A began a business with Rs. 85,000 . He was joined afterwards by B. With Rs. 51,000 . For how much period does B join, if the profits at the end of the year are divided in the ratio of 5: 1 ?

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answer is B.

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Detailed Solution

Concept- Let's begin the solution by setting B's time commitment to be x. Given that they received the same percentage of the profit, which indicates that they both contributed equally in some fashion, we can compare time to money in real life. Take the product of the investment and time of both A and B to get the answer and equate it with 5:1 to get the answer. The contribution to a business is equal to time multiplied by money.
Let's begin the answer to the previous query by setting B's time investment to be x. In a firm, the profit is distributed according to each person's contribution, which might be either monetary or in terms of their time. The contribution in business is the result of both time and financial investment.
As a result, A's contribution is the sum of his time and money investments, which total Rs. 85,000 and one year, respectively.

contribution of

Currently, B's contribution is the result of his time and money investments, which include Rs. 51000 and

months, respectively.

contribution of

Given that the profit was split in a 5:1 ratio, it means that the contribution of

is to B is equal to 5: 1 .

When we cross-multiply now, we obtain

Hence, the right response is option 2.
Syllabus: CBSE

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