Question

Guarantee of Profit to a Partner
78. A and B are partners sharing profits in the ratio of 3: 2. C was admitted for 1/6th share of profit with a
minimum guaranteed amount of 10,000. At the close of the first financial year the firm earned a profit of
54,000. Find out the share of profit which A, B and C will get.

Answer 1

Calculation of New Share of profit

Let Total Share be 1.

Share of incoming partner-1/6

Remaining share- 1-1/6=5/6

A's new ratio = 5/6*3/5= 15/30

B's new ratio = 5/6*2/5= 10/30

C's new ratio= = 5/30

New ratio = 3:2:1

Calculation of share of profit

A's share= 7,54,000*3/6 =3,77,000

B's share=7,54,000*2/6= 2,51,333

C's share=7,54,000*1/6=125667

Answer 2

$\huge\mathbb\pink{♡AnSwEr●}$

$new \: ratio \: = 3: 2: 1 \\ profit = 54000 \\ guaranteed \: amount \: of \: c = 10000 \\ share \: of \: a = 54000 \times \frac{3}{6} = 27000 \\ share \: of \: b \: = 54000 \times \frac{2}{6} = 18000 \\ share \: of \: c = 54000 \times \frac{1}{6} = 9000 \\ guaranteed \: amount \: of \: c= 10000 \\ deficiency = guaranteed \: amt \: - actual \: amt \\ = 10000 - 9000 = 1000 \\ sharing \: deficiency \: amount(in \: old \: ratio \: 3: 2 )\: : - \\ a = 1000 \times \frac{3}{5} = 600 \\ b = 1000 \times \frac{2}{5} = 400 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 1000 \\ total \: share \: of \: profit : - \\ share \: of \: a = 27000 - 600 = 26400 \\ \: \: \: b = 18000 - 400 = 17600 \\ \: \: \: \: c = 9000 + 1000 = 10000$

hope this helps..