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Select the correct answerA and B invest in the ratio 3 : 5. After 6 months, C joins the business investing an amount equal to B’s at the end of the year what will be the ratio of their profits?Options13 : 5 : 26 : 10 : 59 : 10 : 51 : 5 : 5

Question

Select the correct answerA and B invest in the ratio 3 : 5. After 6 months, C joins the business investing an amount equal to B’s at the end of the year what will be the ratio of their profits?Options13 : 5 : 26 : 10 : 59 : 10 : 51 : 5 : 5

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Solution

The answer to this question can be found by understanding how the profits are divided in a partnership. In a partnership, the profits are divided in the ratio of the product of the capital invested and the time for which it is invested.

  1. A and B invest in the ratio 3:5. This means that if A invests 3x, B invests 5x.

  2. They both invest for the entire year, so the time for both is 12 months.

  3. After 6 months, C joins the business investing an amount equal to B’s. This means C also invests 5x, but only for the remaining 6 months of the year.

  4. Now, we calculate the ratio of their profits.

    For A, it's (capitaltime) = 3x12 = 36x.

    For B, it's (capitaltime) = 5x12 = 60x.

    For C, it's (capitaltime) = 5x6 = 30x.

  5. So, the ratio of their profits at the end of the year will be 36:60:30.

  6. Simplifying this ratio by dividing each part by 6, we get 6:10:5.

So, the correct answer is 6 : 10 : 5.

This problem has been solved

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