Question

Ram, Mohan and Sohan were partners sharing profits in the ratio of 1/5, 1/3 and 7/15 respectively. Sohan retires and his share was taken by Ram and Mohan in the ratio of 3 : 2. Find out the new ratio.

Answer 1

Answer:

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Explanation:

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Answer 2

The new Ratio is 12 : 13

Explanation:

Old ratio (Ram, Mohan and Sohan)

$=\frac{1}{5} : \frac{1}{3} : \frac{7}{15}$

Or

Old Ratio (Ram, Mohan and Sohan)

$= \frac{3}{15} : \frac{5}{15} :\frac{7}{15} = 3:5:7$

Sohan's Profit Share = $\frac{7}{15}$

Sohan taken by share in the ratio (Ram and Mohan) = 3 : 2

Ram's Share

$=\frac {7}{15} \times \frac {3}{5} = \frac {21}{75}$

Mohan's Share

$=\frac {7}{15} \times \frac {2}{5} = \frac {14}{75}$

New Profit Share = Old Profit Share + Sohan taken by Share

Ram's

=$\frac{3}{15}+\frac{21}{75}=\frac{15}{75}+\frac{21}{75}=\frac{36}{75}$

Mohan's

$\frac{5}{15}+\frac{14}{75}=\frac{25}{75}+\frac{14}{75}=\frac{39}{75}$

New profit Sharing Ratio (Ram and Mohan)

$=\frac{36}{75} : \frac{39}{75} = 12 :13$