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Select the correct answerA,B and C enter into a partnership by investing their capitals in the ratio of 25 : 34 : 58, After 4 months, A increased his capital by 50%, but B decreased his capital by 20%. What is the share of B in the total profit of 2,82,100 at the end of a year?Options101,40097,500100,750

Question

Select the correct answerA,B and C enter into a partnership by investing their capitals in the ratio of 25 : 34 : 58, After 4 months, A increased his capital by 50%, but B decreased his capital by 20%. What is the share of B in the total profit of 2,82,100 at the end of a year?Options101,40097,500100,750

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Solution

To solve this problem, we need to calculate the capital for each partner for the time they invested in the business.

  1. Calculate the initial capital for each partner: A's capital = 25x B's capital = 34x C's capital = 58x

  2. Calculate the capital for each partner after the changes: A's capital after 4 months = 25x + 50% of 25x = 37.5x B's capital after 4 months = 34x - 20% of 34x = 27.2x C's capital remains the same = 58x

  3. Calculate the capital for each partner for the entire year: A's capital for the year = (25x * 4 months) + (37.5x * 8 months) = 100x + 300x = 400x B's capital for the year = (34x * 4 months) + (27.2x * 8 months) = 136x + 217.6x = 353.6x C's capital for the year = 58x * 12 months = 696x

  4. Calculate the total capital for the year: Total capital = 400x + 353.6x + 696x = 1449.6x

  5. Calculate the share of each partner in the total profit: B's share = (B's capital for the year / Total capital) * Total profit = (353.6x / 1449.6x) * 2,82,100 = 0.244 * 2,82,100 = 68,872

So, none of the options given are correct. B's share in the total profit is 68,872.

This problem has been solved

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