X and Y are partners sharing profits and losses in the ratio of 3 : 2. Z was admitted for the 1/5th share and for this he brings ₹ 1,50,000
X and Y are partners sharing profits and losses in the ratio of 3 : 2. Z was admitted for the 1/5th share and for this he brings ₹ 1,50,000, as capital. If capitals are to be proportionate to profit sharing ratio, the respective capitals of the partners will be:
a) ₹ 3,00,000 : ₹ 3,00,000 : ₹ 1,50,000
b) ₹ 3,60,000 : ₹ 2,40,000 : ₹ 1,50,000
c) ₹ 1,50,000 : ₹ 1,50,000 : ₹ 1,50,000
d) ₹ 1,50,000 : ₹ 2,00,000 : ₹ 4,00,000
Ans – b)
Solution:-
Calculation of the new profit-sharing ratio
Old Ratio = 3 : 2
Z admitted for 1/5th share
Remaining Share = 1 – 1/5 = 4/5
X’s Share in new firm = 4/5 × 3//5 = 12/25
Y’s Share in new firm = 4/5 × 2/5 = 8/25
New Profit sharing ratio after making base equal
12/25 : 8/25 : 1/5 × 5/5
12 : 8 : 5
Total Capital of the firm as per the Z’s Capital in the new firm.
= 1,50,000 × 5 = ₹ 7,50,000
X’s Capital in the new firm = ₹ 7,50,000 × 12/25 = ₹ 3,60,000
Y’s Capital in the new firm = ₹ 7,50,000 × 8/25 = ₹ 2,40,000
Z’s Capital in the new firm = ₹ 7,50,000 × 5/25 = ₹ 1,50,000
₹ 3,60,000 : ₹ 2,40,000 : ₹ 1,50,000