Question

Kangli, Mangli and Sanvali are partners sharing profits in the ratio of 4 : 3 : 2. Kangli retires . Assuming Mangli and Sanvali will share profits in the future in the ratio of 5 : 3, determine the gaining ratio.

Answer 1

The gaining ratio is 21 : 11

Explanation:

Given,

Kangli, Mangli and Sanvali are partners sharing profits in the ratio of 4 : 3 : 2.

Old Ratio between Kangli, Mangli and Sanvali =4: 3: 2

Mangli and Sanvali will share profits in future in the ratio of 5 : 3

New Ratio between Mangli and Sanvali =5: 3

Calculation of Gain:

The gaining ratio will be calculated using the formula

Gaining Ratio = New Ratio - Old Ratio

Mangli's (Gain)

$=\frac{5}{8}-\frac{3}{9}=\frac{45}{72}-\frac{24}{72}=\frac{21}{72}$

Sanvali's (Gain)

$=\frac{3}{8}-\frac{2}{9}=\frac{27}{72}-\frac{16}{72}=\frac{11}{72}$

Gaining Ratio (Mangli's and Sanvali's)

$=\frac{21: 11}{72}$ or 21 : 11

Thus, the Gaining Ratio of Mangli's and Sanvali's will be 21 : 11