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 and C invest in a business in the ratio 4 ∶ 5 ∶ 7. C is a sleeping partner, so his share of profits will be half of what it would have been if he were a working partner. If they make Rs 36,000 profit of which 25% is reinvested in the business, how much does B get (in Rs)?
Sumit, Ravi and Puneet invest Rs. 45000, Rs. 81000 and Rs. 90000 respectively to start a business. At the end of the year the total profit is Rs. 4800. 30% of the total profit gives in charity and rest is divided among them. What will be the share of Sumit?
A sum of ₹ 159250 is divided among A, B, C, and D such that the ratio of the shares of A and B is 1 : 3, that of B and C is 2 : 5, and that of C and D is 2 : 3. The share (in ₹) of A is:
A and B start a business by investing Rs. 1,00,000 and Rs. 1,50,000 respectively. Find the respective share of each out of a total profit of Rs. 24, 000.
Two partners A and B have started business with the capitals of Rs. 6,000 and Rs. 8,000 respectively. If they made profit of Rs. 5,600 then the share (in Rs.) of A is:
