X, Y, & Z are partners sharing in ratio 6:4:5. Y retires and new ratio between X and Z is 11:4. Which partners gain?
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Explanation:
Old ratio (W, X, Y and Z) = 1/3:1/6:1/3:1/6 or 2 : 1 : 2 : 1
New ratio (W, X and Z) = 1 : 1 : 1
Gaining ratio = New ratio - Old ratio
W's gain = 1/3 - 2/6 = 2/6 - 2/6 = 0
X's gain = 1/3 - 1/6 = 2/6 - 1/6 = 1/6
Z's gain = 1/3 - 1/6 = 2/6 - 1/6 = 1/6
Gaining ratio = 0 : 1 : 1
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