Two partners, Aman and Bimal have contributed to the capital of a company in a ratio of 3:4. Bimal has invested his capital for 3 months only and received half as much profit as Aman at the end of the year. Then, calculate for how much time did Aman invest his capital in the company?

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answer is C.

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Detailed Solution

Concept- To solve this question, first we will have to find out their effective investment ratio by assuming that Aman invested his money for “t” months. According to the given question statement, we will equate this ratio in the simplified format with the “t” variable to an integer and use these concepts to obtain our desired answer.
Mentioned in the question statement is that, Aman and Bimal have contributed to the capital of a company in a ratio of 3:4.
Also, Bimal has invested his capital for only 3 months while Amal has done so for “t” months.
So, the effective ratio of their investment
= [(3 × Amal’s Investment time): (4 × Bimal’s Investment time)]
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Also, given that Bimal has received half as much profit as Aman, at the end of the year; That means, their overall total investment ratio is also [(Amal : Bimal) = (2 : 1)]
i.e.,
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Hence, the correct answer is 3.

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