Three partners invested in a business in the ratio 4:3:1. They invested their capitals for 9 months, 2 months, and 11 months, respectively. What was the ratio of their profits?
36:6:11
To find the ratio of their profits, we need to calculate the effective investments of each partner by multiplying their capitals by the respective time periods they were invested.
Let the investments of the three partners be 4x, 3x, and x, respectively. The time periods they were invested are 9 months, 2 months, and 11 months, respectively.
The profit ratio is determined by the product of capital and time (investment period).
Thus, we calculate the effective investments as follows:
- Partner 1: \(4x \times 9 = 36x\)
- Partner 2: \(3x \times 2 = 6x\)
- Partner 3: \(x \times 11 = 11x\)
Therefore, the ratio of their profits is 36x:6x:11x.
By simplifying, we find the profits are in the ratio:
36:6:11
The correct answer is 36:6:11
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:
