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
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:
Adesh and Bhadresh are partners sharing profits and losses in the ratio of 3 ∶ 2. Chandresh is admitted for 20% of share in profits out of which half of the share was gifted by Adesh and remaining was acquired by Chandresh from Adesh and Bhadresh in equal proportion. What would be new profit-sharing ratio?
Mathur started a business by investing R6,76,000 as capital. After 4 months, Goyal joined the business by investing a capital of Rs. 5,07,000. A total of Rs. 2,60,000 including 25% of the total profit was given to Goyal for conducting business at the end of the year. How much profit Mathur will get?
Mannu and Bhanu are partners. Bhanu wants to admit his son Channu into business. Can Channu become the partner of the firm?
L, S and D are partners sharing profits in the ratio of \(\frac{2}{5},\frac{3}{7}\) and \(\frac{3}{10}\). If S retires from the firm, what will be the gain ratio of L
