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Question

A invested some money in a business and B joined him after some time and after 1 year the ratio of their profits is 2:1. If B would have joined A 2 months before, the ratio of their profits would have been 2:3. After how many months did B join A?


A

11

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B

8

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C

4

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D

5

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E

7

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Solution

The correct option is A

11


Let the investment of A be `x'

Let the investment of B be `y'

Let the time of investment of B be `a'

Investment of A ×time of investment of AInvestment of B ×time of investment of B=Profit of APtofit of B

x ×12y ×a=21

x ×12y ×(a+2)=23

a = 1

So B will join after 11 months.


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