\frac{13}{40}\) \(\Rightarrow\) This matches option (B). Final Answer: (B) Shashi's gain \( \frac{1}{8} \) ; Maya's sacrifice \( \frac{13}{40} \)