Knowee
Questions
Features
Study Tools

Select the correct answerA invest 16 part of total capital for 16 time. B invest 13 part of total capital for 13 time and C invest the rest capital for full time. if the total profit is Rs. 23000. Find the share of B?

Question

Select the correct answerA invest 16 part of total capital for 16 time. B invest 13 part of total capital for 13 time and C invest the rest capital for full time. if the total profit is Rs. 23000. Find the share of B?

🧐 Not the exact question you are looking for?Go ask a question

Solution

To solve this problem, we need to understand that the share of profit for each person is proportional to their investment and the time for which they invested.

  1. Let's assume the total capital is 'x'.

  2. According to the problem, A invests 1/6 of the total capital for 1/6 of the time. So, A's share is proportional to (1/6)x * (1/6) = x/36.

  3. B invests 1/3 of the total capital for 1/3 of the time. So, B's share is proportional to (1/3)x * (1/3) = x/9.

  4. C invests the rest of the capital for the full time. The rest of the capital is x - (1/6)x - (1/3)x = 1/2x. So, C's share is proportional to (1/2)x * 1 = x/2.

  5. The total profit is shared among A, B, and C in the ratio of their shares, which is (x/36) : (x/9) : (x/2) = 1 : 4 : 18.

  6. The total profit is Rs. 23000, which is divided into 1 + 4 + 18 = 23 parts.

  7. Each part is therefore worth 23000 / 23 = Rs. 1000.

  8. B's share is 4 parts, so B gets 4 * Rs. 1000 = Rs. 4000.

This problem has been solved

Similar Questions

ct answerA, B, C start a business each investing Rs 20,000. After 5 month A withdraws Rs 5,000, B withdraws Rs 4,000 & C invests Rs 6,000 more. At the end of the year, a total profit of Rs 69,900 was recorded. Find the share of A?

orrect 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?

f the money was put in for the same duration of time by A,B and C, three business partners and four times A’s capital is equal to 6 times B’s capital is equal to 10 times C’s capital.Determine that out of a total profit of Rs 4650 what is C’s share?Rs.2250Rs.1550Rs.450Rs.900

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,B,C start a business, A invest money for 4 months & claim 18 of the total profit & B invest money for 6 months & claim 13 of the profit while C invest Rs.1560 for 8 months. How much money A & B invest?

1/3

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.