Question

A, B and C were partners sharing Profits & Losses in the ratio 7 : 2 : 1. B died. A took over `1/20` from his share and remaining share was taken over by C. Determine the new Profit sharing Ratio.

पर्याय

• 4 : 1

• 7 : 1

• 71 : 29

• 3 : 1

Answer 1

3 : 1

Explanation:

Old Ratio:

A : B : C = 7 : 2 : 1

Total = 10 shares

`B = 2/10 = 1/5`

A_{new share​} = `7/10 + 1/20`

Convert to common denominator (20): 

`7/10 = 14/20`

A_new = `14/20 + 1/20 = 15/20`

Remaining B share:

`1/5-1/20`

`1/5=4/20`

`4/20-1/20=3/20`

So C’s new share:

`1/10+3/20`

`1/10=2/20`

C_new = `2/20+3/20`

`= 5/20`

Final New Ratio: A : C = 15 : 5

= 3 : 1