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
- M and N start a business. M invests ₹68,000 more than N for 4 months and N invests for 7 months. M's share is ₹856 more than that of N, out of a total profit of ₹6,848. Find the capital contributed by M.
- Rekha, Sanjay, and Poonam invest ₹1,320, ₹1,170, and ₹1,660, respectively, to start a business. If the profit at the end of the year is ₹1,010, then what is the share of Poonam in the profit?
- Kushal and Brijesh together invested ₹37,100 in a business. At the end of the year, out of a total profit of ₹12,000, Brijesh's share was ₹5,700. What was the difference between their investments?
M and N start a business. M invests ₹79,000 more than N for 7 months and N invests for 6 months. M's share is ₹745 more than that of N, out of a total profit of ₹6,705. Find the capital contributed by M.
- Ritik and Sanjay together invested ₹79,200 in a business. At the end of the year, out of a total profit of ₹16,500, Sanjay's share was ₹3,600. What was the difference between their investments?
