Question

X, Y and Z are three partners sharing profits in the ratio of 10 : 7 : 5. Z retired. X and Y decided to share profits in equal ratio. The gaining ratio will be:

• A. 1 : 4
• B. 10 : 7
• C. 7 : 10
• D. 4 : 1

Hint:

सेवानिवृत्ति पर लाभ अनुपात = नया हिस्सा − पुराना हिस्सा।

Answer 1

The Correct Option is D

Old profit sharing ratio = 10 : 7 : 5 Total = 22 Old shares: \[ X = \frac{10}{22}, Y = \frac{7}{22} \] New ratio between X and Y = 1 : 1 New share of each: \[ \frac{1}{2} \] Gain of X: \[ \frac{1}{2} - \frac{10}{22} = \frac{1}{22} \] Gain of Y: \[ \frac{1}{2} - \frac{7}{22} = \frac{4}{22} \] Gaining Ratio: \[ 1 : 4 \]