Select the correct answerThree partners A, B, C start a business. B's Capital is four times C's capital and twice A's capital is equal to thrice B's capital. If the total profit is Rs 16,500 at the end of a year, Find out B's share in it?Options5,0004,0006,0007,000
Question
Select the correct answerThree partners A, B, C start a business. B's Capital is four times C's capital and twice A's capital is equal to thrice B's capital. If the total profit is Rs 16,500 at the end of a year, Find out B's share in it?Options5,0004,0006,0007,000
Solution 1
To solve this problem, we first need to find the ratio of the capitals of A, B, and C.
Given that B's capital is four times C's capital, we can write this as B = 4C.
Also given that twice A's capital is equal to thrice B's capital, we can write this as 2A = 3B.
We can substitute B = 4C into the second equation to get 2A = 3(4C) = 12C. Therefore, A = 6C.
So, the ratio of A:B:C = 6C:4C:C = 6:4:1.
The total profit is divided among the partners in the ratio of their capitals. So, B's share of the profit is (4/11)*16,500 = Rs 6,000.
Therefore, the correct answer is Rs 6,000.
Solution 2
To solve this problem, we first need to find the ratio of the capitals of A, B, and C.
Given that B's capital is four times C's capital, we can write this as B = 4C.
Also given that twice A's capital is equal to thrice B's capital, we can write this as 2A = 3B.
We can substitute B = 4C into the second equation to get 2A = 3(4C) = 12C. Therefore, A = 6C.
So, the ratio of A:B:C = 6C:4C:C = 6:4:1.
The total profit is divided among the partners in the ratio of their capitals. So, B's share of the profit = (B's capital / Total capital) * Total profit.
Total capital = A + B + C = 6C + 4C + C = 11C.
So, B's share of the profit = (4C / 11C) * 16,500 = 4/11 * 16,500 = Rs 6,000.
Therefore, the correct answer is Rs 6,000.
Similar Questions
Three partners A , B , C start a business . B's Capital is four times C's capital and twice A's capital is equal to thrice B's capital . If the total profit is Rs 16500 at the end of a year ,Find out B's share in it.
Select the correct answerA,B and C are partners in a business. A, whose capital was used for 5 months, claims 17 part of the total profit. B, whose capital was used for 7 months, claims 15 part of the total profit. If C invested Rs. 4,600 for 9 months, then what is the amount invested by A?
Select the correct answerA and B entered in to a partnership with investments of Rs. 15000 and Rs. 40000 respectively. After 3 months A left from the business, at the same time C joins with Rs. 30000, At the end of 9 months they got Rs. 7800 as profit. Find the share of B?OptionsRs. 4800Rs. 7400Rs. 1720Rs. 6000
A, B and C enter into partnership.A invests 3 times as much as B invests and B invests two third of what C invests.At the end of the year, the profit earned is Rs.8500.What is the share of B?Rs.1245.50Rs.1623.53Rs.1545.45Rs.1145.15
Select the correct answerA puts Rs. 600 more in a business than B, but B has invested his capital for 5 months,while A has invested for 4 months. if the share of A in profit in Rs. 48 more that that of B out of the total profit of Rs. 528, Then find the capital contributed by A (in Rs.)?Options2,5002,0001,5001,800
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.