Knowee
Questions
Features
Study Tools

Select the correct answerA, B and C enter in to a partnership and their shares are in the ratio ½:1/3:1/4. After 2 months, A withdraw half of his capital and after 10 months, a profit of RS. 378 is divided among them. What is B’s share?OptionsRS. 156RS. 144RS. 170RS. 129RS. 168

Question

Select the correct answerA, B and C enter in to a partnership and their shares are in the ratio ½:1/3:1/4. After 2 months, A withdraw half of his capital and after 10 months, a profit of RS. 378 is divided among them. What is B’s share?OptionsRS. 156RS. 144RS. 170RS. 129RS. 168

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

Solution

To solve this problem, we first need to calculate the ratio of their investments over time, also known as their capital ratios.

  1. The ratio of their shares is given as 1/2 : 1/3 : 1/4. To simplify this, we can find a common denominator, which is 12. So, the ratio becomes 6:4:3 for A, B, and C respectively.

  2. We know that A withdraws half of his capital after 2 months. So, for the first 2 months, A's capital is 6, and for the next 10 months, it's half of that, which is 3. So, A's capital ratio over the year is 26 + 103 = 12 + 30 = 42.

  3. B and C don't change their capital, so their capital ratios are simply 124 = 48 for B and 123 = 36 for C.

  4. The total capital ratio is 42 (for A) + 48 (for B) + 36 (for C) = 126.

  5. B's share of the profit is therefore his capital ratio divided by the total capital ratio, multiplied by the total profit. That is (48/126) * 378 = Rs. 144.

So, the correct answer is Rs. 144.

This problem has been solved

Similar Questions

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

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

Select the correct answerA and B entered into partnership with capitals in the ratio 4:5. After 3 months, A withdrew 14 of his capital and B withdrew 15 of his capital. At the end of 10 months, the gain was Rs.7,600. What is A′s share in the profit?Options3,3003,1004,300

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?Options6,0007,0004,0005,000

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

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.