Select the correct answerA and B are partners in a business. They invest in the ratio 5 : 6, at the end of 8 months A withdraws. If they receive profits in the ratio of 5 : 9, find how long B’s investment was used?Options11 months12 months5 months4 months
Question
Select the correct answerA and B are partners in a business. They invest in the ratio 5 : 6, at the end of 8 months A withdraws. If they receive profits in the ratio of 5 : 9, find how long B’s investment was used?Options11 months12 months5 months4 months
Solution
The profit ratio is given by the ratio of the investments multiplied by the time period for which the investments were made.
Let's denote the time period for which B's investment was used as 'x' months.
According to the problem, A's investment was used for 8 months and B's investment was used for 'x' months. The ratio of their investments is 5:6.
So, the ratio of their profits would be (58) : (6x) = 5 : 9.
Solving this equation, we get:
40 : 6x = 5 : 9
Cross multiplying, we get:
409 = 56x
360 = 30x
x = 360 / 30
x = 12
So, B's investment was used for 12 months.
Therefore, the correct answer is 12 months.
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