Question

J, K, L, M are in partnership sharing profits and losses in the ratio of 9 : 6 : 5 : 5. ‘N’ joins the partnership for 20% share. J, K, L and M would in future share profits among themselves as 3 : 4 : 2 : 1. The new profit sharing ratio will be:

• A. 3 : 4 : 2 : 1 : 5
• B. 9 : 6 : 5 : 5 : 5
• C. 8 : 6 : 4 : 2 : 5
• D. 6 : 8 : 4 : 2 : 5

Hint:

नए साझेदार के प्रवेश पर शेष लाभ को पुराने साझेदारों में नए अनुपात में बाँटा जाता है।

Answer 1

The Correct Option is C

N is admitted for 20% share, therefore remaining 80% share will be divided among J, K, L and M. Their new ratio is given as 3 : 4 : 2 : 1, total = 10 parts. \[ \text{J} = \frac{3}{10} \times 80 = 24,\; \text{K} = \frac{4}{10} \times 80 = 32,\; \text{L} = \frac{2}{10} \times 80 = 16,\; \text{M} = \frac{1}{10} \times 80 = 8,\; \text{N} = 20 \] Dividing by 4, the new ratio becomes: \[ 8 : 6 : 4 : 2 : 5 \]