**SOLUTION**

Old Ratio (A, B and C) = 4: 3: 2

New Ratio (B and C) = 2: 1**Gaining Ratio = New Ratio − Old Ratio**

B’s gain = 2/3-3/9 = 6-3/9 = 3/9

C’s gain = 1/3-2/9 = 3-2/9 = 1/9**∴Gaining Ratio = 3: 1**

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## A, B and C were partners sharing profits in the ratio of 4: 3: 2. A died, B and C will share profits in the ratio of 2: 1. Determine the gaining ratio.

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**SOLUTION**

Old Ratio (A, B and C) = 4: 3: 2

New Ratio (B and C) = 2: 1**Gaining Ratio = New Ratio − Old Ratio**

B’s gain = 2/3-3/9 = 6-3/9 = 3/9

C’s gain = 1/3-2/9 = 3-2/9 = 1/9**∴Gaining Ratio = 3: 1**