erA, B and C invested their capitals in the ratio of 2 : 3 : 5. The ratio of months for which A, B and C invested is 4 : 2 : 3. If C gets a share of profit which is ₹1,47,000 more than that of A, then B’s share of profit is:
Question
erA, B and C invested their capitals in the ratio of 2 : 3 : 5. The ratio of months for which A, B and C invested is 4 : 2 : 3. If C gets a share of profit which is ₹1,47,000 more than that of A, then B’s share of profit is:
Solution
To solve this problem, we need to understand that the share of profit for each person is proportional to the product of the capital they invested and the time for which they invested it.
-
First, let's calculate the ratio of the capital-time product for each person. For A, it's 2 (capital) * 4 (time) = 8. For B, it's 3 * 2 = 6. For C, it's 5 * 3 = 15. So, the ratio of the capital-time product for A, B, and C is 8 : 6 : 15.
-
We know that C gets ₹1,47,000 more than A. This means that the difference between C's share and A's share is equal to the difference between their parts in the ratio, multiplied by the value of each part. So, 15 parts - 8 parts = 7 parts. Therefore, each part is equal to ₹1,47,000 / 7 = ₹21,000.
-
Now, we can calculate B's share. B has 6 parts, so B's share is 6 * ₹21,000 = ₹1,26,000.
So, B’s share of profit is ₹1,26,000.
Similar Questions
A, B, C and D invest in a business in the ratio 3:6:2:5 respectively.But the capital was utilized in the proportion 5:3:2:6 respectively.What is share of C out of a profit of Rs.33500?
A' and 'B' started a business by investing in the ratio of 5:7, respectively such that 'B' invested Rs. 600 more than 'A'. After 6 months, 'A' left the business and after two more months, 'C' joined by investing an amount which is twice that by 'A'. Find the profit share ratio of 'A', 'B', and 'C', at the end of the year. a. 10:13:12 b. 5:9:6 c. 15:42:20 d. 10:14:17
A, B and C are partners in a business. Their capitals are respectively, Rs.5000, Rs.6000 and Rs.4000. A gets 30% of the total profit for managing the business. The remaining profit is divided among three in the ratio of their capitals. In the end of the year, the profit of A is Rs.200 more than the sum of the profits of B and C. Find the total profit.ARs. 4500BRs. 5200CRs. 1800DRs. 3000
A, B and C enter into a partnership and invest their capital in the ratio 1 : 2 : 3. Their period of investment are in the ratio 3 : 2 : 1. In what ratio would they distribute their profits?
A, B and C started a business with their capitals in the ratio 4 : 2 : 9. at the end of every quarter, A halves his capital, whereas B doubles his capital and C leaves his capital unchanged. If at the end of a year, A’s profit was Rs.24000 , then what is the total profit?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.