How should a profit of Rs. 8000 be shared among X, Y, and Z if X invests Rs. 20,000 from the beginning, Y invests Rs. 7,500 for 4 months, and Z invests Rs. 15,000 starting 3 months after the business begins?

Explanation

To find the profit-sharing ratio, multiply each partner's investment by the duration of their investment in months. X's share: 20,000 × 12 = 240,000; Y's share: 7,500 × 4 = 30,000; Z's share: 15,000 × 9 = 135,000. The ratio is 240,000 : 30,000 : 135,000, which simplifies to 16 : 2 : 9.