Knowee
Questions
Features
Study Tools

A started business by investing RS. 25000. After 3 months B joined. At the end of 9 months from the beginning they shared profit in the ratio 15:16. what was the capital of B.OptionsRS. 60000RS. 40000RS. 25000RS. 50000RS. 30000

Question

A started business by investing RS. 25000. After 3 months B joined. At the end of 9 months from the beginning they shared profit in the ratio 15:16. what was the capital of B.OptionsRS. 60000RS. 40000RS. 25000RS. 50000RS. 30000

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

Solution

The profit shared by A and B is in the ratio of their investments multiplied by the time period for which they invested.

Let's denote:

  • The capital of B as 'x'.
  • The time period A invested for as 'a' (in this case, 9 months).
  • The time period B invested for as 'b' (in this case, 9 - 3 = 6 months).

The ratio of their profits is given as 15:16, so we can write the equation as follows:

(25000 * 9) / (x * 6) = 15 / 16

Solving this equation for 'x' will give us the capital of B.

First, cross-multiply:

16 * 25000 * 9 = 15 * x * 6

Next, simplify:

3600000 = 90x

Finally, solve for 'x':

x = 3600000 / 90 = 40000

So, the capital of B is RS. 40000.

This problem has been solved

Similar Questions

ect answerA started business by investing RS. 25000. After 3 months B joined. At the end of 9 months from the beginning they shared profit in the ratio 15:16. what was the capital of B.

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. 6000Rs. 4800Rs. 7400Rs. 1720

Select the correct answerA,B and C started a business with their capitals in the ratio 2:3:5. A increased his capital by 50% after 4 months, B increased his capital by 3313% after 6 months and C withdrew 50% of his capital after 8 months, from the start of the business. If the total profit at the end of a year was Rs 86,800, then the difference between the shares of A and C in the profit was?OptionsRs 7,000Rs 12,600Rs 8,400

A started a business with Rs. 18000. After 4 months B joins with Rs. 24000. After 2 more months C joins with Rs. 30000. At the end of 10 months C received Rs. 1850 as his share. Find the total profit?OptionsRs. 1955Rs. 6510Rs. 6845Rs. 9030

Select the correct answerA and B entered in to a partnership with capitals in the ratio 4:5. after 3 months, A withdraw ¼ of his capital and B with draw 1/5 of his capital. The gain at the end of 1o months was RS. 760. A’s share in this profit is.OptionsRS. 380RS. 360RS. 400RS. 330RS. 430

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.