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
Three partners X, Y and Z started their business by investing ₹40,000, ₹38,000 and ₹30,000, respectively. After 6 months, X and Z made additional investments of ₹20,000 and ₹15,000 respectively, whereas Y withdrew ₹8,000. Find the share of Y (in ₹) in the total profit of ₹38,880 made at the end of the year.
A, B and C invested their capitals in the ratio 2 ∶ 3 ∶ 5. The ratio of months for which they invested is 4 ∶ 2 ∶ 3, respectively. If the difference between the profit shares of A and B is Rs. 1,86,000, then C's share of profit (in Rs.) is:
A started a business with a capital of Rs. 54,000 and admitted B and C after 4 months and 6 months, respectively. At the end of the year, the profit was divided among the three in the ratio 1 ∶ 4 ∶ 5. What is the sum (in Rs.) of the capitals invested by B and C?
A, B and C started a business in partnership. Initially, A invested Rs. 29,000, while B and C invested Rs. 25,000 each. After 4 months, A withdrew Rs. 3,000. After 2 more months, C invested Rs. 12,000 more. Find the share of C( in Rs.) in the profit of Rs. 33,200 at the end of the year.
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)?
