A, B, and C started a business. A invested Rs. 1,20,000, B invested Rs. 80,000, and C invested Rs. 1,00,000. After 6 months, A added Rs. 20,000, and C withdrew Rs. 10,000. If the total profit at the end of 2 years is Rs. 3,60,000, how much will A receive?
₹1,58,049
In a partnership, each partner's share of the profit is proportional to the product of the capital invested and the length of time that capital stayed in the business, measured in capital-months.
The whole venture runs for 2 years, that is 24 months, but A's and C's capitals change after the first 6 months, so each of their contributions splits into two time-blocks.
A invests Rs 1,20,000 for 6 months, then Rs 1,40,000 for the remaining 18 months: \(120000 \times 6 + 140000 \times 18 = 720000 + 2520000 = 3240000\).
B keeps Rs 80,000 for all 24 months: \(80000 \times 24 = 1920000\); C invests Rs 1,00,000 for 6 months then Rs 90,000 for 18 months: \(100000 \times 6 + 90000 \times 18 = 600000 + 1620000 = 2220000\).
The capital-months therefore stand in the ratio \(3240000 : 1920000 : 2220000\), whose total is \(7380000\).
A's share of the Rs 3,60,000 profit is his fraction of that total: \(\frac{3240000}{7380000} \times 360000 \approx 158049\).
The key idea is to weight each rupee by the time it worked, split the changed investments into blocks, and then divide the profit in that ratio.
Hence A receives ₹1,58,049.
Similar Questions
Riya invests 60,000 and Kabir invests 80,000. At the end of the year, they earn a profit of 70,000. How much profit does Kabir get?
A, B, and C are partners in a Business. A and B are sharing the ratio in 3:4 and B: C are sharing in 5:9. At the end of the year, the profit received is Rs 71000. What is the share of A?
A and B started a business with initial investments of Rs. 50,000 and Rs. 1,00,000, respectively. After 6 months, C joined with an investment of Rs. 1,50,000. If the total profit at the end of 1 year is Rs. 4,50,000, how much will C receive?
Aman and Binoy enter into a partnership with capitals in the ratio 4 : 5. If the total profit is Rs 9,000, what will Aman's share be?
A and B invest in a business in the ratio 7:3. If the total profit earned after a year is Rs. 1,00,000, how much profit will B receive?
A, B, and C enter into a partnership. A invests Rs. 4,000 at the start. B invests Rs.6,000 after 4 months. C invests Rs.8,000 after 8 months. If the total profit at the end of the year is Rs.1,650, what is the share of C?
A, B, and C invested Rs. 50,000, Rs. 40,000, and Rs. 30,000, respectively. If the total profit after 1 year is Rs. 90,000, how much will B receive?
A started a business with ₹30,000. B joined after x months with ₹40,000. At the end of the year, their profit-sharing ratio is 3:2. What is the value of x?
A and B start a business with ₹2000 and ₹3000 respectively. After 1 year, total profit is ₹1000. Find B's share.
A invests ₹6000 for 6 months, B invests ₹8000 for 4 months. Find their profit-sharing ratio.
Important Questions from Partnership
Kiran, Vimal and Naveen started a business by investing Rs. 1,35,000, Rs. 1,50,000 and Rs. 1,65,000 respectively. Find the share of each (respectively), out of an annual profit of Rs. 60,000.
When the incoming partner cannot bring premium for goodwill, then the necessary adjustment for goodwill is done through which one of the following?
A, B, C invest Rs. 20000, Rs. 30000, Rs. 40000 in a business. After one year, A withdrew his money but B and C continued for one more year. If the net profit after 2 years be Rs. 32000, then A’s share in the profit is:
Manoj received Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Ramesh earned at the end of one year. If Manoj invested Rs. 20000 for 6 months, whereas Ramesh invested his amount for the whole year, what was the amount invested by Ramesh?
Three friends A, B, and C invested Rs. 20,000, Rs. 18,000, and Rs. 14,000, respectively in a business. If at the end of the year they got a profit of Rs. 7,800, then the profit share of B would be:
